Works (108)

2020 journal article

How to obtain an accurate gradient for interface problems?

Journal of Computational Physics, 405, 109070.

By: F. Tong, W. Wang, X. Feng, J. Zhao & Z. Li

Source: ORCID
Added: November 1, 2019

2019 journal article

A direct method for accurate solution and gradient computations for elliptic interface problems

NUMERICAL ALGORITHMS, 80(3), 709–740.

By: X. Chen, X. Feng & Z. Li

Sources: Web Of Science, ORCID
Added: April 2, 2019

2019 article

A gradient recovery-based adaptive finite element method for convection-diffusion-reaction equations on surfaces

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING.

By: X. Xiao, X. Feng & Z. Li

Sources: Web Of Science, ORCID
Added: August 26, 2019

2019 journal article

An Augmented IB Method & Analysis for Elliptic BVP on Irregular Domains

An Augmented IB Method & Analysis for Elliptic BVP on Irregular Domains. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 119(1), 63–72.

By: Z. Li, B. Dong, F. Tong & W. Wang

Sources: Web Of Science, ORCID
Added: April 20, 2020

2019 journal article

Analysis of Network Structure of Urban Bike-Sharing System: A Case Study Based on Real-Time Data of a Public Bicycle System

SUSTAINABILITY, 11(19).

By: Y. Yao, Y. Zhang, L. Tian, N. Zhou, Z. Li & M. Wang

Sources: Web Of Science, ORCID
Added: November 18, 2019

2019 journal article

Numerical Validations of the Tangent Linear Model for the Lorenz Equations

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 120(1), 83–104.

By: T. Zhao, J. Zhang, Z. Li & Z. Zhang

Sources: Web Of Science, ORCID
Added: August 5, 2019

2019 journal article

Spatiotemporal characteristics of green travel: A classification study on a public bicycle system

JOURNAL OF CLEANER PRODUCTION, 238.

By: Y. Yao, X. Jiang & Z. Li

Sources: Web Of Science, ORCID
Added: October 14, 2019

2018 journal article

A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids

Computers & Fluids, 172, 549–563.

By: X. Chen, Z. Li & J. Álvarez

Sources: NC State University Libraries, ORCID
Added: October 19, 2018

2018 journal article

A high-order source removal finite element method for a class of elliptic interface problems

Applied Numerical Mathematics, 130, 112–130.

By: H. Ji, J. Chen & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2018 journal article

A least squares augmented immersed interface method for solving Navier–Stokes and Darcy coupling equations

Computers & Fluids, 167, 384–399.

By: Z. Li, M. Lai, X. Peng & Z. Zhang

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2018 journal article

Error analysis of the immersed interface method for Stokes equations with an interface

Applied Mathematics Letters, 83, 207–211.

By: R. Hu & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2018 book

Numerical solution of differential equations: Introduction to finite difference and finite element methods

New York: Cambridge University Press.

By: Z. Li, Q. Zhonghua & T. Tang

Source: NC State University Libraries
Added: August 6, 2018

2018 journal article

ON MULTISCALE ADI METHODS FOR PARABOLIC PDEs WITH A DISCONTINUOUS COEFFICIENT

MULTISCALE MODELING & SIMULATION, 16(4), 1623–1647.

By: Z. Li, X. Chen & Z. Zhang

Sources: NC State University Libraries, ORCID
Added: January 7, 2019

2017 journal article

A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems

Computers & Mathematics With Applications, 73(3), 404–418.

By: F. Qin, J. Chen, Z. Li & M. Cai

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

A uniformly stable nonconforming FEM based on weighted interior penalties for Darcy-Stokes-Brinkman equations

Numerical Mathematics: Theory, Methods and Applications, 10(1), 22–43.

By: P. Huang & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

Accurate gradient computations at interfaces using finite element methods

International Journal of Applied Mathematics and Computer Science, 27(3), 527–537.

By: F. Qin, Z. Wang, Z. Ma & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

Accurate solution and gradient computation for elliptic interface problems with variable coefficients

SIAM Journal on Numerical Analysis, 55(2), 570–597.

By: Z. Li, H. Ji & X. Chen

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

An augmented IIM & preconditioning technique for jump embedded boundary conditions

An augmented IIM & preconditioning technique for jump embedded boundary conditions. International Journal of Numerical Analysis and Modeling, 14(4-5), 712–729.

By: P. Angot & Z. Li

Source: NC State University Libraries
Added: August 6, 2018

2017 journal article

An augmented method for 4th order PDEs with discontinuous coefficients

Journal of Scientific Computing, 73(2-3), 968–979.

By: Z. Li & F. Qin

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

New conservative finite volume element schemes for the modified regularized long wave equation

Advances in Applied Mathematics & Mechanics, 9(2), 250–271.

By: J. Yan, M. Lai, Z. Li & Z. Zhang

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method

Journal of Scientific Computing, 75(3), 1500–1534.

By: S. Amat, Z. Li & J. Ruiz

Sources: Crossref, ORCID
Added: February 19, 2020

2016 journal article

A new augmented immersed finite element method without using SVD interpolations

Numerical Algorithms, 71(2), 395–416.

By: H. Ji, J. Chen & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 journal article

A sparse grid stochastic collocation method for elliptic interface problems with random input

Journal of Scientific Computing, 67(1), 262–280.

By: Q. Zhang, Z. Li & Z. Zhang

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 journal article

An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions

International Journal for Numerical Methods in Engineering, 106(7), 556–575.

By: Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 journal article

An augmented iim for helmholtz/poisson equations on irregular domains in complex space

International Journal of Numerical Analysis and Modeling, 13(1), 166–178.

By: S. Zhang & Z. Li

Source: NC State University Libraries
Added: August 6, 2018

2016 journal article

Augmented immersed finite element methods for some elliptic partial differential equations

International Journal of Computer Mathematics, 93(3), 540–558.

By: H. Ji, J. Chen & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 journal article

Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer

Interfaces and Free Boundaries, 18(1), 75–90.

By: Z. Li & H. Mikayelyan

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 journal article

Fourth-order compact schemes for Helmholtz equations with piecewise wave numbers in the polar coordinates

Journal of Computational Mathematics, 34(5), 499–510.

By: X. Su, X. Feng & Z. Li

Source: NC State University Libraries
Added: August 6, 2018

2016 journal article

Prioritization of pesticides based on daily dietary exposure potential as determined from the SHEDS model

Food and Chemical Toxicology, 96, 167–173.

By: L. Melnyk, Z. Wang, Z. Li & J. Xue

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 journal article

The immersed finite volume element method for some interface problems with nonhomogeneous jump conditions

International Journal of Numerical Analysis and Modeling, 13(3), 368–382.

By: L. Zhu, Z. Zhang & Z. Li

Source: NC State University Libraries
Added: August 6, 2018

2015 journal article

A parallel Robin-Robin domain decomposition method for H(div)-elliptic problems

International Journal of Computer Mathematics, 92(2), 394–410.

By: Y. Zeng, J. Chen & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions

Journal of Computational Physics, 297, 182–193.

By: Z. Li, L. Xiao, Q. Cai, H. Zhao & R. Luo

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions

Computers & Mathematics With Applications, 70(2), 89–103.

By: L. Zhu, Z. Zhang & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

Effective matrix-free preconditioning for the augmented immersed interface method

Journal of Computational Physics, 303, 295–312.

By: J. Xia, Z. Li & X. Ye

Sources: NC State University Libraries, ORCID
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.

By: Q. Zhang, K. Ito, Z. Li & Z. Zhang

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

Some new analysis results for a class of interface problems

Mathematical Methods in the Applied Sciences, 38(18), 4530–4539.

By: Z. Li, L. Wang, E. Aspinwall, R. Cooper, P. Kuberry, A. Sanders, K. Zeng

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow

Applied Mathematics and Computation, 264, 179–197.

By: J. Alvarez & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2014 journal article

A coupled immersed interface and level set method for three-dimensional interfacial flows with insoluble surfactant

Communications in Computational Physics, 15(2), 451–469.

By: J. Xu, Y. Huang, M. Lai & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2014 journal article

A symmetric and consistent immersed finite element method for interface problems

Journal of Scientific Computing, 61(3), 533–557.

By: H. Ji, J. Chen & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2014 journal article

Special issue on fluid structure interactions preface

Numerical Mathematics: Theory, Methods and Applications, 7(4), I-.

By: Z. Li

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere

Applied Numerical Mathematics, 71, 1–13.

By: Q. Wang, Z. Zhang & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2013 journal article

Adaptive mesh refinement techniques for the immersed interface method applied to flow problems

Computers and Structures, 122, 249–258.

By: Z. Li & P. Song

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2013 journal article

Exploring a charge-central strategy in the solution of Poisson's equation for biomolecular applications

Physical Chemistry Chemical Physics, 15(1), 129–141.

By: X. Liu, C. Wang, J. Wang, Z. Li, H. Zhao & R. Luo

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2013 journal article

Exploring accurate Poisson-Boltzmann methods for biomolecular simulations

Computational and Theoretical Chemistry, 1024, 34–44.

By: C. Wang, J. Wang, Q. Cai, Z. Li, H. Zhao & R. Luo

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2013 journal article

Numerical Poisson-Boltzmann model for continuum membrane systems

Chemical Physics Letters, 555, 274–281.

By: W. Botello-Smith, X. Liu, Q. Cai, Z. Li, H. Zhao & R. Luo

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2013 journal article

Simulation of longitudinal exposure data with variance-covariance structures based on mixed models

Risk Analysis, 33(3), 469–479.

By: P. Song, J. Xue & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

A numerical method for solving elasticity equations with interfaces

Communications in Computational Physics, 12(2), 595–612.

By: S. Hou, Z. Li, L. Wang & W. Wang

Sources: NC State University Libraries, ORCID
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.

By: Z. Li & P. Song

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

An augmented immersed interface method for moving structures with mass

Discrete and Continuous Dynamical Systems-Series B, 17(4), 1175–1184.

By: J. Ho, Z. Li & S. Lubkin

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

Numerical solutions of the system of singular integro-differential equations in classical holder spaces

Advances in Applied Mathematics & Mechanics, 4(6), 737–750.

By: I. Caraus & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

Some new finite difference methods for Helmholtz equations on irregular domains or with interfaces

Discrete and Continuous Dynamical Systems-Series B, 17(4), 1155–1174.

By: X. Wan & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

Special issue on fluid motion driven by immersed structures preface

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

By: A. Layton, J. Stockie, Z. Li & H. Huang

Source: NC State University Libraries
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 & Mechanics, 4(1), 21–35.

By: K. Ito, Z. Li & Z. Qiao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2011 journal article

A finite element method for elasticity interface problems with locally modified triangulations

International Journal of Numerical Analysis and Modeling, 8(2), 189–200.

By: H. Xie, Z. Li & Z. Qiao

Source: NC State University Libraries
Added: August 6, 2018

2011 journal article

Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method

International Journal of Numerical Analysis and Modeling, 8(3), 466–483.

By: C. Wu, Z. Li & M. Lai

Source: NC State University Libraries
Added: August 6, 2018

2011 journal article

High order compact finite difference schemes for the helmholtz equation with discontinuous coefficients

Journal of Computational Mathematics, 29(3), 324–340.

By: X. Feng, Z. Li & Z. Qiao

Source: NC State University Libraries
Added: August 6, 2018

2011 journal article

Numerical study of surfactant-laden drop-drop interactions

Communications in Computational Physics, 10(2), 453–473.

By: J. Xu, Z. Li, J. Lowengrub & H. Zhao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2011 journal article

The IIM in polar coordinates and its application to electro capacitance tomography problems

Numerical Algorithms, 57(3), 405–423.

By: J. Alvarez, J. Chen & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2010 journal article

An augmented method for free boundary problems with moving contact lines

Computers & Fluids, 39(6), 1033–1040.

By: Z. Li, M. Lai, G. He & H. Zhao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2010 journal article

Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions

Numerical Mathematics: Theory, Methods and Applications, 3(1), 23–39.

By: Y. Gong & Z. Li

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations

Journal of Computational Physics, 228(20), 7821–7836.

By: X. Yang, X. Zhang, Z. Li & G. He

Sources: NC State University Libraries, ORCID
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.

By: K. Ito, M. Lai & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 journal article

Achieving energy conservation in Poisson-Boltzmann molecular dynamics: Accuracy and precision with finite-difference algorithms

Chemical Physics Letters, 468(4-6), 112–118.

By: J. Wang, Q. Cai, Z. Li, H. Zhao & R. Luo

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 journal article

An additive Schwarz preconditioner for the mortar-type rotated Q(1) FEM for elliptic problems with discontinuous coefficients

Applied Numerical Mathematics, 59(7), 1657–1667.

By: F. Wang, J. Chen, W. Xu & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 conference paper

Analysis and computation for a fluid mixture model

Communications in Computational Physics, 5(2-4), 620–634.

By: Q. Jiang, Z. Li & S. Lubkin

Source: NC State University Libraries
Added: August 6, 2018

2009 book

Interface problems and methods in biological and physical flows

New Jersey: World Scientific.

Source: NC State University Libraries
Added: August 6, 2018

2008 journal article

A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow

Advances in Computational Mathematics, 29(2), 113–133.

By: G. Chen, Z. Li & P. Lin

Sources: NC State University Libraries, ORCID
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.

By: H. Xie, K. Ito, Z. Li & J. Toivanen

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2008 journal article

An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces

Computer Methods in Applied Mechanics and Engineering, 197(25-28), 2317–2328.

By: V. Rutka & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2008 journal article

An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane

Journal of Computational Physics, 227(23), 9955–9983.

By: Z. Tan, D. Le, Z. Li, K. Lim & B. Khoo

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2008 journal article

Mechanics of mesenchymal contribution to clefting force in branching morphogenesis

Biomechanics and Modeling in Mechanobiology, 7(5), 417–426.

By: X. Wan, Z. Li & S. Lubkin

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations

Journal of Scientific Computing, 30(1), 61–81.

By: Z. Li, C. Pao & Z. Qiao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

A study of numerical methods for the level set approach

Applied Numerical Mathematics, 57(5-7), 837–846.

By: P. Gremaud, C. Kuster & Z. Li

Sources: NC State University Libraries, ORCID
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.

By: Z. Li, K. Ito & M. Lai

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

Immersed-interface finite-element methods for elliptic interface problems with nonhomogeneous jump conditions

SIAM Journal on Numerical Analysis, 46(1), 472–495.

By: Y. Gong, B. Li & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

Preface of the special issue of APNUM - International Conference on Scientific Computing in Nanjing, China

Applied Numerical Mathematics, 57(5-7), 473–474.

By: Z. Li, Y. Song & T. Tang

Sources: NC State University Libraries, ORCID
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.

By: Z. Li, X. Wan, K. Ito & S. Lubkin

Source: NC State University Libraries
Added: August 6, 2018

2006 journal article

Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain

Journal of Computational and Applied Mathematics, 191(1), 106–125.

By: M. Lai, Z. Li & X. Lin

Sources: NC State University Libraries, ORCID
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.

By: K. Ito & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2006 book

The immersed interface method: Numerical solutions of PDEs involving interfaces and irregular domains

By: Z. Li & K. Ito

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2005 journal article

A level-set method for interfacial flows with surfactant

Journal of Computational Physics, 212(2), 590–616.

By: J. Xu, Z. Li, J. Lowengrub & H. Zhao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2005 chapter

Augmented strategies for interface and irregular domain problems

In Numerical analysis and its applications: Third international conference, NAA 2004, Rousse, Bulgaria, June 29-July 3, 2004: Revised selected papers (Lecture notes in computer science ; 3401) (Vol. 3401, pp. 66–79). Berlin; New York: Springer.

By: Z. Li

Source: NC State University Libraries
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.

By: K. Ito, Z. Li & Y. Kyei

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2004 journal article

An immersed finite element space and its approximation capability

Numerical Methods for Partial Differential Equations, 20(3), 338–367.

By: Z. Li, T. Lin, Y. Lin & R. Rogers

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2004 journal article

Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials

Differential Equations, 40(12), 1764–1769.

By: V. Zolotarevskii, Z. Li & I. Caraush

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2003 journal article

An overview of the immersed interface method and its applications

Taiwanese Journal of Mathematics, 7(1), 1–49.

By: Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2003 journal article

New Cartesian grid methods for interface problems using the finite element formulation

Numerische Mathematik, 96(1), 61–98.

By: Z. Li, T. Lin & X. Wu

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2003 journal article

New formulations for interface problems in polar coordinates

SIAM Journal on Scientific Computing, 25(1), 224–245.

By: Z. Li, W. Wang, I. Chern & M. Lai

Sources: NC State University Libraries, ORCID
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(03-Jan), 253–266.

By: K. Ito & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2003 journal article

The immersed interface method for elasticity problems with interfaces

Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis, 10(5), 783–808.

By: X. Yang, B. Li & Z. Li

Source: NC State University Libraries
Added: August 6, 2018

2003 journal article

Three-dimensional elliptic solvers for interface problems and applications

Journal of Computational Physics, 184(1), 215–243.

By: S. Deng, K. Ito & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2002 journal article

Force and deformation on branching rudiments: Cleaving between hypotheses

Biomechanics and Modeling in Mechanobiology, 1(1), 5–16.

By: S. Lubkin & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2002 journal article

Reactive autophobic spreading of drops

Journal of Computational Physics, 183(2), 335–366.

By: J. Hunter, Z. Li & H. Zhao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2002 journal article

The immersed interface/multigrid methods for interface problems

SIAM Journal on Scientific Computing, 24(2), 463–479.

By: L. Adams & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2001 chapter

A level set-boundary element method for simulation of dynamic powder consolidation of metals

In Numerical analysis and its applications: Second international conference, NAA 2000, Rousse, Bulgaria, June 11-15, 2000: Revised papers (Vol. 1988, pp. 527–534). Berlin; New York: Springer.

By: Z. Li & W. Cai

Source: NC State University Libraries
Added: August 6, 2018

2001 journal article

A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane

Applied Mathematics Letters, 14(2), 149–154.

By: M. Lai & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2001 journal article

Level-set function approach to an inverse interface problem

Inverse Problems, 17(5), 1225–1242.

By: K. Ito, K. Kunisch & Z. Li

Sources: NC State University Libraries, ORCID
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.

By: Z. Li & K. Ito

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2001 journal article

Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension

International Journal for Numerical Methods in Fluids, 37(5), 525–540.

By: Z. Li & S. Lubkin

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2001 journal article

The immersed interface method for the Navier-Stokes equations with singular forces

Journal of Computational Physics, 171(2), 822–842.

By: Z. Li & M. Lai

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 journal article

A numerical study of electro-migration voiding by evolving level set functions on a fixed cartesian grid

Journal of Computational Physics, 152(1), 281–304.

By: Z. Li, H. Zhao & H. Gao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 journal article

Convergence analysis of the immersed interface method

IMA Journal of Numerical Analysis, 19(4), 583–608.

By: H. Huang & Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 journal article

Crack jump conditions for elliptic problems

Applied Mathematics Letters, 12(6), 81–88.

By: A. Wiegmann, Z. Li & R. Leveque

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 journal article

Fast and accurate numerical approaches for Stefan problems and crystal growth

Numerical Heat Transfer. Part B, Fundamentals, 35(4), 461–484.

By: Z. Li & B. Soni

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 journal article

The immersed finite volume element methods for the elliptic interface problems

Mathematics and Computers in Simulation, 50(1-4), 63–76.

By: R. Ewing, Z. Li, T. Lin & Y. Lin

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 journal article

Types of reductive monoids

Journal of Algebra, 221(1), 102–116.

By: Z. Li & M. Putcha

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1998 journal article

A fast iterative algorithm for elliptic interface problems

SIAM Journal on Numerical Analysis, 35(1), 230–254.

By: Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1998 journal article

The immersed interface method using a finite element formulation

Applied Numerical Mathematics, 27(3), 253–267.

By: Z. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018