Search Results

• The Best $L^2$ Norm Error Estimate of Lower Order Finite Element Methods for the Fourth Order Problem

  Jun Hu, Zhong-Ci Shi

  2018-08-22

  DOI:10.4208/jcm.1203-m3855

  36484 3445 pp. 449-460

• The L2-Norm Error Estimate of Nonconforming Finite Element Method for the 2nd Order Elliptic Problem with the Lowest Regularity

  Lie-Heng Wang

  2000-06-02

  307 82 pp. 277-282

• Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations

  Huaijun Yang, Dongyang Shi

  2021-11-19

  DOI:10.4208/jcm.2007-m2020-0164

  42727 3924 pp. 127-146

• A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm

  Yuping Zeng, Feng Wang, Zhifeng Weng, Hanzhang Hu

  2021-10-15

  DOI:10.4208/jcm.2006-m2019-0010

  40787 3131 pp. 755-776

• A Priori Error Estimate and Superconvergence Analysis for an Optimal Control Problem of Bilinear Type

  Danping Yang, Yanzhen Chang, Wenbin Liu

  2018-08-07

  31431 3463 pp. 471-487

• A Posteriori Error Analysis of the PML Finite Volume Method for the Scattering Problem by a Periodic Chiral Structure

  Zhoufeng Wang, Muhua Liu

  2024-11-19

  DOI:10.4208/jcm.2305-m2022-0234

  11805 1054 pp. 413-437

• A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems

  Yuping Zeng, Jinru Chen, Feng Wang, Yanxia Meng

  2018-08-22

  DOI:10.4208/jcm.1403-CR5

  35192 4054 pp. 332-347

• A Posteriori Energy-Norm Error Estimates for Advection-Diffusion Equations Approximated by Weighted Interior Penalty Methods

  Alexandre Ern, Annette F. Stephansen

  2018-08-07

  31632 3452 pp. 488-510

• High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  DOI:10.4208/jcm.1510-m2014-0002

  41317 3041 pp. 135-158

• A Posteriori Error Estimates of the Weak Galerkin Finite Element Method for Poisson-Nernst-Planck Equations

  Wanwan Zhu, Guanghua Ji

  2026-04-15

  DOI:10.4208/jcm.2412-m2024-0126

  3223 189 pp. 349-368

• Optimal Error Analysis of a Hodge-Decomposition Based Finite Element Method for the Ginzburg-Landau Equations in Superconductivity

  Huadong Gao, Wen Xie

  2025-10-30

  DOI:10.4208/jcm.2404-m2023-0189

  4540 339 pp. 1397-1416

• Maximum Norm Error Estimates of Crouzeix-Raviart Nonconforming Finite Element Approximation of Navier-Stokes Problem

  Qing-Ping Deng, Xue-Jun Xu, Shu-Min Shen

  2000-04-02

  31739 3436 pp. 141-156

• Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations

  Ying Yang, Ya Liu, Yang Liu, Shi Shu

  2024-11-21

  DOI:10.4208/jcm.2401-m2023-0130

  16308 1580 pp. 731-770

• Adaptive Virtual Element Method for Convection Dominated Diffusion Equations

  Qiming Wang, Zhaojie Zhou

  2024-11-18

  DOI:10.4208/jcm.2309-m2021-0366

  11283 1390 pp. 174-202

• On $L^2$ Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems

  Fuzheng Gao, Lin Mu

  2018-08-22

  DOI:10.4208/jcm.1401-m4385

  37327 4388 pp. 195-204

• Optimal Point-Wise Error Estimate of a Compact Finite Difference Scheme for the Coupled Nonlinear Schrödinger Equations

  Tingchun Wang

  2018-08-22

  DOI:10.4208/jcm.1310-m4340

  37659 4374 pp. 58-74

• Variational Discretization for Optimal Control Governed by Convection Dominated Diffusion Equations

  Michael Hinze, Ningning Yan, Zhaojie Zhou

  2018-08-07

  33679 3706 pp. 237-253

• Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients I: $L^1$-Error Estimates

  Xin Wen & Shi Jin

  2018-08-15

  33461 4401 pp. 1-22

• A Simple Error Estimate of Discontinuous Galerkin Methods for Elliptic Equations with Low Regularity

  Kaifang Liu

  2025-11-26

  DOI:10.4208/jcm.2506-m2025-0066

  195 240

• Approximation of Nonconforming Quasi-Wilson Element for Sine-Gordon Equations

  Dongyang Shi, Ding Zhang

  2018-08-22

  DOI:10.4208/jcm.1212-m3897

  36468 3558 pp. 271-282

• Optimal Error Estimates for Nédélec Edge Elements for Time-Harmonic Maxwell's Equations

  Liuqiang Zhong, Shi Shu, Gabriel Wittum, Jinchao Xu

  2018-08-07

  DOI:10.4208/jcm.2009.27.5.011

  35048 3747 pp. 563-572

• A Stabilized Equal-Order Finite Volume Method for the Stokes Equations

  Wanfu Tian, Liqiu Song, Yonghai Li

  2021-07-01

  DOI:10.4208/jcm.1206-m3843

  36720 3803 pp. 615-628

• A Weak Galerkin Mixed Finite Element Method for Second-Order Elliptic Equations with Robin Boundary Conditions

  Qian Zhang, Ran Zhang

  2018-08-22

  DOI:10.4208/jcm.1604-m2015-0413

  36805 2951 pp. 532-548

• Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

  Juan Li, Xuping Wang

  2026-02-15

  DOI:10.4208/jcm.2410-m2024-0001

  2559 251 pp. 165-190

• Max-Norm Estimates for Galerkin Approximations of One-Dimensional Elliptic, Parabolic and Hyperbolic Problems with Mixed Boundary Conditions

  Che Sun

  2021-07-01

  33202 3486 pp. 383-396

• A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media

  Long Yuan, Xiaoyu Wang, Xiaoqiang Yue

  2026-04-15

  DOI:10.4208/jcm.2412-m2024-0141

  3205 199 pp. 394-426

• Optimal Point-Wise Error Estimate of Two Second-Order Accurate Finite Difference Schemes for the Heat Equation with Concentrated Capacity

  Leilei Shi, Tingchun Wang, Xuanxuan Zhou

  2026-02-15

  DOI:10.4208/jcm.2409-m2024-0044

  2549 199 pp. 61-83