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

• 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

• 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

• 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

• 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 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

• Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations

  Ang Ge, Jinye Shen, Lijun Yi

  2024-11-18

  DOI:10.4208/jcm.2308-m2023-0075

  11698 1363 pp. 89-120

• A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself

  Yazid Dendani, Radouen Ghanem

  2023-04-25

  DOI:10.4208/jcm.2110-m2021-0131

  39954 3321 pp. 717-740

• 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

• On the Anisotropic Accuracy Analysis of ACM's Nonconforming Finite Element

  DY Shi, SP Mao, SC Chen

  2021-07-01

  31864 3475 pp. 635-646

• 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

• Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain

  Pratibha Shakya

  2024-11-13

  DOI:10.4208/jcm.2305-m2022-0215

  11867 1152 pp. 1579-1604

• 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

• Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation

  Yuan Li, Xuewei Cui

  2022-11-15

  DOI:10.4208/jcm.2107-m2020-0243

  302017 3268 pp. 211-223

• Superconvergence Analysis of Finite Element Methods for Optimal Control Problems of the Stationary Bénard Type

  Yanzhen Chang, Danping Yang

  2018-08-07

  32646 3702 pp. 660-676

• A Characteristic Finite Element Method for Constrained Convection-Diffusion-Reaction Optimal Control Problems

  Hongfei Fu, Hongxing Rui, Hui Guo

  2018-08-22

  DOI:10.4208/jcm.1210-m3966

  36695 4427 pp. 88-106

• 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

• Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid

  Libin Liu, Yanping Chen, Ying Liang

  2022-10-06

  DOI:10.4208/jcm.2008-m2020-0063

  37705 3135 pp. 258-274

• 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

• Sharp Error Estimate of Variable Time-Step Imex BDF2 Scheme for Parabolic Integro-Differential Equations with Initial Singularity Arising in Finance

  Chengchao Zhao, Ruoyu Yang, Yana Di, Jiwei Zhang

  2025-09-28

  DOI:10.4208/jcm.2406-m2023-0095

  5190 477 pp. 1118-1140

• Finite Element Analysis of Optimal Control Problem Governed by Stokes Equations with $L^2$-Norm State-Constraints

  Haifeng Niu, Danping Yang

  2018-08-22

  DOI:10.4208/jcm.1103-m3514

  34615 3417 pp. 589-604

• Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

  Lingling Zhou, Wenhua Chen, Ruihan Guo

  2026-02-15

  DOI:10.4208/jcm.2410-m2024-0092

  2567 254 pp. 286-306

• Serendipity Virtual Element Method for the Second Order Elliptic Eigenvalue Problem in Two and Three Dimensions

  Haokun Li, Yulin Liu, Jian Meng, Xu Qian

  2026-01-20

  DOI:10.4208/jcm.2508-m2024-0265

  160 178

• 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

• On the Finite Volume Element Version of Ritz-Volterra Projection and Applications to Related Equations

  Tie Zhang, Yan-Ping Li, Robert J. Tait

  2002-10-02

  33360 3718 pp. 491-504

• Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems

  Haijin Wang, Anping Xu, Qi Tao

  2023-12-01

  DOI:10.4208/jcm.2202-m2021-0290

  29402 3060 pp. 1-23