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Works (138)
Updated: April 4th, 2024 17:24
2023 journal article
Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains
APPLIED NUMERICAL MATHEMATICS, 186, 164–201.
author keywords: Optimal control; Dirichlet boundary control; Complex connected domain; Polar coordinates; Fourier finite volume element method; A priori error estimates
Source: Web Of Science
Added: April 24, 2023
2022 journal article
Least squares formulation for ill-posed inverse problems and applications
APPLICABLE ANALYSIS, 101(15), 5247–5261.
author keywords: Ill-posed inverse problem; least squares formulation; continuous dependency on data
Source: Web Of Science
Added: March 29, 2021
2022 journal article
Least-squares method for recovering multiple medium parameters
INVERSE PROBLEMS, 38(12).
author keywords: inverse medium problem; multiple parameters; least-squares method; mixed regularization
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: November 7, 2022
2021 journal article
A Neural Network-Based Policy Iteration Algorithm with Global H-2-Superlinear Convergence for Stochastic Games on Domains
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 21(2), 331–374.
author keywords: Hamilton-Jacobi-Bellman-Isaacs equations; Neural networks; Policy iteration; Inexact semismooth Newton method; Global convergence; q-superlinear convergence
TL;DR:
It is established that the numerical solutions converge globally in the H2, and it is demonstrated that this convergence is superlinear, by interpreting the algorithm as an inexact Newton iteration for the HJBI equation.
(via Semantic Scholar)
link.springer.com (publisher PDF)
Source: Web Of Science
Added: June 8, 2020
2021 journal article
Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 396.
author keywords: Semi-decoupling; Nonlinear singular problem with interface; Puiseux series; Compact finite volume method; Augmented variable; High order convergence
TL;DR:
An accurate semi-decoupling numerical method has been proposed for nonlinear singular differential equation with interface, which combines Puiseux series asymptotic technique with augmented compact finite volume method to decouple the singular interface problem and get high order accurate numerical solution.
(via Semantic Scholar)
Source: Web Of Science
Added: June 21, 2021
2020 journal article
A numerical integration-based Kalman filter for moderately nonlinear systems
TELLUS SERIES A-DYNAMIC METEOROLOGY AND OCEANOGRAPHY, 72(1).
author keywords: data assimilation; Bayesian filtering; Kalman filtering; numerical integration
TL;DR:
A computationally efficient data assimilation scheme based on Gaussian quadrature filtering that potentially outperforms current methods in dataAssumed Gaussian Reduced (AGR) filter is introduced that outperforms ensemble Kalman filters for a Korteweg-de Vries model and a Boussinesq model.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
Source: Web Of Science
Added: March 8, 2021
2019 journal article
A PARALLEL DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION IN LAYERED MEDIA
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 41(5), C505–C521.
author keywords: Helmholtz equation; domain decomposition method; preconditioned iterative method; ultrasonic tomography; geological survey
TL;DR:
An efficient domain decomposition method and its parallel implementation for the solution of the Helmholtz equation in three-dimensional layered media are considered.
(via Semantic Scholar)
Source: Web Of Science
Added: November 25, 2019
2018 journal article
Variational Gaussian approximation for Poisson data
INVERSE PROBLEMS, 34(2).
author keywords: variational Gaussian approximation; Poisson data; hierarchical modeling; Kullback-Leibler divergence; alternating direction maximization
TL;DR:
This work analyzes a variational Gaussian approximation to the posterior distribution arising from the Poisson model with a Gaussian prior, and derives an explicit expression for the lower bound, and shows the existence and uniqueness of the optimalGaussian approximation.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2016 journal article
A CONVEX ANALYSIS APPROACH TO OPTIMAL CONTROLS WITH SWITCHING STRUCTURE FOR PARTIAL DIFFERENTIAL EQUATIONS
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 22(2), 581–609.
author keywords: Optimal control; switching control; partial differential equations; nonsmooth optimization; convexification; semi-smooth Newton method
Source: Web Of Science
Added: August 6, 2018
2016 journal article
A SEQUENTIAL METHOD FOR A CLASS OF STABLE MATHEMATICAL PROGRAMMING PROBLEMS
SIAM JOURNAL ON OPTIMIZATION, 26(2), 1262–1292.
author keywords: sequential linearization; optimal bilinear control; mathematical programming; nonsmooth optimization
TL;DR:
The first order SP method does not rely on an approximation of the Hessian of the Lagrange functional and consequently it avoids instabilities due to possible indefiniteness far from a local minimum, and is especially well suited for bilinear control problems and can be extended to certain classes of nonsmooth and convex problems.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2016 journal article
ANALYSIS ON A NONNEGATIVE MATRIX FACTORIZATION AND ITS APPLICATIONS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 38(5), B645–B684.
author keywords: nonnegative matrix factorization; clustering; feature extraction; multilevel analysis; inverse problems
TL;DR:
A sparse low-rank approximation of positive data and images in terms of tensor products of positive vectors is proposed and a semismooth Newton method based on primal-dual active sets for the nonnegative factorization is proposed.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2016 article
Reduced Order Gaussian Smoothing for Nonlinear Data Assimilation
IFAC PAPERSONLINE, Vol. 49, pp. 199–204.
author keywords: State Estimation; Large-Scale Systems; Order Reduction; Smoothing; Filtering
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
13. Climate Action
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2016 journal article
THE NONNEGATIVE MATRIX FACTORIZATION: REGULARIZATION AND COMPLEXITY
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 38(2), B327–B346.
author keywords: nonnegative matrix factorization; primal-dual active set; regularization; complexity
TL;DR:
The choice of regularization parameters for a regularized NMF problem is discussed, and a primal-dual active set method which enhances the representation is developed which develops a method to choose the proper complexity based on the concept of NMF-singular values.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
DIRECT SAMPLING METHOD FOR DIFFUSIVE OPTICAL TOMOGRAPHY
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 37(4), A1658–A1684.
author keywords: direct sampling method; diffusive optical tomography
TL;DR:
A simple and efficient direct sampling method (DSM) is proposed to locate inhomogeneities inside a homogeneous background and solve the DOT problem in both full and limited aperture cases.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
FINITE DIFFERENCE APPROXIMATIONS FOR MEASURE-VALUED SOLUTIONS OF A HIERARCHICALLY SIZE-STRUCTURED POPULATION MODEL
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(2), 233–258.
author keywords: Hierarchically size-structured population model; measure-valued solutions; finite-difference approximations; convergence analysis
MeSH headings : Algorithms; Computer Simulation; Finite Element Analysis; Humans; Models, Statistical; Population Density; Population Dynamics; Time Factors
TL;DR:
A first order finite difference scheme to compute the measure-valued solution of the quasilinear hierarchically size-structured population model, which shows that solutions to this model can become singular in finite time even if all the individual parameters are smooth.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces
JOURNAL OF COMPUTATIONAL PHYSICS, 298, 305–319.
author keywords: PDE-constrained optimization; Variational discretization; Immersed finite element; Elliptic interface problem
TL;DR:
This paper presents a numerical method and analysis, based on the variational discretization concept, for optimal control problems governed by elliptic PDEs with interfaces, which uses a simple uniform mesh which is independent of the interface.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2015 journal article
On the sectorial property of the Caputo derivative operator
APPLIED MATHEMATICS LETTERS, 47, 43–46.
author keywords: Caputo fractional derivative; Sectorial property
TL;DR:
In this note, the sectorial property of the Caputo fractional derivative operator of order α∈(1,2) with a zero Dirichlet boundary condition is established.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 conference paper
The nonnegative matrix factorization and atomic deconvolution
Proceedings 2015 ieee international conference on bioinformatics and biomedicine, 1650–1657.
TL;DR:
The NMF analysis in the case of the convolution has the clear roles of convolution kernel and signal, and the idea of the two factors to the Fourier transform and a coordinate-descent method is developed in order to determine phases.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2014 journal article
A Note on the Existence of Nonsmooth Nonconvex Optimization Problems
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 163(3), 697–706.
author keywords: Nonsmooth; Nonconvex optimization; Coerciveness
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
A direct sampling method for electrical impedance tomography
INVERSE PROBLEMS, 30(9).
author keywords: electrical impedance tomography; limited data; inhomogeneous inclusions; probing function; indicator function; reconstruction algorithm
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
A variational approach to sparsity optimization based on Lagrange multiplier theory
INVERSE PROBLEMS, 30(1).
Source: Web Of Science
Added: August 6, 2018
2014 journal article
Immersed Interface CIP for One Dimensional Hyperbolic Equations
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 16(1), 96–114.
author keywords: CIP method; immersed interface method; hyperbolic equations in discontinuous media
Source: Web Of Science
Added: August 6, 2018
2014 journal article
Multi-parameter Tikhonov regularization - An augmented approach
CHINESE ANNALS OF MATHEMATICS SERIES B, 35(3), 383–398.
author keywords: Multi-parameter regularization; Augmented Tikhonov regularization; Balanced discrepancy principle
TL;DR:
A balancing principle for choosing regularization parameters from the viewpoint of augmented Tikhonov regularization is revisited, and a new parameter choice strategy is derived called the balanced discrepancy principle.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
OPTIMAL CONTROL WITH L-p(Omega), p epsilon [0,1), CONTROL COST
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 52(2), 1251–1275.
author keywords: L-0 minimization; optimal control; bang-bang control; sparsity optimization; maximum principle; nonsmooth optimization; primal-dual active set method
TL;DR:
A maximum principle is derived and existence of controls, in some cases relaxed controls, is proved, and an estimate on the consequences of relaxation are estimated.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
A direct sampling method for inverse electromagnetic medium scattering
INVERSE PROBLEMS, 29(9).
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
A two-stage method for inverse medium scattering
JOURNAL OF COMPUTATIONAL PHYSICS, 237, 211–223.
author keywords: Inverse medium scattering problem; Reconstruction algorithm; Direct sampling method; Mixed regularization; Semi-smooth Newton method
TL;DR:
A novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from noisy near-field scattered data is presented, which is accurate, computationally efficient, and robust with respect to data noise.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Optimal control laws for traffic flow
APPLIED MATHEMATICS LETTERS, 26(6), 617–623.
author keywords: Traffic signal control; Binary optimization; Lyapunov method; Real time optimal control
TL;DR:
Optimal “on–off” laws for the traffic signals are developed based on the bilinear control problem with the binary constraints and a real-time optimal signal law is developed using a novel binary optimization method.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Recovery of inclusions in 2D and 3D domains for Poisson's equation
INVERSE PROBLEMS, 29(7).
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
10. Reduced Inequalities
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2012 journal article
A MINIMUM EFFORT OPTIMAL CONTROL PROBLEM FOR ELLIPTIC PDES
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 46(4), 911–927.
author keywords: Optimal control; minimum effort; L-infinity control cost; semi-smooth Newton method
Source: Web Of Science
Added: August 6, 2018
2012 journal article
A direct sampling method to an inverse medium scattering problem
INVERSE PROBLEMS, 28(2).
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2012 journal article
The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 4(1), 21–35.
author keywords: Navier-Stokes equations; sensitivity analysis; flow past cylinder; embedding technique; immersed interface method; irregular domain; augmented system; projection method; fluid-solid interaction
TL;DR:
Numerical sensitivity analysis with respect to the Reynolds number can predict the critical Reynolds number at which the vortex shading begins to develop in the wake of the obstacle.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2011 journal article
A REGULARIZATION PARAMETER FOR NONSMOOTH TIKHONOV REGULARIZATION
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 33(3), 1415–1438.
author keywords: regularization parameter; nonsmooth functional; value function; error estimate
TL;DR:
Numerical results indicate the novel rule for choosing regularization parameters in nonsmooth Tikhonov functionals can yield results comparable with those achieved with the discrepancy principle and the optimal choice, and the algorithm merits a fast and steady convergence.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2011 journal article
A new approach to nonlinear constrained Tikhonov regularization
INVERSE PROBLEMS, 27(10).
TL;DR:
A second-order sufficient optimality condition is suggested as a nonlinearity condition to handle the non linearity of the forward operator to derive convergence rate results for a priori as well as a posteriori choice rules, e.g., discrepancy principle and balancing principle for selecting the regularization parameter.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2011 journal article
A new choice rule for regularization parameters in Tikhonov regularization
APPLICABLE ANALYSIS, 90(10), 1521–1544.
author keywords: parameter choice; a posteriori error estimate; Tikhonov regularization
Source: Web Of Science
Added: August 6, 2018
2011 journal article
Dynamic evasion-interrogation games with uncertainty in the context of electromagetics
Numerical Mathematics: Theory, Methods and Applications, 4(3), 359–378.
Source: NC State University Libraries
Added: August 6, 2018
2011 journal article
KARUSH-KUHN-TUCKER CONDITIONS FOR NONSMOOTH MATHEMATICAL PROGRAMMING PROBLEMS IN FUNCTION SPACES
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 49(5), 2133–2154.
author keywords: KKT conditions; nonsmooth optimization; necessary optimality
TL;DR:
Apply Lagrange multiplier rules for abstract optimization problems with mixed smooth and convex terms in the cost to minimum norm control problems, and a class of optimal control problems with distributed state constraints and nonsmooth cost.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2011 journal article
MINIMAL EFFORT PROBLEMS AND THEIR TREATMENT BY SEMISMOOTH NEWTON METHODS
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 49(5), 2083–2100.
author keywords: minimum effort control; Lagrange multiplier theory; semismooth Newton method
TL;DR:
Well-posedness and superlinear convergence of the semismooth Newton method are proved for linear control systems under a controllability condition and the applicability and feasibility of the proposed method are presented.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2011 journal article
MINIMAL INVASION: AN OPTIMAL L-infinity STATE CONSTRAINT PROBLEM
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 45(3), 505–522.
author keywords: Optimal control; optimal L-infinity state constraint; semi-smooth Newton method
Source: Web Of Science
Added: August 6, 2018
2010 journal article
APPROXIMATE NULLSPACE ITERATIONS FOR KKT SYSTEMS
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 31(4), 1835–1847.
author keywords: KKT systems; iterative solvers; optimization
TL;DR:
A linear iteration scheme for solving Karush-Kuhn-Tucker systems arising from optimization problems with linear equality constraints and its practical relevance is investigated by means of a numerical example.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2010 journal article
Optimal control of parabolic variational inequalities
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 93(4), 329–360.
author keywords: Variational inequalities; Strong solutions; Weak solutions; Unbounded domain; Difference schemes; Optimal control
Source: Web Of Science
Added: August 6, 2018
2010 journal article
SEMISMOOTH NEWTON METHODS FOR TIME-OPTIMAL CONTROL FOR A CLASS OF ODES
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 48(6), 3997–4013.
author keywords: semismooth Newton method; time-optimal control
TL;DR:
First numerical tests are presented which show that the proposed approach is different from other methods in that it does not rely on a priori information about the switching structure.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2009 journal article
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains
JOURNAL OF COMPUTATIONAL PHYSICS, 228(7), 2616–2628.
author keywords: Navier-Stokes equations; Embedding technique; Immersed interface method; Irregular domain; Augmented system; Projection method; Level set representation
TL;DR:
An augmented method based on a Cartesian grid is proposed for the incompressible Navier-Stokes equations in irregular domains using the immersed interface method to achieve second order accuracy for the velocity.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2009 journal article
ASYMPTOTIC PROPERTIES OF FEEDBACK SOLUTIONS FOR A CLASS OF QUANTUM CONTROL PROBLEMS
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 48(4), 2323–2343.
author keywords: feedback control; asymptotic tracking; Schrodinger equations
TL;DR:
Control of quantum systems described by the Schrodinger equation is considered, and feedback control laws developed for orbit tracking via controlled Hamiltonians, and their asymptotic properties are analyzed.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2009 journal article
Adaptive techniques for the MRAC, adaptive parameter identification, and on-line fault monitoring and accommodation for a class of positive real infinite dimensional systems
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 23(2), 193–215.
author keywords: positive real; structured perturbations; infinite dimensional systems; adaptive observers; MRAC; fault detection and accommodation
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2009 journal article
LAGRANGE MULTIPLIER APPROACH WITH OPTIMIZED FINITE DIFFERENCE STENCILS FOR PRICING AMERICAN OPTIONS UNDER STOCHASTIC VOLATILITY
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 31(4), 2646–2664.
author keywords: American option pricing; stochastic volatility model; linear complementarity problem; finite difference method; quadratic programming; multigrid method; Lagrange method; penalty method
TL;DR:
The deterministic numerical valuation of American options under Heston's stochastic volatility model is considered and a Lagrange approach is used to treat the linear complementarity problems.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
8. Decent Work and Economic Growth
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2009 journal article
On a semi-smooth Newton method and its globalization
MATHEMATICAL PROGRAMMING, 118(2), 347–370.
TL;DR:
This paper addresses the globalization of the semi-smooth Newton method for non-sm smooth equations F(x) = 0 in $${\mathbb{R}}^m$$ with applications to complementarity and discretized ℓ1-regularization problems.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2009 journal article
On the shape derivative for problems of Bernoulli type
Interfaces and Free Boundaries, 11(2), 317–330.
Source: NC State University Libraries
Added: August 6, 2018
2008 journal article
A domain decomposition solver for acoustic scattering by elastic objects in layered media
JOURNAL OF COMPUTATIONAL PHYSICS, 227(19), 8685–8698.
author keywords: fast Helmholtz solver; scattering from elastic targets; domain decomposition preconditioner
TL;DR:
An improved finite element discretization based on trilinear basis functions leading to fourth-order phase accuracy is described, which demonstrates capability to evaluate the scattered field with hundreds of wavelengths.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2008 conference paper
A finite element method for interface problems with locally modified triangulations
Moving interface problems and applications in fluid dynamics, 466, 179–190.
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
2008 journal article
A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach
Journal of Computational Physics, 227(17), 8177–8190.
author keywords: Stokes equations; compact fourth order MAC finite difference scheme; staggered grid
TL;DR:
A high order compact MAC finite difference scheme based on the staggered grid is developed for solving Stokes equations with a Dirichlet boundary condition on the velocity through a novel high order boundary treatment via introducing a suitable augmented variable.
(via Semantic Scholar)
Sources: Crossref, Web Of Science
Added: August 6, 2018
2008 conference paper
A high order finite difference scheme for the Stokes equations
Moving interface problems and applications in fluid dynamics, 466, 35–51.
Source: NC State University Libraries
Added: August 6, 2018
2008 journal article
REDUCED-ORDER OPTIMAL CONTROL BASED ON APPROXIMATE INERTIAL MANIFOLDS FOR NONLINEAR DYNAMICAL SYSTEMS
SIAM JOURNAL ON NUMERICAL ANALYSIS, 46(6), 2867–2891.
author keywords: reduced-order methods; approximate inertial manifold; nonlinear Galerkin; decomposition of state space; infinite dimensional system
TL;DR:
A reduced-order method for optimal control problems in infinite dimensions based on approximate inertial manifolds is developed and special attention is given to the particular case when the dynamics are described by the Navier-Stokes equations in dimension two.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2008 journal article
Semi-smooth Newton methods for the Signorini problem
APPLICATIONS OF MATHEMATICS, 53(5), 455–468.
author keywords: Signorini problem; variational inequality; semi-smooth Newton method; primal-dual active set strategy
Source: Web Of Science
Added: August 6, 2018
2008 journal article
Variational approach to shape derivatives
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 14(3), 517–539.
author keywords: shape derivative
Source: Web Of Science
Added: August 6, 2018
2007 article
A fast iterative solver for scattering by elastic objects in layered media
APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 811–820.
TL;DR:
A fast iterative solver for computing time-harmonic acoustic waves scattered by an elastic object in layered media using a domain decomposition preconditioner in the iterative solution of the resulting system of linear equations.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Adaptive monitoring and accommodation of nonlinear actuator faults in positive real infinite dimensional systems
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 52(12), 2332–2338.
author keywords: actuator faults; distributed parameter systems; fault accommodation; nonlinear actuator dynamics
TL;DR:
A robust modification is utilized in order to avoid false alarms caused by unmodelled dynamics and to assist in the fault accommodation of positive real infinite dimensional systems subjected to incipient actuator faults.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2007 journal article
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces
COMPUTERS & FLUIDS, 36(3), 622–635.
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2007 journal article
An immersed interface method for the Navier-Stokes equations on irregular domains
PAMM, 7(1), 1025401–1025402.
Sources: Crossref, NC State University Libraries
Added: February 24, 2020
2007 journal article
Convergence of the primal-dual active set strategy for diagonally dominant systems
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 46(1), 14–34.
author keywords: primal-dual active set strategy; diagonally dominant systems; bilateral constraints; globalization
TL;DR:
Sufficient conditions for global convergence of the primal-dual active set strategy for finite and infinite dimensional quadratic, as well as nonlinear optimization, problems with affine equality and inequality constraints are presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Optimal bilinear control of an abstract Schrodinger equation
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 46(1), 274–287.
author keywords: Schrodinger equation; C(0)-groups; optimal control; optimality systems; monotone scheme
TL;DR:
Convergence of the monotone scheme for the solution of the optimality system is proved and the existence of optimal control of such systems is proved.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Optimal control of obstacle problems by H-1-obstacles
APPLIED MATHEMATICS AND OPTIMIZATION, 56(1), 1–17.
author keywords: control of variational inequalities; optimality system; Moreau-Yosida approximation
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Shape derivatives without taking the shape derivative
PAMM, 7(1), 1061005–1061006.
Source: Crossref
Added: February 24, 2020
2006 journal article
A homogenization model for laser beam-induced current imaging and detection of non-uniformities in semiconductor arrays
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 194(2), 395–408.
author keywords: semiconductor arrays; laser beam-induced current; LBIC; homogenization; inverse problems
Source: Web Of Science
Added: August 6, 2018
2006 journal article
A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate
MATHEMATICAL BIOSCIENCES, 204(1), 21–48.
author keywords: erythropoiesis; structured model; finite difference approximation; existence-uniqueness; behavior of solutions
MeSH headings : Cell Differentiation / physiology; Computer Simulation; Erythroid Precursor Cells / physiology; Erythropoiesis / physiology; Erythropoietin / physiology; Humans; Models, Biological
TL;DR:
A quasilinear structured model that describes the regulation of erythropoiesis, the process in which red blood cells are developed shows that a velocity of precursor cells maturation rate and a decay rate of the hormone which is an increasing function of the number of precursor Cells have a stabilizing effect on the dynamics of the model.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2006 journal article
An augmented approach for the pressure boundary condition in a Stokes flow
Communications in Computational Physics, 1(5), 874–885.
Source: NC State University Libraries
Added: August 6, 2018
2006 journal article
Determination of interrogating frequencies to maximize electromagnetic backscatter from objects with material coatings
Communications in Computational Physics, 1(2), 362–382.
Source: NC State University Libraries
Added: August 6, 2018
2006 journal article
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources
APPLIED MATHEMATICS LETTERS, 19(3), 229–234.
author keywords: incompressible Stokes equations; interface; discontinuous viscosity; interface conditions; singular sources
TL;DR:
The interface conditions, or jump conditions, for the pressure and the velocity of the solution to the incompressible Stokes equations with a discontinuous viscosity and a singular source along an interface are derived in this work.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2006 journal article
Material surface design to counter electromagnetic interrogation of targets
SIAM JOURNAL ON APPLIED MATHEMATICS, 66(3), 1027–1049.
author keywords: electromagnetic; inverse scattering; attenuation
TL;DR:
F Fresnel's law for the reflectance index is extended to the electromagnetic propagation in anisotropic composite layers of ferromagnetic and electronic devices and is used to demonstrate feasibility of control of reflections.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2006 journal article
Parabolic variational inequalities: The Lagrange multiplier approach
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 85(3), 415–449.
author keywords: parabolic variational inequalities; Lagrange multipliers; feasible and unfeasible regularization; Black-Scholes
Source: Web Of Science
Added: August 6, 2018
2006 journal article
Preconditioned iterative methods on sparse subspaces
APPLIED MATHEMATICS LETTERS, 19(11), 1191–1197.
author keywords: subspace iteration; preconditioning; Krylov subspace method; domain decomposition method; fictitious domain method; interface problem
TL;DR:
This work considers the iterative solution of a discretized partial differential equation on this sparse subspace of a domain decomposition method and a fictitious domain method, where the subspace corresponds a small neighborhood of an interface.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2006 journal article
Receding horizon control with incomplete observations
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 45(1), 207–225.
author keywords: receding horizon control; incomplete observations; dynamic compensator
TL;DR:
This work continues the analysis of receding horizon strategies, considering the situation when only partial state observations are available, and proposes a linear quadratic Gaussian design based on a linearization procedure that achieves the design objective with significantly less computational effort.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2006 journal article
Reduced order control based on approximate inertial manifolds
LINEAR ALGEBRA AND ITS APPLICATIONS, 415(2-3), 531–541.
author keywords: reduced order method; approximate inertial manifold; LQR-problern; decomposition of state space; infinite-dimensional system
Source: Web Of Science
Added: August 6, 2018
2006 book
The immersed interface method: Numerical solutions of PDEs involving interfaces and irregular domains
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
2006 journal article
Variational approach to shape derivatives for a class of Bernoulli problems
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 314(1), 126–149.
author keywords: shape derivative; Bernoulli problem; level set
Source: Web Of Science
Added: August 6, 2018
2005 journal article
A method for determination of optimal gaits with application to a snake-like serial-link structure
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 50(9), 1291–1306.
author keywords: locomotion; optimal gaits; numerical optimal control; reduction
TL;DR:
This method is the synthesis of techniques for computing reduced equations for robotic locomotion systems and a numerical optimal control strategy and provides scientific merit to hypotheses concerning observed locomotion phenomena amongst animals employing undulatory propulsive mechanisms.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
An optimal optical flow
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44(2), 728–742.
author keywords: optical flow; feedback solution
TL;DR:
Feedback solutions for determining optical flow for the image registration problem are proposed and it is shown that they are optimal for certain optimal control formulations of the problem.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27(1), 346–367.
author keywords: fourth order finite difference schemes; elliptic and parabolic equations on irregular domains; immersed interface method
TL;DR:
Second and fourth order Cartesian grid based finite difference methods are proposed for elliptic and parabolic partial differential equations, and associated eigenvalue problems on irregular domains with general boundary conditions.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2005 journal article
Investigation of laser beam-induced current techniques for heterojunction photodiode characterization
JOURNAL OF APPLIED PHYSICS, 98(3).
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Measure-valued solutions for a hierarchically size-structured population
JOURNAL OF DIFFERENTIAL EQUATIONS, 217(2), 431–455.
author keywords: hierarchical size-structured population model; measure-valued solutions; viscosity method; growth rate with an Allee effect
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2004 journal article
LBIC imaging of semiconductor arrays: The cross-sectional model
MATHEMATICAL AND COMPUTER MODELLING, 40(1-2), 127–136.
author keywords: homogenization; LBIC; semiconductor arrays; inverse problem; parameter identification
TL;DR:
Based on a previous mathematical model for LBIC applied to individual devices, the homogenization method is employed to derive approximations of the LBIC images of large arrays to reduce the computational burden in simulations of these LBIC bouges.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2004 journal article
Low temperature saturation of p-n junction laser beam induced current signals
SOLID-STATE ELECTRONICS, 48(3), 409–414.
author keywords: laser beam induced current; LBIC; photodiode; non-destructive characterisation; temperature dependence
Source: Web Of Science
Added: August 6, 2018
2004 article
Reconstruction of magnetic charge densities using regularization of bounded variations under noisy observations
INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, Vol. 19, pp. 309–313.
author keywords: inverse problem; regularization; fast fourier transform
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2004 journal article
The primal-dual active set method for nonlinear optimal control problems with bilateral constraints
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 43(1), 357–376.
author keywords: primal-dual active set method; semismooth Newton method; optimal control; bilateral constraints
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Acoustic attenuation employing variable wall admittance
Directions in Mathematical Systems Theory and Optimization (Lecture Notes in Control and Information Sciences; 286), (2003), 15–26.
Ed(s): C. A. Rantzer
Source: NC State University Libraries
Added: August 6, 2018
2003 journal article
Identification of contact regions in semiconductor transistors by level-set methods
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 159(2), 399–410.
author keywords: inverse problem; level-set methods; semiconductor
TL;DR:
The Gauss-Newton direction is proposed as the interface velocity, and the scheme for a parameterized class of interfaces for the inverse problem of identifying an interface in the coefficient of an elliptic equation from a boundary measurement is proposed.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Semi-smooth Newton methods for state-constrained optimal control problems
SYSTEMS & CONTROL LETTERS, 50(3), 221–228.
author keywords: semi-smooth Newton methods; state-constrained optimal control; superlinear convergence; augmented Lagrangians
TL;DR:
Convergence of the regularized problems is proved and numerical tests confirm the theoretical results and demonstrate the efficiency of the proposed methodology.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Semi-smooth Newton methods for variational inequalities of the first kind
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 37(1), 41–62.
author keywords: semi-smooth Newton methods; contact problems; variational inequalities; bilateral constraints; superlinear convergence
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method
JOURNAL OF SCIENTIFIC COMPUTING, 19(1-3), 253–266.
author keywords: non-linear interface problem; magneto-rheological fluid; maximum principal preserving scheme; immersed interface method; level set method; substitution method
TL;DR:
A finite difference method based on Cartesian grids and the maximum principle preserving immersed interface method is proposed for the nonlinear elliptic interface problems discussed in this paper and is nearly second order accurate in the infinity norm.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2003 journal article
The primal-dual active set strategy as a semismooth Newton method
SIAM JOURNAL ON OPTIMIZATION, 13(3), 865–888.
author keywords: complementarity problems; function spaces; semismooth Newton method
TL;DR:
The notion of slant differentiability is recalled and it is argued that the $\max$-function is slantly differentiable in Lp-spaces when appropriately combined with a two-norm concept, which leads to new local convergence results of the primal-dual active set strategy.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Three-dimensional elliptic solvers for interface problems and applications
JOURNAL OF COMPUTATIONAL PHYSICS, 184(1), 215–243.
author keywords: 3D elliptic interface problem; irregular domain; discontinuous coefficient; discrete maximum preserving scheme; quadratic optimization; algebraic multigrid; shape identification; level set method
TL;DR:
Two second-order accurate elliptic solvers using Cartesian grids are presented for three-dimensional interface problems in which the coefficients, the source term, the solution and its normal flux may be discontinuous across an interface.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2002 journal article
A computational model for sound field absorption by acoustic arrays
Journal of Intelligent Material Systems and Structures, 13(4), 231–240.
Source: NC State University Libraries
Added: August 6, 2018
2002 article
An optimal control approach to optical flow computation
Borzi, A., Ito, K., & Kunisch, K. (2002, September 10). INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol. 40, pp. 231–240.
author keywords: optical flow; optimal control
TL;DR:
An optimal control approach for determining optical flow and a numerical algorithm that solves the optimality system consisting of hyperbolic and elliptic partial differential equations is presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Asymptotic properties of receding horizon optimal control problems
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 40(5), 1585–1610.
author keywords: receding horizon control; model prediction control; control Liapunov function; stabilizability; Liapunov equation
TL;DR:
The asymptotic behavior of receding horizon optimal control problems with terminal cost chosen as a control Liapunov function is analyzed for regulator as well as disturbance attenuation problems.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 book
Evolution equations and approximations
TL;DR:
Dissipative and maximal monotone operators linear semigroups analyticSemigroups approximation of C-0 semig groups nonlinear semiggroups of contractions locally quasi-dissipatives evolution equations the Crandall-Pazy class variational formulations and Gelfand triples applications to concrete systems approximation of solutions for evolution equations semilinear evolution equations.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2002 journal article
Nonhomogeneous initial-boundary value problems for nonlinear diffusion-convection equations
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 48(2), 303–322.
author keywords: nonlinear diffusion-convection equations; nonhomogeneous Dirichlet boundary conditions; weak solutions; absorbing sets; attractors
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Optimal control formulation for determining optical flow
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 24(3), 818–847.
author keywords: optical flow; optimal control; system of hyperbolic and elliptic partial differential equations; TVD scheme; multigrid method
TL;DR:
An optimal control formulation for determining optical flow does not require differentiation of the data and does combine optical flow with image reconstruction and a numerical algorithm that solves the optimality system consisting of hyperbolic and elliptic partial differential equations is presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Optimal control of the solid fuel ignition model with H-1-cost
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 40(5), 1455–1472.
author keywords: optimal control; control of exponential nonlinearity; explosion phenomena; optimality conditions
TL;DR:
Existence of optimal controls is proved, and optimality systems are derived based on a closedness lemma for the exponential function in L1 and a generalization of Aubin's lemma.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Parameter identification for semiconductor diodes by LBIC imaging
SIAM JOURNAL ON APPLIED MATHEMATICS, 62(6), 2149–2174.
author keywords: semiconductor diodes; LBIC; drift-diffusion; parameter identification; inverse problems; elliptic partial differential equations/systems; discontinuous coefficients
TL;DR:
A model is formulated for laser-beam-induced-current imaging using the standard drift-diffusion model, and an approximate version and its dual are derived for the study of the inverse problem.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Receding horizon optimal control for infinite dimensional systems
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 8, 741–760.
author keywords: receding horizon control; control Lyapunov function; Lyapunov equations; closed loop dissipative; minimum value function; Navier-Stokes equations
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2001 journal article
An electrochemistry model with nonlinear diffusion: steady-state solutions
IMA JOURNAL OF APPLIED MATHEMATICS, 66(2), 195–213.
author keywords: electrochemistry; integro-differential equations; nonlinear diffusion
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2001 article
Dynamic simulation of the temporal response of microstructure formation in magnetorheological fluids
Ly, H. V., Ito, K., Banks, H. T., Jolly, M. R., & Reitich, F. (2001, March 20). INTERNATIONAL JOURNAL OF MODERN PHYSICS B, Vol. 15, pp. 894–903.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Existence and uniqueness of steady-state solutions for an electrochemistry model
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 129(4), 1037–1040.
author keywords: electrochemistry; integro-differential equations
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Existence of solutions to the Hamilton-Jacobi-Bellman equation under quadratic growth conditions
JOURNAL OF DIFFERENTIAL EQUATIONS, 176(1), 1–28.
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Existence of stationary solutions to an energy drift-diffusion model for semiconductor devices
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 11(5), 827–840.
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
13. Climate Action
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Identification of some source densities of the distribution type
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 132(2), 295–308.
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Level-set function approach to an inverse interface problem
INVERSE PROBLEMS, 17(5), 1225–1242.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2001 journal article
Maximum principle preserving schemes for interface problems with discontinuous coefficients
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 23(1), 339–361.
author keywords: elliptic interface problems; finite difference methods; discontinuous coefficients; singular source term; discrete maximum principle; quadratic optimization; multigrid methods
TL;DR:
New finite difference methods using Cartesian grids are developed for elliptic interface problems with variable discontinuous coefficients, singular sources, and nonsmooth or even discontinuous solutions to satisfy the sign property of the discrete maximum principle using quadratic optimization techniques.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2001 journal article
Nonlinear exothermic contributions to radio-frequency bonding of adhesives
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(3), 357–386.
author keywords: radio-frequency electromagnetic bonding; nonlinear thermal processes; operator splitting; existence and uniqueness
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Reduced basis method for optimal control of unsteady viscous flows
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 15(2), 97–113.
author keywords: reduced order models; optimal control; unsteady viscous flows
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2001 article
Reduced order feedback synthesis for viscous incompressible flows
MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 173–192.
author keywords: flow control; compensator design; Navier-Stokes equations; reduced basis method; finite element method
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2001 article
The effective magnetic properties of magnetorheological fluids
MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 273–284.
author keywords: magnetorheological fluids; homogenization; effective properties
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2000 journal article
An approximation theory or strongly stabilizing solutions to the operator LQ Riccati equation
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 38(6), 1909–1937.
author keywords: linear quadratic control problem; algebraic Riccati equation on Hilbert space; dissipative systems; collocated actuators and sensors
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Approximation of the Kushner equation for nonlinear filtering
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 38(3), 893–915.
author keywords: Kushner equation; operator-splitting method
TL;DR:
A time integration method based on the operator splitting that relates to the operator-splitting method for the Zakai equation in nonlinear filtering problems is developed and analyzed.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 41(5-6), 591–616.
author keywords: optimality conditions for nonsmooth optimization problems; augmented Lagrangian techniques; bingham flow; image restoration; friction problem; optimal control
Source: Web Of Science
Added: August 6, 2018
2000 journal article
BV-type regularization methods for convoluted objects with edge, flat and grey scales
INVERSE PROBLEMS, 16(4), 909–928.
TL;DR:
An iterative algorithm for finding the restored object that minimizes the cost functional is developed and analysed and global convergence is proved.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Gaussian filters for nonlinear filtering problems
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 45(5), 910–927.
TL;DR:
The systematic formulation of Gaussian filters is presented and efficient and accurate numerical integration of the optimal filter is developed, and the new Gaussian sum filter has a nearly optimal performance.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Newton's method for class of weakly singular optimal control problems
SIAM JOURNAL ON OPTIMIZATION, 10(3), 896–916.
author keywords: Newton's method; optimal control; singular systems; 2-norm technique
TL;DR:
This work considers the case where neither the linearization of the equality constraint e characterizing the differential equation is surjective nor a second order sufficient optimality condition holds for the topology on which e is well defined.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Optimal control of elliptic variational inequalities
APPLIED MATHEMATICS AND OPTIMIZATION, 41(3), 343–364.
author keywords: optimal control; variational inequalities; augmented Lagrangians; Lagrange multipliers; active set methods; strict complementarity
Source: Web Of Science
Added: August 6, 2018
2000 article
Real-time thickness and compositional control of Ga1-xInxP growth using p-polarized reflectance
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS, Vol. 18, pp. 1190–1195.
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Weak solutions for diffusion-convection equations
APPLIED MATHEMATICS LETTERS, 13(3), 69–75.
author keywords: diffusion-convection equations; L-infinity bounds of weak solutions
TL;DR:
Weak solutions to diffusion-convection equations with less regular convective field and boundary data are shown to exist as limits of solutions to problems with mixed boundary conditions.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
1999 journal article
A high-order perturbation approach to profile reconstruction: I. Perfectly conducting gratings
INVERSE PROBLEMS, 15(4), 1067–1085.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1999 journal article
An active set strategy based on the augmented Lagrangian formulation for image restoration
RAIRO. Mathematical Modelling and Numerical Analysis, 33(1), 1–21.
TL;DR:
A Newton type method based on an active set strategy defined by means of the dual variables is developed and analyzed and numerical examples for blocky signals and images perturbed by very high noise are included.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
1999 journal article
Estimation of the effective permeability in magnetorheological fluids
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(11), 872–879.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Primal-dual strategy for constrained optimal control problems
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 37(4), 1176–1194.
author keywords: active set; augmented Lagrangian; primal-dual method; optimal control
Source: Web Of Science
Added: August 6, 2018
1999 article
Real-time optical control of Ga1-xInxP film growth by p-polarized reflectance
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A, Vol. 17, pp. 1300–1306.
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Simulations of particle dynamics in magnetorheological fluids
JOURNAL OF COMPUTATIONAL PHYSICS, 155(1), 160–177.
author keywords: particle dynamics; fast multipole method; MR fluids; effective permeability; response time scale
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1998 journal article
A reduced-order method for simulation and control of fluid flows
JOURNAL OF COMPUTATIONAL PHYSICS, 143(2), 403–425.
author keywords: reduced-basis method; reduced-order modeling; Navier-Stokes equations; finite element; optimal control
Source: Web Of Science
Added: August 6, 2018
1998 journal article
An approximation theory of solutions to operator Riccati equations for H(infinity) control
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 36(1), 82–99.
author keywords: H(infinity); approximations; partial differential equation; optimal control; infinite dimensional
Source: Web Of Science
Added: August 6, 2018
1998 journal article
Optimal control of thermally convected fluid flows
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 19(6), 1847–1869.
author keywords: flow control; temperature control; optimization; Navier-Stokes equations; finite element methods
TL;DR:
Numerical methods to solve the necessary condition of optimality for optimal control of stationary thermally convected fluid flows are developed and computational results are presented showing the feasibility of the proposed approach.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
1998 journal article
Real-time monitoring of steady-state pulsed chemical beam epitaxy by p-polarized reflectance
JOURNAL OF CRYSTAL GROWTH, 183(3), 323–337.
author keywords: p-polarized reflectance; surface kinetics; chemical beam epitaxy; real-time process monitoring
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1998 article
Real-time optical characterization of GaP heterostructures by p-polarized reflectance
Dietz, N., & Ito, K. (1998, February). THIN SOLID FILMS, Vol. 313, pp. 614–619.
author keywords: p-polarized reflectance spectroscopy; pulsed chemical beam epitaxy; reduced order kinetic model
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1998 journal article
The Trotter-Kato theorem and approximation of PDEs
MATHEMATICS OF COMPUTATION, 67(221), 21–44.
author keywords: semigroups of transformations; Trotter-Kato-theorems; numerical approximation of linear evolutionary equations
Source: Web Of Science
Added: August 6, 2018
1998 journal article
Viscous scalar conservation law with nonlinear flux feedback and global attractors
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 227(1), 271–299.
author keywords: viscous scalar conservation law; nonlinear boundary feedback; L-infinity estimates; absorbing sets; global attractors
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
1997 journal article
Estimation of the convection coefficient in elliptic equations
INVERSE PROBLEMS, 13(4), 995–1013.
Source: Web Of Science
Added: August 6, 2018
1997 journal article
Molecular layer epitaxy by real-time optical process monitoring
Applied Surface Science, 112(1997 Mar.), 38–47.
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
1997 journal article
On the inhomogeneous system of isentropic gas dynamics by the viscosity method
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 127, 261–280.
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1997 journal article
Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors
JOURNAL OF DIFFERENTIAL EQUATIONS, 133(2), 224–244.
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1997 journal article
Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 28(5), 947–963.
author keywords: hydrodynamic model for semiconductors; hyperbolic systems; viscosity method; compensated compactness
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
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