Displaying works **41 - 53** of **53** in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2012 article

A mathematical biography of Danny C. Sorensen Preface

Benner, P., Embree, M., Lehoucq, R. B., & Kelley, C. T. (2012, April 15). *LINEAR ALGEBRA AND ITS APPLICATIONS*, Vol. 436, pp. 2717–2724.

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

Special issue on fluid motion driven by immersed structures preface

*Communications in Computational Physics*, *12*(2), I-.

Source: NC State University Libraries

Added: August 6, 2018

2012 journal article

An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods

*COMMUNICATIONS IN COMPUTATIONAL PHYSICS*, *12*(2), 515–527.

author keywords: Adaptive mesh refinement; immersed boundary method; immersed interface method; elliptic interface problem; Cartesian grid method; level set representation; singular sources

TL;DR:
An adaptive mesh refinement strategy is proposed for the Immersed Boundary and Immersed Interface methods for two-dimensional elliptic interface problems involving singular sources by distributing the mesh more economically, therefore, reduce the size of the linear system of the equations.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

A Numerical Method for Solving Elasticity Equations with Interfaces

*COMMUNICATIONS IN COMPUTATIONAL PHYSICS*, *12*(2), 595–612.

author keywords: Elasticity equations; non-body fitted mesh; finite element method; jump condition

TL;DR:
An efficient non-traditional finite element method with non-body-fitting grids is proposed to solve elasticity equations with interfaces to choose the test function basis to be the standard finite element basis independent of the interface and the solution based to be piecewise linear satisfying the jump conditions across the interface.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

A Monte Carlo based analysis of optimal design criteria

*JOURNAL OF INVERSE AND ILL-POSED PROBLEMS*, *20*(1), 1–37.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2012 article

Sliding Mode Control Design for Hysteretic Ferroelectric Materials

*BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2012*, Vol. 8342.

author keywords: smart systems; hysteresis; sliding mode control; variable structure control; inverse control

TL;DR:
A recently developed modification to the homogenized energy model for ferroelectric materials is used with a sliding mode control design to track a reference trajectory even in the presence of modeling and inversion errors.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 article

Modeling and Bayesian Parameter Estimation for Shape Memory Alloy Bending Actuators

*BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2012*, Vol. 8342.

author keywords: shape memory alloys; uncertainty quantificiation; markov chain monte carlo

TL;DR:
A homogenized energy model for shape memory alloy (SMA) bending actuators is employed and the Random Walk Metropolis algorithm, the MCMC method used here, is tested to test the feasibility.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

7. Affordable and Clean Energy
(OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 article

Data-driven techniques to estimate parameters in a rate-dependent ferromagnetic hysteresis model

Hu, Z., Smith, R. C., & Ernstberger, J. M. (2012, May 1). *PHYSICA B-CONDENSED MATTER*, Vol. 407, pp. 1394–1398.

author keywords: Hysteresis; Ferromagnetic materials; Data-driven estimation techniques

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

A zero-sum electromagnetic evader-interrogator differential game with uncertainty

*APPLICABLE ANALYSIS*, *91*(4), 645–674.

Source: Web Of Science

Added: August 6, 2018

2012 journal article

ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX

*KINETIC AND RELATED MODELS*, *5*(1), 51–95.

Contributors: A. Chertock^{*} , A. Kurganov, X. Wang & Y. Wu

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, ORCID, NC State University Libraries

Added: August 6, 2018

2012 journal article

INTEGRATION OF THE EPDIFF EQUATION BY PARTICLE METHODS

*ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE*, *46*(3), 515–534.

Contributors: A. Chertock^{ n} , P. Du Toit^{*} & J. Marsden^{*}

UN Sustainable Development Goal Categories

14. Life Below Water
(Web of Science)

15. Life on Land
(OpenAlex)

Sources: Web Of Science, ORCID, NC State University Libraries

Added: August 6, 2018

2012 journal article

CONVERGENCE OF A PARTICLE METHOD AND GLOBAL WEAK SOLUTIONS OF A FAMILY OF EVOLUTIONARY PDES

*SIAM JOURNAL ON NUMERICAL ANALYSIS*, *50*(1), 1–21.

Contributors: A. Chertock^{ n} , J. Liu & T. Pendleton^{*}

author keywords: Camassa-Holm equation; Degasperis-Procesi equation; Euler-Poincare equation; global weak solution; particle method; space-time BV estimates; peakon solutions; conservation laws; completely integrable systems

TL;DR:
From this result, the existence of a unique global weak solution in some special cases is proved and stronger regularity properties of the solution are obtained than previously established.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

14. Life Below Water
(Web of Science)

Sources: Web Of Science, ORCID, NC State University Libraries

Added: August 6, 2018

2012 journal article

A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell’s equations

*Journal of Computational Physics*, *231*(2), 558–585.

author keywords: Propagation of unsteady electromagnetic waves; The Huygens' principle; Aft fronts; Accumulation of charge; Electrostatic field; Numerical solution; Long-time computations; Artificial boundary conditions (ABCs); Perfectly matched layers (PMLs); Uniform error bound

TL;DR:
This work proposes a universal algorithm that relies on the Huygens' principle in the generalized form, when a non-zero electrostatic solution can be present behind aft fronts of the propagating waves, i.e., inside the lacunae of Maxwell's equations.
(via Semantic Scholar)

Sources: Web Of Science, ORCID, Crossref

Added: August 6, 2018

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