Zhilin Li

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 49

Top Topics

Boundary Conditions

Convergence Analysis

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Numer. Algorithms

Publications

Zhilin Li, Kejia Pan, Juan Ruiz, Dionisio F. Yáñez
Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants. Comput. Appl. Math. 43 (4) (2024)
Kejia Pan, Jin Li, Zhilin Li
High order compact augmented methods for Stokes equations with different boundary conditions. Comput. Phys. Commun. 301 (2024)
Zhilin Li, Kejia Pan
Coupled transformation methods and analysis for BVPs on infinite domains. J. Comput. Appl. Math. 444 (2024)
Zhilin Li, Kejia Pan, Juan Ruiz-Álvarez
Stable high order FD methods for interface and internal layer problems based on non-matching grids. Numer. Algorithms 96 (4) (2024)
Sergio Amat, Zhilin Li, Juan Ruiz Álvarez, Concepcion Solano, Juan Carlos Trillo
Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms. J. Sci. Comput. 95 (3) (2023)
Jin Li, Zhilin Li, Kejia Pan
Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods. Appl. Math. Comput. 459 (2023)
Sergio Amat, Zhilin Li, Juan Ruiz Álvarez, Concepcion Solano, Juan Carlos Trillo
Numerical integration rules with improved accuracy close to discontinuities. Math. Comput. Simul. 210 (2023)
Zhilin Li, Kejia Pan
High Order Compact Schemes for Flux Type BCs. SIAM J. Sci. Comput. 45 (2) (2023)
Zhiyue Zhang, Kazufumi Ito, Zhilin Li
A Neumann interface optimal control problem with elliptic PDE constraints and its discretization and numerical analysis. CoRR (2023)
Zhilin Li, Hayk Mikayelyan
Numerical analysis of a free boundary problem with non-local obstacles. Appl. Math. Lett. 135 (2023)
Zhilin Li, Kejia Pan, Juan Ruiz
High order two-grid finite difference methods for interface and internal layer problems. CoRR (2022)
Jiali Xu, Haiyan Su, Zhilin Li
Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations. Numer. Algorithms 90 (3) (2022)
Kejia Pan, Xiaoxin Wu, Hongling Hu, Yunlong Yu, Zhilin Li
A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients. J. Comput. Phys. 449 (2022)
Sergio Amat, Zhilin Li, Juan Ruiz Álvarez, Concepcion Solano, Juan Carlos Trillo
Numerical integration rules with improved accuracy close to singularities. CoRR (2022)
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
A new parameter free partially penalized immersed finite element and the optimal convergence analysis. Numerische Mathematik 150 (4) (2022)
Peiqi Huang, Zhilin Li
Partially penalized IFE methods and convergence analysis for elasticity interface problems. J. Comput. Appl. Math. 382 (2021)
Fenghua Tong, Xinlong Feng, Zhilin Li
Fourth order compact FD methods for convection diffusion equations with variable coefficients. Appl. Math. Lett. 121 (2021)
Zhilin Li, Juan Ruiz Álvarez
Convergence study of IB methods for Stokes equations with non-periodic boundary conditions. CoRR (2021)
Kejia Pan, Dongdong He, Zhilin Li
A High Order Compact FD Framework for Elliptic BVPs Involving Singular Sources, Interfaces, and Irregular Domains. J. Sci. Comput. 88 (3) (2021)
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
element for Stokes interface problems and the optimal convergence analysis. CoRR (2021)
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems. CoRR (2021)
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
A new parameter free partially penalized immersed finite element and the optimal convergence analysis. CoRR (2021)
Junyou Ye, Zhixia Yang, Zhilin Li
Quadratic hyper-surface kernel-free least squares support vector regression. Intell. Data Anal. 25 (2) (2021)
Xufeng Xiao, Xinlong Feng, Zhilin Li
The local tangential lifting method for moving interface problems on surfaces with applications. J. Comput. Phys. 431 (2021)
Shaozhong Deng, Zhilin Li, Kejia Pan
An ADI-Yee's scheme for Maxwell's equations with discontinuous coefficients. J. Comput. Phys. 438 (2021)
Baiying Dong, Zhilin Li
A simple third order compact finite element method for 1D BVP. CoRR (2021)
Haitao Jiang, Zhixia Yang, Zhilin Li
Non-parallel hyperplanes ordinal regression machine. Knowl. Based Syst. 216 (2021)
Zhilin Li, Kejia Pan
Can 4th-order compact schemes exist for flux type BCs? CoRR (2021)
Baiying Dong, Xiufang Feng, Zhilin Li
An FE-FD Method for Anisotropic Elliptic Interface Problems. SIAM J. Sci. Comput. 42 (4) (2020)
Fenghua Tong, Weilong Wang, Xinlong Feng, Jianping Zhao, Zhilin Li
How to obtain an accurate gradient for interface problems? J. Comput. Phys. 405 (2020)
Xiaohong Chen, Xiufang Feng, Zhilin Li
A direct method for accurate solution and gradient computations for elliptic interface problems. Numer. Algorithms 80 (3) (2019)
Baiying Dong, Xiufang Feng, Zhilin Li
On jump relations of anisotropic elliptic interface problems. CoRR (2019)
Sergio Amat, Zhilin Li, Juan Ruiz
On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method. J. Sci. Comput. 75 (3) (2018)
Zhilin Li, Xiaohong Chen, Zhengru Zhang
On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient. Multiscale Model. Simul. 16 (4) (2018)
Rui Hu, Zhilin Li
Error analysis of the immersed interface method for Stokes equations with an interface. Appl. Math. Lett. 83 (2018)
Zhilin Li, Fangfang Qin
An Augmented Method for 4th Order PDEs with Discontinuous Coefficients. J. Sci. Comput. 73 (2-3) (2017)
Fangfang Qin, Zhaohui Wang, Zhijie Ma, Zhilin Li
Accurate gradient computations at interfaces using finite element methods. Int. J. Appl. Math. Comput. Sci. 27 (3) (2017)
Fangfang Qin, Jinru Chen, Zhilin Li, Mingchao Cai
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems. Comput. Math. Appl. 73 (3) (2017)
Zhilin Li, Haifeng Ji, Xiaohong Chen
Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients. SIAM J. Numer. Anal. 55 (2) (2017)
Haifeng Ji, Jinru Chen, Zhilin Li
Augmented immersed finite element methods for some elliptic partial differential equations. Int. J. Comput. Math. 93 (3) (2016)
Haifeng Ji, Jinru Chen, Zhilin Li
A new augmented immersed finite element method without using SVD interpolations. Numer. Algorithms 71 (2) (2016)
Qian Zhang, Zhilin Li, Zhiyue Zhang
A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems with Random Input. J. Sci. Comput. 67 (1) (2016)
Yuping Zeng, Jinru Chen, Zhilin Li
A parallel Robin-Robin domain decomposition method for H(div)-elliptic problems. Int. J. Comput. Math. 92 (2) (2015)
Jianlin Xia, Zhilin Li, Xin Ye
Effective matrix-free preconditioning for the augmented immersed interface method. J. Comput. Phys. 303 (2015)
Zhilin Li, Li Xiao, Qin Cai, Hongkai Zhao, Ray Luo
A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. J. Comput. Phys. 297 (2015)
Zhilin Li
On convergence of the immersed boundary method for elliptic interface problems. Math. Comput. 84 (293) (2015)
Qian Zhang, Kazufumi Ito, Zhilin Li, Zhiyue Zhang
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. J. Comput. Phys. 298 (2015)
Ling Zhu, Zhiyue Zhang, Zhilin Li
An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions. Comput. Math. Appl. 70 (2) (2015)
Juan Ruiz Álvarez, Zhilin Li
The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow. Appl. Math. Comput. 264 (2015)
Haifeng Ji, Jinru Chen, Zhilin Li
A Symmetric and Consistent Immersed Finite Element Method for Interface Problems. J. Sci. Comput. 61 (3) (2014)
Juan Ruiz Álvarez, Jinru Chen, Zhilin Li
The IIM in polar coordinates and its application to electro capacitance tomography problems. Numer. Algorithms 57 (3) (2011)
Xiaolei Yang, Xing Zhang, Zhilin Li, Guo-Wei He
A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations. J. Comput. Phys. 228 (20) (2009)
Kazufumi Ito, Ming-Chih Lai, Zhilin Li
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. J. Comput. Phys. 228 (7) (2009)
Zhijun Tan, Duc-Vinh Le, Zhilin Li, Kian Meng Lim, Boo Cheong Khoo
An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane. J. Comput. Phys. 227 (23) (2008)
Guo Chen, Zhilin Li, Ping Lin
A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow. Adv. Comput. Math. 29 (2) (2008)
Yan Gong, Bo Li, Zhilin Li
Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions. SIAM J. Numer. Anal. 46 (1) (2007)
Zhilin Li, C. V. Pao, Zhonghua Qiao
A Finite Difference Method and Analysis for 2D Nonlinear Poisson-Boltzmann Equations. J. Sci. Comput. 30 (1) (2007)
Kazufumi Ito, Zhilin Li
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. Appl. Math. Lett. 19 (3) (2006)
Jian-Jun Xu, Zhilin Li, John S. Lowengrub, Hongkai Zhao
A level-set method for interfacial flows with surfactant. J. Comput. Phys. 212 (2) (2006)
Kazufumi Ito, Zhilin Li, Yaw Kyei
Higher-Order, Cartesian Grid Based Finite Difference Schemes for Elliptic Equations on Irregular Domains. SIAM J. Sci. Comput. 27 (1) (2005)
Zhilin Li
Augmented Strategies for Interface and Irregular Domain Problems. NAA (2004)
Kazufumi Ito, Zhilin Li
Solving a Nonlinear Problem in Magneto-Rheological Fluids Using the Immersed Interface Method. J. Sci. Comput. 19 (1-3) (2003)
Zhilin Li, Wei-Cheng Wang, I-Liang Chern, Ming-Chih Lai
New Formulations for Interface Problems in Polar Coordinates. SIAM J. Sci. Comput. 25 (1) (2003)
Zhilin Li, Tao Lin, Xiaohui Wu
New Cartesian grid methods for interface problems using the finite element formulation. Numerische Mathematik 96 (1) (2003)
Loyce Adams, Zhilin Li
The Immersed Interface/Multigrid Methods for Interface Problems. SIAM J. Sci. Comput. 24 (2) (2002)
Ming-Chih Lai, Zhilin Li
A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane. Appl. Math. Lett. 14 (2) (2001)
Zhilin Li, Kazufumi Ito
Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients. SIAM J. Sci. Comput. 23 (1) (2001)
Zhilin Li, Wei Cai
A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals. NAA (2000)
Randall J. LeVeque, Zhilin Li
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension. SIAM J. Sci. Comput. 18 (3) (1997)