Search Results

• 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

• Explicit Error Estimates for Mixed and Nonconforming Finite Elements

  Shipeng Mao, Zhongci Shi

  2009-08-02

  DOI:10.4208/jcm.2009.27.4.011

  33231 3303 pp. 425-440

• Superconvergence Error Estimates of the Lowest-Order Raviart-Thomas Galerkin Mixed Finite Element Method for Nonlinear Thermistor Equations

  Huaijun Yang, Dongyang Shi

  2025-10-30

  DOI:10.4208/jcm.2406-m2023-0169

  4575 322 pp. 1548-1574

• Optimal Error Estimates of the Partition of Unity Method with Local Polynomial Approximation Spaces

  YQ Huang, W Li, F Su

  2006-06-02

  33680 3703 pp. 365-372

• Error Analysis of a Stabilized Finite Element Method for the Generalized Stokes Problem

  Huoyuan Duan, Roger C.E. Tan

  2020-02-20

  DOI:10.4208/jcm.1805-m2017-0192

  43237 3082 pp. 254-290

• Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems

  Jiliang Cao, Aiguo Xiao, Wansheng Wang

  2024-11-19

  DOI:10.4208/jcm.2210-m2022-0085

  11919 1100 pp. 345-368

• 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

• Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation

  Meng Li, Jikun Zhao, Shaochun Chen

  2024-01-16

  DOI:10.4208/jcm.2207-m2022-0055

  26022 2212 pp. 500-543

• Error Estimates for Sparse Optimal Control Problems by Piecewise Linear Finite Element Approximation

  Xiaoliang Song, Bo Chen, Bo Yu

  2021-04-07

  DOI:10.4208/jcm.2003-m2017-0213

  41211 3297 pp. 471-492

• 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

• 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 Priori Error Estimates of a Finite Element Method for Distributed Flux Reconstruction

  Mingxia Li, Jingzhi Li, Shipeng Mao

  2018-08-22

  DOI:10.4208/jcm.1304-m4024

  36105 3860 pp. 382-397

• Convergence Analysis of Nonconforming Quadrilateral Finite Element Methods for Nonlinear Coupled Schrödinger-Helmholtz Equations

  Dongyang Shi, Houchao Zhang

  2024-04-09

  DOI:10.4208/jcm.2210-m2021-0337

  26293 1983 pp. 979-998

• Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

  Mahboub Baccouch

  2018-08-22

  DOI:10.4208/jcm.1603-m2015-0317

  36345 2844 pp. 511-531

• A Posteriori Error Estimates for Finite Element Approximations of the Cahn-Hilliard Equation and the Hele-Shaw Flow

  Xiaobing Feng, Haijun Wu

  2021-07-01

  32984 4009 pp. 767-796

• On Residual-Based a Posteriori Error Estimators for Lowest-Order Raviart-Thomas Element Approximation to Convection-Diffusion-Reaction Equations

  Shaohong Du, Xiaoping Xie

  2018-08-22

  DOI:10.4208/jcm.1403-FE4

  38765 3694 pp. 522-546

• Finite Element Methods for Sobolev Equations

  Liu Tang, Shu-Hua Zhang, J. R. Cannon, Yan-Ping Lin, Ming Rao

  2021-07-01

  32898 3803 pp. 627-642

• An Analysis of the Saturation Assumption for Polynomial Interpolation with Application to Adaptive Finite Element Methods

  Randolph E. Bank, Jinchao Xu, Harry Yserentant

  2026-03-02

  DOI:10.4208/jcm.2510-m2024-0087

  411 57 pp. 871–890

• 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

• Derivative Sampling Expansions for the Linear Canonical Transform: Convergence and Error Analysis

  Mahmoud H. Annaby, Rashad M. Asharabi

  2019-04-29

  DOI:10.4208/jcm.1806-m2017-0215

  39253 2868 pp. 403-418

• Superconvergence Analysis of a BDF-Galerkin FEM for the Nonlinear Klein-Gordon-Schrödinger Equations with Damping Mechanism

  Dongyang Shi, Houchao Zhang

  2022-11-15

  DOI:10.4208/jcm.2108-m2020-0324

  301363 3194 pp. 224-245

• Optimal and Pressure-Independent $L^2$ Velocity Error Estimates for a Modified Crouzeix-Raviart Stokes Element with BDM Reconstructions

  C. Brennecke, A. Linke, C. Merdon, J. Schöberl

  2018-08-22

  DOI:10.4208/jcm.1411-m4499

  42082 3176 pp. 191-208

• Elliptic Reconstruction and a Posteriori Error Estimates for Fully Discrete Semilinear Parabolic Optimal Control Problems

  Ram Manohar, Rajen Kumar Sinha

  2022-10-06

  DOI:10.4208/jcm.2009-m2019-0194

  38078 3045 pp. 147-176

• $ℓ^1$-Error Estimates on the Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials: A Simple Proof

  Xinchun Li

  2021-07-01

  DOI:10.4208/jcm.1701-m2016-0717

  36103 3818 pp. 814-827

• An Anisotropic Nonconforming Finite Element with Some Superconvergence Results

  DY Shi, SP Mao, SC Chen

  2005-06-02

  33855 3711 pp. 261-274

• The $L^1$-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials and Perturbed Initial Data

  Xin Wen

  2018-08-22

  DOI:10.4208/jcm.1006-m3057

  33068 3745 pp. 26-48

• 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