Zhilin Li

发表

A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources

R. LeVeque, D. Chopp, Zhilin Li, 2006 .

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

Zhilin Li, M. Lai, 2001 .

The immersed interface method using a finite element formulation

Zhilin Li, 1998 .

The immersed finite volume element methods for the elliptic interface problems

Zhilin Li, T. Lin, Yanping Lin, 1999 .

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

Tao Lin, Zhilin Li, Xiaohui Wu, 2003, Numerische Mathematik.

A Fast Iterative Algorithm for Elliptic Interface Problems

Zhilin Li, 1998 .

Fast and accurate numerical approaches for Stefan problems and crystal growth

Zhilin Li, B. Soni, 1999 .

The immersed interface method: a numerical approach for partial differential equations with interfaces

Zhilin Li, 1995 .

A note on immersed interface method for three-dimensional elliptic equations

Zhilin Li, Z. Li, 1996 .

Theoretical and numerical analysis on a thermo-elastic system with discontinuities

Zhilin Li, J. Zou, Deshen Wang, 1998 .

Short Communication: A numerical method for diffusive transport with moving boundaries and discontinuous material properties

Zhilin Li, D. Mctigue, Jan T. Heine, 1997 .

Convergence analysis of the immersed interface method

Zhilin Li, Huaxiong Huang, 1999 .

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

Zhilin Li, Xiaohong Chen, J. R. Álvarez, 2018, Computers & Fluids.

Reactive autophobic spreading of drops

J. K. Hunter, J. Hunter, Hongkai Zhao, 2002 .

Numerical Solution of Differential Equations: Introduction to Finite Difference and Finite Element Methods

Zhonghua Qiao, Tao Tang, Zhilin Li, 2017 .

Applications of Sharp Interface Method for Flow Dynamics, Scattering and Control Problems

K. Ito, Zhilin Li, 2012 .

An additive Schwarz preconditioner for the mortar-type rotated Q1 FEM for elliptic problems with discontinuous coefficients

Zhilin Li, Wei Xu, Feng Wang, 2009 .

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

Zhilin Li, Zhilin Li, Y. Gong, 2009 .

An augmented method for free boundary problems with moving contact lines

Hongkai Zhao, Zhilin Li, M. Lai, 2010 .

High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients

Zhonghua Qiao, Xiufang Feng, Zhilin Li, 2011 .

The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number.

K. Ito, Zhilin Li, Zhonghua Qiao, 2012, Advances in applied mathematics and mechanics.

Level-set function approach to an inverse interface problem

K. Kunisch, K. Ito, Zhilin Li, 2001 .

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

Zhilin Li, Xinlong Feng, Xufeng Xiao, 2019, International Journal for Numerical Methods in Engineering.

A Multi-Scale Method for Dynamics Simulation in Continuum Solvent Models I: Finite-Difference Algorithm for Navier-Stokes Equation.

Hongkai Zhao, Zhilin Li, R. Luo, 2014, Chemical physics letters.

SOME NEW FINITE DIFFERENCE METHODS FOR HELMHOLTZ EQUATIONS ON IRREGULAR DOMAINS OR WITH INTERFACES.

Zhilin Li, Xiaohai Wan, 2012, Discrete and continuous dynamical systems. Series B.

AN AUGMENTED IIM-LEVEL SET METHOD FOR STOKES EQUATIONS WITH DISCONTINUOUS VISCOSITY

Zhilin Li, Xiaohai Wan, S. Lubkin, 2007 .

An augmented approach for Stokes equations with a discontinuous viscosity and singular forces

K. Ito, Zhilin Li, M. Lai, 2007 .

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

Zhilin Li, M. Lai, Xiaobiao Lin, 2006 .

An Immersed Finite Element Method for Elasticity Equations with Interfaces

Zhilin Li, Xingzhou Yang, 2005 .

AN OVERVIEW OF THE IMMERSED INTERFACE METHOD AND ITS APPLICATIONS

Zhilin Li, 2003 .

Simplified immersed interface methods for elliptic interface problems with straight interfaces

Zhilin Li, Xiufang Feng, 2012 .

New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

Zhiyue Zhang, Zhilin Li, M. Lai, 2017 .

Numerical Poisson-Boltzmann Model for Continuum Membrane Systems.

Ray Luo, Hongkai Zhao, Qin Cai, 2013, Chemical physics letters.

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

Ray Luo, Hongkai Zhao, Jun Wang, 2013, Physical chemistry chemical physics : PCCP.

High Order Compact Finite Difference Schemes For Helmholtz Equation With discontinuous coefficient

Zhilin Li, Xiufang Feng, 2009 .

N A ] 1 M ar 2 01 7 Accurate gradient computations at interfaces using finite element methods

Zhilin Li, F. Qin, Zhaohui Wang, 2018 .

A Uniformly Stable Nonconforming FEM Based on Weighted Interior Penalties for Darcy-Stokes-Brinkman Equations

Zhilin Li, Peiqi Huang, 2017 .

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

Zhiyue Zhang, Zhilin Li, M. Lai, 2018 .

Numerical Validations of the Tangent Linear Model for the Lorenz Equations

Zhiyue Zhang, Zhilin Li, Tengjin Zhao, 2019, Computer Modeling in Engineering & Sciences.

Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates

Zhilin Li, Xiufang Feng, Xiaolu Su, 2016 .

A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant

Yunqing Huang, Zhilin Li, M. Lai, 2014 .

A simple area preservation correction to Stokes flows with moving interfaces

Zhilin Li, 2008 .

Numerical Study of Surfactant-Laden Drop-Drop 2 Interactions 3

Hongkai Zhao, Zhilin Li, J. Lowengrub, 2011 .

An Iterative Approach for Constructing Immersed Finite Element Spaces and Applications to Interface Problems

Cheng Wang, Pengtao Sun, Zhilin Li, 2018 .

High order two-grid finite difference methods for interface and internal layer problems

K. Pan, Zhilin Li, J. Ruiz, 2022, ArXiv.

Level-set function approach to an inverse interface problem

K. Kunisch, K. Ito, Zhilin Li, 2001 .

An immersed CR-P0 element for Stokes interface problems and the optimal convergence analysis

Zhilin Li, Feng Wang, Jinru Chen, 2021, Computer Methods in Applied Mechanics and Engineering.

Proceedings of the Third international conference on Numerical Analysis and its Applications

Lubin G. Vulkov, Zhilin Li, Jerzy Waśniewski, 2004 .

Accurate integration rules for functions with singularities

J. C. Trillo, Zhilin Li, S. Amat, 2022 .

Numerical integration rules with improved accuracy close to singularities

J. C. Trillo, Zhilin Li, J. R. Álvarez, 2022, ArXiv.

Convergence study of IB methods for Stokes equations with no-slip boundary conditions

K. Pan, Zhilin Li, Juan Ruiz-Álvarez, 2021, 2108.06630.

A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh.

Zhilin Li, S. Lubkin, Zhaohui Wang, 2014, Numerical mathematics.

Some new analysis results for a class of interface problems

Zhilin Li, P. Kuberry, Li Wang, 2015, Mathematical methods in the applied sciences.

AN AUGMENTED IMMERSED INTERFACE METHOD FOR MOVING STRUCTURES WITH MASS.

Zhilin Li, J. Hao, S. Lubkin, 2012, Discrete and continuous dynamical systems. Series B.

Analysis and Computation for a Fluid Mixture Model

Zhilin Li, S. Lubkin, Q. Jiang, 2008 .

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

Zhilin Li, Weilong Wang, Fenghua Tong, 2019, Computer Modeling in Engineering & Sciences.

Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces

Zhilin Li, I. Caraus, 2012 .

An Augmented Method for 4th Order PDEs with Discontinuous Coefficients

Zhilin Li, Fangfang Qin, 2017, Journal of Scientific Computing.

A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals

Wei Cai, Zhilin Li, Zhilin Li, 2000, NAA.

Mechanics of mesenchymal contribution to clefting force in branching morphogenesis

Xiaohai Wan, Zhilin Li, Zhilin Li, 2008, Biomechanics and modeling in mechanobiology.

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

Zhilin Li, Peng Song, Zhilin Li, 2013, Computers & structures.

An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods.

Zhilin Li, Peng Song, Zhilin Li, 2012, Communications in computational physics.

A study of numerical methods for the level set approach

Christopher M. Kuster, Zhilin Li, Pierre A. Gremaud, 2007 .

Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension

Randall J. LeVeque, Zhilin Li, R. LeVeque, 1997, SIAM J. Sci. Comput..

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

Xiaolei Yang, Zhilin Li, Xing Zhang, 2009, J. Comput. Phys..

A Symmetric and Consistent Immersed Finite Element Method for Interface Problems

Zhilin Li, Haifeng Ji, Jinru Chen, 2014, J. Sci. Comput..

A level-set method for interfacial flows with surfactant

Zhilin Li, Hongkai Zhao, Jian-Jun Xu, 2006, J. Comput. Phys..

An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection–diffusion problems

K. Pan, Zhilin Li, Y. Ge, 2023, Computer Methods in Applied Mechanics and Engineering.

A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients

Kejia Pan, Xiaoxin Wu, Hongling Hu, 2022, J. Comput. Phys..

Higher-Order, Cartesian Grid Based Finite Difference Schemes for Elliptic Equations on Irregular Domains

Kazufumi Ito, Zhilin Li, Yaw Kyei, 2005, SIAM J. Sci. Comput..

A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow

Stanley Osher, Thomas Y. Hou, Zhilin Li, 1997 .

An Augmented Method for 4th Order PDEs with Discontinuous Coefficients

Zhilin Li, Fangfang Qin, Zhilin Li, 2017, J. Sci. Comput..

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

Zhilin Li, Ping Lin, Guo Chen, 2008, Adv. Comput. Math..

Augmented Strategies for Interface and Irregular Domain Problems

Zhilin Li, Zhilin Li, 2004, NAA.

Exploring accurate Poisson-Boltzmann methods for biomolecular simulations.

Ray Luo, Qin Cai, Jun Wang, 2013, Computational & theoretical chemistry.

Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions

Bo Li, Zhilin Li, Yan Gong, 2007, SIAM J. Numer. Anal..

The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains (Frontiers in Applied Mathematics)

Zhilin Li, Kazufumi Ito, K. Ito, 2006 .

A Numerical Study of Electro-migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid

Huajian Gao, Hongkai Zhao, Zhilin Li, 1999 .

AN AUGMENTED IIM & PRECONDITIONING TECHNIQUE FOR JUMP EMBEDDED BOUNDARY CONDITIONS

Zhilin Li, P. Angot, 2017 .

A FINITE ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS WITH LOCALLY MODIFIED TRIANGULATIONS.

Hui Xie, Zhonghua Qiao, Zhilin Li, 2011, International journal of numerical analysis and modeling.

A High Order Compact FD Framework for Elliptic BVPs Involving Singular Sources, Interfaces, and Irregular Domains

Kejia Pan, Dongdong He, Zhilin Li, 2021, Journal of Scientific Computing.

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

Zhilin Li, Xiaohong Chen, Xiufang Feng, 2019, Numerical Algorithms.

Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients

Xiaohong Chen, Zhilin Li, Haifeng Ji, 2017, SIAM J. Numer. Anal..

Can 4th-order compact schemes exist for flux type BCs? pdf

Kejia Pan, Zhilin Li, K. Pan, 2021, ArXiv.

A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains

Kazufumi Ito, Zhilin Li, Ming-Chih Lai, 2009, J. Comput. Phys..

Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients

Kazufumi Ito, Zhilin Li, K. Ito, 2001, SIAM J. Sci. Comput..

Accurate gradient computations at interfaces using finite element methods

Zhilin Li, Zhaohui Wang, Fangfang Qin, 2017, Int. J. Appl. Math. Comput. Sci..

An ADI-Yee's scheme for Maxwell's equations with discontinuous coefficients

Kejia Pan, Shaozhong Deng, Zhilin Li, 2021, J. Comput. Phys..

An FE-FD Method for Anisotropic Elliptic Interface Problems

Xiufang Feng, Zhilin Li, Baiying Dong, 2020, SIAM J. Sci. Comput..

High Order Compact Schemes for Flux Type BCs

K. Pan, Zhilin Li, 2021, SIAM J. Sci. Comput..

The local tangential lifting method for moving interface problems on surfaces with applications

Xinlong Feng, Xufeng Xiao, Zhilin Li, 2021, J. Comput. Phys..

A Finite Difference Method and Analysis for 2D Nonlinear Poisson–Boltzmann Equations

Zhonghua Qiao, Zhilin Li, C. V. Pao, 2007, J. Sci. Comput..

Three-dimensional elliptic solvers for interface problems and applications

Kazufumi Ito, Shaozhong Deng, Zhilin Li, 2003 .

Moving interface problems and applications in fluid dynamics : program on moving interface problems and applications in fluid dynamics, January 8-March 31, 2007, Institute for Mathematical Sciences, National University of Singapore

Zhilin Li, B. Khoo, P. Lin, 2008 .

Numerical Study of Surfactant-Laden Drop-Drop Interactions

Hongkai Zhao, Jian-Jun Xu, John Lowengrub, 2011 .

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

Zhilin Li, Jinru Chen, Yuping Zeng, 2015, Int. J. Comput. Math..

Solving a Nonlinear Problem in Magneto-Rheological Fluids Using the Immersed Interface Method

Kazufumi Ito, Zhilin Li, Zhilin Li, 2003, J. Sci. Comput..

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

Zhilin Li, Boo Cheong Khoo, Kian Meng Lim, 2008, J. Comput. Phys..

Augmented immersed finite element methods for some elliptic partial differential equations

Zhilin Li, Haifeng Ji, Jinru Chen, 2016, Int. J. Comput. Math..

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

Ray Luo, Hongkai Zhao, Zhilin Li, 2015, J. Comput. Phys..

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

Ling Zhu, Zhilin Li, Zhiyue Zhang, 2015, Comput. Math. Appl..

A Numerical Method for Solving Elasticity Equations with Interfaces.

Wei Wang, Songming Hou, Liqun Wang, 2012, Communications in computational physics.

Correction to the article ``A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources'' by Vaughan et al.

Randall J. LeVeque, J. Thomas Beale, David L. Chopp, 2008 .

The Immersed Interface/Multigrid Methods for Interface Problems

Zhilin Li, Loyce Adams, L. Adams, 2002, SIAM J. Sci. Comput..

A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems with Random Input

Zhiyue Zhang, Zhilin Li, Q. Zhang, 2015, Journal of Scientific Computing.

Immersed finite elements for optimal control problems of elliptic PDEs with interfaces

Qian Zhang, Kazufumi Ito, Zhilin Li, 2015, J. Comput. Phys..

An immersed finite element space and its approximation capability

Zhilin Li, T. Lin, Z. Li, 2004 .

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

Zhilin Li, Jinru Chen, Juan Ruiz Álvarez, 2011, Numerical Algorithms.

Force and deformation on branching rudiments: cleaving between hypotheses

Z Li, Zhilin Li, S. Lubkin, 2002, Biomechanics and modeling in mechanobiology.

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

Haifeng Ji, Zhilin Li, Jinru Chen, 2018, Applied Numerical Mathematics.

Non-parallel hyperplanes ordinal regression machine

Zhilin Li, Haitao Jiang, Zhixia Yang, 2021, Knowl. Based Syst..

A simple third order compact finite element method for 1D BVP pdf

Baiying Dong, Zhilin Li, Zhilin Li, 2021, ArXiv.

A new augmented immersed finite element method without using SVD interpolations

Zhilin Li, Jinru Chen, Haifeng Ji, 2016, Numerical Algorithms.

Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses

Zhilin Li, Xinyu Pan, Guoping Chen, 2022, AIMS Mathematics.

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

Zhilin Li, Ming-Chih Lai, Zhilin Li, 2001, Appl. Math. Lett..

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

Zhilin Li, I. Caraus, V. A. Zolotarevskii, 2004 .

Partially penalized IFE methods and convergence analysis for elasticity interface problems

Zhilin Li, Peiqi Huang, Zhilin Li, 2021, J. Comput. Appl. Math..

A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems with Random Input

Qian Zhang, Zhilin Li, Zhiyue Zhang, 2015, Journal of Scientific Computing.

On convergence of the immersed boundary method for elliptic interface problems

Zhilin Li, Zhilin Li, 2014, Math. Comput..

A new parameter free partially penalized immersed finite element and the optimal convergence analysis pdf

Haifeng Ji, Feng Wang, Zhilin Li, 2021, Numerische Mathematik.

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

Zhilin Li, Zhilin Li, 2016 .

Effective matrix-free preconditioning for the augmented immersed interface method

Jianlin Xia, Zhilin Li, Xin Ye, 2015, J. Comput. Phys..

A Fast Finite Differenc Method For Solving Navier-Stokes Equations on Irregular Domains

Cheng Wang, Zhilin Li, Cheng Wang, 2003 .

An immersed FEM for elasticity equations with interfaces

Xingzhou Yang, Zhilin Li, Zhilin Li, 2004 .

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

Zhilin Li, Xiao-hui Wu, Tao Lin, 2003, Numerische Mathematik.

New Formulations for Interface Problems in Polar Coordinates

I-Liang Chern, Zhilin Li, Ming-Chih Lai, 2003, SIAM J. Sci. Comput..

Immersed interface methods for moving interface problems

Zhilin Li, Zhilin Li, 1997, Numerical Algorithms.