Search Results

• Global Finite Element Nonlinear Galerkin Method for the Penalized Navier-Stokes Equations

  Yin-Nian He, Yan-Ren Hou, Li-Quan Mei

  2021-07-01

  33533 3429 pp. 607-616

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  2026-02-15

  DOI:10.4208/jcm.2407-m2024-0047

  2742 329 pp. 1-34

• Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method

  Yue Feng, Zhijin Guan, Hehu Xie, Chenguang Zhou

  2026-02-15

  DOI:10.4208/jcm.2410-m2024-0079

  2891 228 pp. 135-164

• A Modified Weak Galerkin Finite Element Method for Singularly Perturbed Parabolic Convection-Diffusion-Reaction Problems

  Suayip Toprakseven, Fuzheng Gao

  2023-11-08

  DOI:10.4208/jcm.2203-m2021-0031

  27681 2591 pp. 1246-1280

• A Two-Level Finite Element Galerkin Method for the Nonstationary Navier-Stokes Equations II: Time Discretization

  Yinnian He, Huanling Miao, Chunfeng Ren

  2004-02-02

  33751 4086 pp. 33-54

• Mixed Discontinuous Galerkin Time-Stepping Method for Linear Parabolic Optimal Control Problems

  Tianliang Hou, Yanping Chen

  2018-08-22

  DOI:10.4208/jcm.1211-m4267

  37467 3061 pp. 158-178

• A Two-Level Finite Element Galerkin Method for the Nonstationary Navier-Stokes Equations I: Spatial Discretization

  Yinnian He

  2004-02-02

  33905 4218 pp. 21-32

• A Modified Weak Galerkin Finite Element Method for Sobolev Equation

  Fuzheng Gao, Xiaoshen Wang

  2018-08-22

  DOI:10.4208/jcm.1502-m4509

  36457 2877 pp. 307-322

• The Upwind Finite Element Scheme and Maximum Principle for Nonlinear Convection-Diffusion Problem

  Zhiyong Zhao, Jianwei Hu

  2004-10-02

  34261 3885 pp. 699-718

• An Over-Penalized Weak Galerkin Method for Second-Order Elliptic Problems

  Kaifang Liu, Lunji Song, Shuangfeng Zhou

  2021-07-01

  DOI:10.4208/jcm.1705-m2016-0744

  44010 4017 pp. 866-880

• Two-Grid Algorithm of $H^{1}$-Galerkin Mixed Finite Element Methods for Semilinear Parabolic Integro-Differential Equations

  Tianliang Hou, Chunmei Liu, Chunlei Dai, Luoping Chen, Yin Yang

  2022-10-06

  DOI:10.4208/jcm.2101-m2019-0159

  41702 2999 pp. 667-685

• Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

  Huan Liu, Xiangcheng Zheng, Hongfei Fu

  2022-10-06

  DOI:10.4208/jcm.2102-m2020-0211

  40760 3086 pp. 814-834

• A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form

  Ruishu Wang, Ran Zhang

  2018-09-17

  DOI:10.4208/jcm.1701-m2016-0733

  40944 2985 pp. 469-491

• Finite Element Nonlinear Galerkin Coupling Method for the Exterior Steady Navier-Stokes Problem

  Yin-Nian He, Kai-Tai Li, Fu-Hai Gao

  2021-07-01

  34326 3408 pp. 595-608

• A Weak Galerkin Mixed Finite Element Method for linear Elasticity Without Enforced Symmetry

  Yue Wang, Fuzheng Gao

  2025-07-12

  DOI:10.4208/jcm.2404-m2023-0250

  6177 538 pp. 898-917

• 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

• The Defect Iteration of the Finite Element for Elliptic Boundary Value Problems and Petrov-Galerkin Approximation

  Junbin Gao, Yidu Yang, T. M. Shih

  1998-04-02

  32968 3561 pp. 152-164

• The Quadratic Discontinuous Finite Volume Element Schemes for Elliptic Problems

  Yuzhi Lou, Hongxing Rui, Xiufang Feng

  2026-03-02

  DOI:10.4208/jcm.2509-m2024-0241

  86 70

• Convergence and Optimality of Adaptive Mixed Methods for Poisson's Equation in the FEEC Framework

  Michael Holst, Yuwen Li, Adam Mihalik, Ryan Szypowski

  2020-11-09

  DOI:10.4208/jcm.1905-m2018-0265

  44530 3166 pp. 748-767

• Error Estimates of Finite Element Methods for Stochastic Fractional Differential Equations

  Xiaocui Li, Xiaoyuan Yang

  2018-08-22

  DOI:10.4208/jcm.1607-m2015-0329

  36469 2841 pp. 346-362

• Extrapolation and A-Posteriori Error Estimators of Petrov-Galerkin Methods for Non-Linear Volterra Integro-Differential Equations

  Shu-Hua Zhang, Tao Lin, Yan-Ping Lin, Ming Rao

  2001-08-02

  33177 3751 pp. 407-422

• A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

  Chad Vidden, Jue Yan

  2021-07-01

  DOI:10.4208/jcm.1307-m4273

  37746 3865 pp. 638-662

• Finite Element Method with Grünwald-Letnikov Type Approximation in Time for a Constant Time Delay Subdiffusion Equation

  Weiping Bu, Xueqin Zhang, Weizhi Liao, Yue Zhao

  2026-03-16

  DOI:10.4208/jcm.2510-m2025-0131

  60 60

• Uniform Superconvergence Analysis of a Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors

  Yanmi Wu, Dongyang Shi

  2024-01-16

  DOI:10.4208/jcm.2203-m2021-0058

  25648 2148 pp. 415-431

• Finite Element Exterior Calculus for Evolution Problems

  Andrew Gillette, Michael Holst, Yunrong Zhu

  2018-08-22

  DOI:10.4208/jcm.1610-m2015-0319

  51287 3175 pp. 187-212

• The Pressure-Robust Weak Galerkin Finite Element Method for Stokes-Darcy Problem

  Jiwei Jia, Lin Yang, Qilong Zhai

  2026-04-15

  DOI:10.4208/jcm.2411-m2024-0051

  3346 306 pp. 307-327

• Unconditional Superconvergence Analysis of an $H^1$-Galerkin Mixed Finite Element Method for Two-Dimensional Ginzburg-Landau Equation

  Dongyang Shi, Junjun Wang

  2019-04-29

  DOI:10.4208/jcm.1802-m2017-0198

  41481 3224 pp. 437-457