Zhilin Li

78 papers Journal 75Unranked 2
YearRankTypeTitle / Venue / Authors
2026 J jnl
A unified approach to high-order compact finite difference schemes for 3D Poisson equations.
J. Comput. Appl. Math.
Kang Fu, Hongling Hu, Zhilin Li, Kejia Pan
2025 J jnl
A fourth order mixed compact finite difference scheme for biharmonic equations.
J. Comput. Phys.
Kejia Pan, Jin Li, Zhilin Li, Hongling Hu
2025 J jnl
Analysis of harmonic average method for interface problems with discontinuous solutions and fluxes.
CoRR
Kejia Pan, Hengrui Xu, Zhilin Li
2025 J jnl
New third-order convex splitting methods and analysis for the phase field crystal equation.
Numer. Algorithms
Zhijian Ye, Zhoushun Zheng, Zhilin Li
2024 J jnl
Coupled transformation methods and analysis for BVPs on infinite domains.
J. Comput. Appl. Math.
Zhilin Li, Kejia Pan
2024 J jnl
Fourth-order compact finite difference schemes for solving biharmonic equations with Dirichlet boundary conditions.
CoRR
Kejia Pan, Jin Li, Zhilin Li, Kang Fu
2024 J jnl
Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants.
Comput. Appl. Math.
Zhilin Li, Kejia Pan, Juan Ruiz, Dionisio F. Yáñez
2024 J jnl
High order compact augmented methods for Stokes equations with different boundary conditions.
Comput. Phys. Commun.
Kejia Pan, Jin Li, Zhilin Li
2024 J jnl
Stable high order FD methods for interface and internal layer problems based on non-matching grids.
Numer. Algorithms
Zhilin Li, Kejia Pan, Juan Ruiz-Álvarez
2023 J jnl
A Neumann interface optimal control problem with elliptic PDE constraints and its discretization and numerical analysis.
CoRR
Zhiyue Zhang, Kazufumi Ito, Zhilin Li
2023 J jnl
Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods.
Appl. Math. Comput.
Jin Li, Zhilin Li, Kejia Pan
2023 J jnl
Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms.
J. Sci. Comput.
Sergio Amat, Zhilin Li, Juan Ruiz-Álvarez, Concepcion Solano, Juan Carlos Trillo
2023 J jnl
High Order Compact Schemes for Flux Type BCs.
SIAM J. Sci. Comput.
Zhilin Li, Kejia Pan
2023 J jnl
Numerical analysis of a free boundary problem with non-local obstacles.
Appl. Math. Lett.
Zhilin Li, Hayk Mikayelyan
2023 J jnl
Numerical integration rules with improved accuracy close to discontinuities.
Math. Comput. Simul.
Sergio Amat, Zhilin Li, Juan Ruiz-Álvarez, Concepcion Solano, Juan Carlos Trillo
2022 J jnl
A generalized modulus-based Newton method for solving a class of non-linear complementarity problems with P-matrices.
Numer. Algorithms
Rui Li, Zhilin Li, Jun-Feng Yin
2022 J jnl
A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients.
J. Comput. Phys.
Kejia Pan, Xiaoxin Wu, Hongling Hu, Yunlong Yu, Zhilin Li
2022 J jnl
A new parameter free partially penalized immersed finite element and the optimal convergence analysis.
Numerische Mathematik
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
2022 J jnl
A new patch up technique for elliptic partial differential equation with irregularities.
J. Comput. Appl. Math.
Swarn Singh, Suruchi Singh, Zhilin Li
2022 J jnl
High order two-grid finite difference methods for interface and internal layer problems.
CoRR
Zhilin Li, Kejia Pan, Juan Ruiz-Álvarez
2022 J jnl
Numerical integration rules with improved accuracy close to singularities.
CoRR
Sergio Amat, Zhilin Li, Juan Ruiz-Álvarez, Concepcion Solano, Juan Carlos Trillo
2022 J jnl
Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations.
Numer. Algorithms
Jiali Xu, Haiyan Su, Zhilin Li
2021 J jnl
A High Order Compact FD Framework for Elliptic BVPs Involving Singular Sources, Interfaces, and Irregular Domains.
J. Sci. Comput.
Kejia Pan, Dongdong He, Zhilin Li
2021 J jnl
A new parameter free partially penalized immersed finite element and the optimal convergence analysis.
CoRR
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
2021 J jnl
A simple third order compact finite element method for 1D BVP.
CoRR
Baiying Dong, Zhilin Li
2021 J jnl
An ADI-Yee's scheme for Maxwell's equations with discontinuous coefficients.
J. Comput. Phys.
Shaozhong Deng, Zhilin Li, Kejia Pan
2021 J jnl
An immersed CR-P
CoRR
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
2021 J jnl
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems.
CoRR
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
2021 J jnl
Can 4th-order compact schemes exist for flux type BCs?
CoRR
Zhilin Li, Kejia Pan
2021 J jnl
Convergence study of IB methods for Stokes equations with non-periodic boundary conditions.
CoRR
Zhilin Li, Juan Ruiz-Álvarez
2021 J jnl
Fourth order compact FD methods for convection diffusion equations with variable coefficients.
Appl. Math. Lett.
Fenghua Tong, Xinlong Feng, Zhilin Li
2021 J jnl
Non-parallel hyperplanes ordinal regression machine.
Knowl. Based Syst.
Haitao Jiang, Zhixia Yang, Zhilin Li
2021 J jnl
Partially penalized IFE methods and convergence analysis for elasticity interface problems.
J. Comput. Appl. Math.
Peiqi Huang, Zhilin Li
2021 J jnl
Quadratic hyper-surface kernel-free least squares support vector regression.
Intell. Data Anal.
Junyou Ye, Zhixia Yang, Zhilin Li
2021 J jnl
The local tangential lifting method for moving interface problems on surfaces with applications.
J. Comput. Phys.
Xufeng Xiao, Xinlong Feng, Zhilin Li
2020 J jnl
An FE-FD Method for Anisotropic Elliptic Interface Problems.
SIAM J. Sci. Comput.
Baiying Dong, Xiufang Feng, Zhilin Li
2020 J jnl
How to obtain an accurate gradient for interface problems?
J. Comput. Phys.
Fenghua Tong, Weilong Wang, Xinlong Feng, Jianping Zhao, Zhilin Li
2019 J jnl
A direct method for accurate solution and gradient computations for elliptic interface problems.
Numer. Algorithms
Xiaohong Chen, Xiufang Feng, Zhilin Li
2019 J jnl
On jump relations of anisotropic elliptic interface problems.
CoRR
Baiying Dong, Xiufang Feng, Zhilin Li
2018 J jnl
Error analysis of the immersed interface method for Stokes equations with an interface.
Appl. Math. Lett.
Rui Hu, Zhilin Li
2018 J jnl
On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient.
Multiscale Model. Simul.
Zhilin Li, Xiao-hong Chen, Zhengru Zhang
2018 J jnl
On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method.
J. Sci. Comput.
Sergio Amat, Zhilin Li, Juan Ruiz
2017 J jnl
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems.
Comput. Math. Appl.
Fangfang Qin, Jinru Chen, Zhilin Li, Mingchao Cai
2017 J jnl
Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients.
SIAM J. Numer. Anal.
Zhilin Li, Haifeng Ji, Xiaohong Chen
2017 J jnl
Accurate gradient computations at interfaces using finite element methods.
Int. J. Appl. Math. Comput. Sci.
Fangfang Qin, Zhaohui Wang, Zhijie Ma, Zhilin Li
2017 J jnl
An Augmented Method for 4th Order PDEs with Discontinuous Coefficients.
J. Sci. Comput.
Zhilin Li, Fangfang Qin
2016 J jnl
A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems with Random Input.
J. Sci. Comput.
Qian Zhang, Zhilin Li, Zhiyue Zhang
2016 J jnl
A new augmented immersed finite element method without using SVD interpolations.
Numer. Algorithms
Haifeng Ji, Jinru Chen, Zhilin Li
2016 J jnl
Augmented immersed finite element methods for some elliptic partial differential equations.
Int. J. Comput. Math.
Haifeng Ji, Jinru Chen, Zhilin Li
2015 J jnl
A parallel Robin-Robin domain decomposition method for H(div)-elliptic problems.
Int. J. Comput. Math.
Yuping Zeng, Jinru Chen, Zhilin Li
2015 J jnl
A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions.
J. Comput. Phys.
Zhilin Li, Li Xiao, Qin Cai, Hongkai Zhao, Ray Luo
2015 J jnl
An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions.
Comput. Math. Appl.
Ling Zhu, Zhiyue Zhang, Zhilin Li
2015 J jnl
Effective matrix-free preconditioning for the augmented immersed interface method.
J. Comput. Phys.
Jianlin Xia, Zhilin Li, Xin Ye
2015 J jnl
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces.
J. Comput. Phys.
Qian Zhang, Kazufumi Ito, Zhilin Li, Zhiyue Zhang
2015 J jnl
On convergence of the immersed boundary method for elliptic interface problems.
Math. Comput.
Zhilin Li
2015 J jnl
The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow.
Appl. Math. Comput.
Juan Ruiz-Álvarez, Zhilin Li
2014 J jnl
A Symmetric and Consistent Immersed Finite Element Method for Interface Problems.
J. Sci. Comput.
Haifeng Ji, Jinru Chen, Zhilin Li
2011 J jnl
The IIM in polar coordinates and its application to electro capacitance tomography problems.
Numer. Algorithms
Juan Ruiz-Álvarez, Jinru Chen, Zhilin Li
2009 J jnl
A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations.
J. Comput. Phys.
Xiaolei Yang, Xing Zhang, Zhilin Li, Guo-Wei He
2009 J jnl
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains.
J. Comput. Phys.
Kazufumi Ito, Ming-Chih Lai, Zhilin Li
2008 J jnl
A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow.
Adv. Comput. Math.
Guo Chen, Zhilin Li, Ping Lin
2008 J jnl
An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane.
J. Comput. Phys.
Zhijun Tan, Duc-Vinh Le, Zhilin Li, Kian Meng Lim, Boo Cheong Khoo
2007 J jnl
A Finite Difference Method and Analysis for 2D Nonlinear Poisson-Boltzmann Equations.
J. Sci. Comput.
Zhilin Li, C. V. Pao, Zhonghua Qiao
2007 J jnl
Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions.
SIAM J. Numer. Anal.
Yan Gong, Bo Li, Zhilin Li
2006 J jnl
A level-set method for interfacial flows with surfactant.
J. Comput. Phys.
Jian-Jun Xu, Zhilin Li, John S. Lowengrub, Hongkai Zhao
2006 J jnl
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources.
Appl. Math. Lett.
Kazufumi Ito, Zhilin Li
2005 J jnl
Higher-Order, Cartesian Grid Based Finite Difference Schemes for Elliptic Equations on Irregular Domains.
SIAM J. Sci. Comput.
Kazufumi Ito, Zhilin Li, Yaw Kyei
2005 — ed.
Numerical Analysis and Its Applications, Third International Conference, NAA 2004, Rousse, Bulgaria, June 29 - July 3, 2004, Revised Selected Papers
NAA
Zhilin Li, Lubin G. Vulkov, Jerzy Wasniewski
2004 — conf
Augmented Strategies for Interface and Irregular Domain Problems.
NAA
Zhilin Li
2003 J jnl
New Cartesian grid methods for interface problems using the finite element formulation.
Numerische Mathematik
Zhilin Li, Tao Lin, Xiaohui Wu
2003 J jnl
New Formulations for Interface Problems in Polar Coordinates.
SIAM J. Sci. Comput.
Zhilin Li, Wei-Cheng Wang, I-Liang Chern, Ming-Chih Lai
2003 J jnl
Solving a Nonlinear Problem in Magneto-Rheological Fluids Using the Immersed Interface Method.
J. Sci. Comput.
Kazufumi Ito, Zhilin Li
2002 J jnl
The Immersed Interface/Multigrid Methods for Interface Problems.
SIAM J. Sci. Comput.
Loyce Adams, Zhilin Li
2001 J jnl
A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane.
Appl. Math. Lett.
Ming-Chih Lai, Zhilin Li
2001 J jnl
Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients.
SIAM J. Sci. Comput.
Zhilin Li, Kazufumi Ito
2000 — conf
A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals.
NAA
Zhilin Li, Wei Cai
1997 J jnl
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension.
SIAM J. Sci. Comput.
Randall J. LeVeque, Zhilin Li
1997 J jnl
Immersed interface methods for moving interface problems.
Numer. Algorithms
Zhilin Li