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Zhilin Li 0002
Person information
- affiliation: North Carolina State University, Department of Mathematics, Raleigh, USA
Other persons with the same name
- Zhilin Li — disambiguation page
- Zhilin Li 0001 — Hong Kong Polytechnic University, Department of Land Surveying and Geo-Informatics (and 1 more)
- Zhilin Li 0003 — Beijing University of Posts and Telecommunications, Key Lab of Universal Wireless Communications, Ministry of Education, China
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2020 – today
- 2024
- [j60]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): 165 (2024) - [j59]Kejia Pan, Jin Li, Zhilin Li:
High order compact augmented methods for Stokes equations with different boundary conditions. Comput. Phys. Commun. 301: 109233 (2024) - [j58]Zhilin Li, Kejia Pan:
Coupled transformation methods and analysis for BVPs on infinite domains. J. Comput. Appl. Math. 444: 115771 (2024) - [j57]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): 1647-1674 (2024) - 2023
- [j56]Jin Li, Zhilin Li, Kejia Pan:
Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods. Appl. Math. Comput. 459: 128265 (2023) - [j55]Zhilin Li, Hayk Mikayelyan:
Numerical analysis of a free boundary problem with non-local obstacles. Appl. Math. Lett. 135: 108414 (2023) - [j54]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): 84 (2023) - [j53]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: 593-614 (2023) - [j52]Zhilin Li, Kejia Pan:
High Order Compact Schemes for Flux Type BCs. SIAM J. Sci. Comput. 45(2): 646- (2023) - [i10]Zhiyue Zhang, Kazufumi Ito, Zhilin Li:
A Neumann interface optimal control problem with elliptic PDE constraints and its discretization and numerical analysis. CoRR abs/2309.09151 (2023) - 2022
- [j51]Swarn Singh, Suruchi Singh, Zhilin Li:
A new patch up technique for elliptic partial differential equation with irregularities. J. Comput. Appl. Math. 407: 113975 (2022) - [j50]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: 110794 (2022) - [j49]Rui Li, Zhilin Li, Jun-Feng Yin:
A generalized modulus-based Newton method for solving a class of non-linear complementarity problems with P-matrices. Numer. Algorithms 89(2): 839-853 (2022) - [j48]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): 1117-1151 (2022) - [j47]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): 1035-1086 (2022) - [i9]Zhilin Li, Kejia Pan, Juan Ruiz-Álvarez:
High order two-grid finite difference methods for interface and internal layer problems. CoRR abs/2206.05389 (2022) - [i8]Sergio Amat, Zhilin Li, Juan Ruiz-Álvarez, Concepcion Solano, Juan Carlos Trillo:
Numerical integration rules with improved accuracy close to singularities. CoRR abs/2209.03049 (2022) - 2021
- [j46]Fenghua Tong, Xinlong Feng, Zhilin Li:
Fourth order compact FD methods for convection diffusion equations with variable coefficients. Appl. Math. Lett. 121: 107413 (2021) - [j45]Junyou Ye, Zhixia Yang, Zhilin Li:
Quadratic hyper-surface kernel-free least squares support vector regression. Intell. Data Anal. 25(2): 265-281 (2021) - [j44]Peiqi Huang, Zhilin Li:
Partially penalized IFE methods and convergence analysis for elasticity interface problems. J. Comput. Appl. Math. 382: 113059 (2021) - [j43]Xufeng Xiao, Xinlong Feng, Zhilin Li:
The local tangential lifting method for moving interface problems on surfaces with applications. J. Comput. Phys. 431: 110146 (2021) - [j42]Shaozhong Deng, Zhilin Li, Kejia Pan:
An ADI-Yee's scheme for Maxwell's equations with discontinuous coefficients. J. Comput. Phys. 438: 110356 (2021) - [j41]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): 67 (2021) - [j40]Haitao Jiang, Zhixia Yang, Zhilin Li:
Non-parallel hyperplanes ordinal regression machine. Knowl. Based Syst. 216: 106593 (2021) - [i7]Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li:
A new parameter free partially penalized immersed finite element and the optimal convergence analysis. CoRR abs/2103.10025 (2021) - [i6]Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li:
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems. CoRR abs/2108.03179 (2021) - [i5]Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li:
An immersed CR-P0 element for Stokes interface problems and the optimal convergence analysis. CoRR abs/2108.03776 (2021) - [i4]Baiying Dong, Zhilin Li:
A simple third order compact finite element method for 1D BVP. CoRR abs/2108.06627 (2021) - [i3]Zhilin Li, Juan Ruiz-Álvarez:
Convergence study of IB methods for Stokes equations with non-periodic boundary conditions. CoRR abs/2108.06630 (2021) - [i2]Zhilin Li, Kejia Pan:
Can 4th-order compact schemes exist for flux type BCs? CoRR abs/2109.05638 (2021) - 2020
- [j39]Fenghua Tong, Weilong Wang, Xinlong Feng, Jianping Zhao, Zhilin Li:
How to obtain an accurate gradient for interface problems? J. Comput. Phys. 405: 109070 (2020) - [j38]Baiying Dong, Xiufang Feng, Zhilin Li:
An FE-FD Method for Anisotropic Elliptic Interface Problems. SIAM J. Sci. Comput. 42(4): B1041-B1066 (2020)
2010 – 2019
- 2019
- [j37]Xiaohong Chen, Xiufang Feng, Zhilin Li:
A direct method for accurate solution and gradient computations for elliptic interface problems. Numer. Algorithms 80(3): 709-740 (2019) - [i1]Baiying Dong, Xiufang Feng, Zhilin Li:
On jump relations of anisotropic elliptic interface problems. CoRR abs/1907.09034 (2019) - 2018
- [j36]Rui Hu, Zhilin Li:
Error analysis of the immersed interface method for Stokes equations with an interface. Appl. Math. Lett. 83: 207-211 (2018) - [j35]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): 1500-1534 (2018) - [j34]Zhilin Li, Xiaohong Chen, Zhengru Zhang:
On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient. Multiscale Model. Simul. 16(4): 1623-1647 (2018) - 2017
- [j33]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): 527-537 (2017) - [j32]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): 404-418 (2017) - [j31]Zhilin Li, Fangfang Qin:
An Augmented Method for 4th Order PDEs with Discontinuous Coefficients. J. Sci. Comput. 73(2-3): 968-979 (2017) - [j30]Zhilin Li, Haifeng Ji, Xiaohong Chen:
Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients. SIAM J. Numer. Anal. 55(2): 570-597 (2017) - 2016
- [j29]Haifeng Ji, Jinru Chen, Zhilin Li:
Augmented immersed finite element methods for some elliptic partial differential equations. Int. J. Comput. Math. 93(3): 540-558 (2016) - [j28]Qian Zhang, Zhilin Li, Zhiyue Zhang:
A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems with Random Input. J. Sci. Comput. 67(1): 262-280 (2016) - [j27]Haifeng Ji, Jinru Chen, Zhilin Li:
A new augmented immersed finite element method without using SVD interpolations. Numer. Algorithms 71(2): 395-416 (2016) - 2015
- [j26]Juan Ruiz-Álvarez, Zhilin Li:
The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow. Appl. Math. Comput. 264: 179-197 (2015) - [j25]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): 89-103 (2015) - [j24]Yuping Zeng, Jinru Chen, Zhilin Li:
A parallel Robin-Robin domain decomposition method for H(div)-elliptic problems. Int. J. Comput. Math. 92(2): 394-410 (2015) - [j23]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: 182-193 (2015) - [j22]Qian Zhang, Kazufumi Ito, Zhilin Li, Zhiyue Zhang:
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. J. Comput. Phys. 298: 305-319 (2015) - [j21]Jianlin Xia, Zhilin Li, Xin Ye:
Effective matrix-free preconditioning for the augmented immersed interface method. J. Comput. Phys. 303: 295-312 (2015) - [j20]Zhilin Li:
On convergence of the immersed boundary method for elliptic interface problems. Math. Comput. 84(293): 1169-1188 (2015) - 2014
- [j19]Haifeng Ji, Jinru Chen, Zhilin Li:
A Symmetric and Consistent Immersed Finite Element Method for Interface Problems. J. Sci. Comput. 61(3): 533-557 (2014) - 2011
- [j18]Juan Ruiz-Álvarez, Jinru Chen, Zhilin Li:
The IIM in polar coordinates and its application to electro capacitance tomography problems. Numer. Algorithms 57(3): 405-423 (2011)
2000 – 2009
- 2009
- [j17]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): 2616-2628 (2009) - [j16]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): 7821-7836 (2009) - 2008
- [j15]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): 113-133 (2008) - [j14]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): 9955-9983 (2008) - 2007
- [j13]Zhilin Li, C. V. Pao, Zhonghua Qiao:
A Finite Difference Method and Analysis for 2D Nonlinear Poisson-Boltzmann Equations. J. Sci. Comput. 30(1): 61-81 (2007) - [j12]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): 472-495 (2007) - 2006
- [j11]Kazufumi Ito, Zhilin Li:
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. Appl. Math. Lett. 19(3): 229-234 (2006) - [j10]Jian-Jun Xu, Zhilin Li, John S. Lowengrub, Hongkai Zhao:
A level-set method for interfacial flows with surfactant. J. Comput. Phys. 212(2): 590-616 (2006) - 2005
- [j9]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): 346-367 (2005) - 2004
- [c2]Zhilin Li:
Augmented Strategies for Interface and Irregular Domain Problems. NAA 2004: 66-79 - 2003
- [j8]Kazufumi Ito, Zhilin Li:
Solving a Nonlinear Problem in Magneto-Rheological Fluids Using the Immersed Interface Method. J. Sci. Comput. 19(1-3): 253-266 (2003) - [j7]Zhilin Li, Tao Lin, Xiaohui Wu:
New Cartesian grid methods for interface problems using the finite element formulation. Numerische Mathematik 96(1): 61-98 (2003) - [j6]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): 224-245 (2003) - 2002
- [j5]Loyce Adams, Zhilin Li:
The Immersed Interface/Multigrid Methods for Interface Problems. SIAM J. Sci. Comput. 24(2): 463-479 (2002) - 2001
- [j4]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): 149-154 (2001) - [j3]Zhilin Li, Kazufumi Ito:
Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients. SIAM J. Sci. Comput. 23(1): 339-361 (2001) - 2000
- [c1]Zhilin Li, Wei Cai:
A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals. NAA 2000: 527-534
1990 – 1999
- 1997
- [j2]Zhilin Li:
Immersed interface methods for moving interface problems. Numer. Algorithms 14(4): 269-293 (1997) - [j1]Randall J. LeVeque, Zhilin Li:
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension. SIAM J. Sci. Comput. 18(3): 709-735 (1997)
Coauthor Index
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