Search Results

• Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

  Jiyong Li

  2024-11-19

  DOI:10.4208/jcm.2310-m2022-0141

  14147 1157 pp. 280-314

• 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

• 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

• 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

• Error Reduction in Adaptive Finite Element Approximations of Elliptic Obstacle Problems

  Dietrich Braess, Carsten Carstensen, Ronald H. W. Hoppe

  2018-08-07

  33248 3417 pp. 148-169

• 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

• Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

  Gengen Zhang, Chunmei Su

  2023-12-01

  DOI:10.4208/jcm.2204-m2022-0001

  28284 2580 pp. 289-312

• 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

• Finite Element Methods for a Bi-Wave Equation Modeling D-Wave Superconductors

  Xiaobing Feng, Michael Neilan

  2018-08-22

  DOI:10.4208/jcm.1001-m1001

  33578 3634 pp. 331-353

• A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions

  Changhui Yao, Fengdan Zhang, Cheng Wang

  2024-01-16

  DOI:10.4208/jcm.2205-m2021-0234

  25647 2229 pp. 544-569

• 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

• A Second-Order in Time and Energy-Dissipative Scheme for Time-Fractional Navier-Stokes Equations

  Ruimin Gao, Dongfang Li, Hongyu Qin

  2025-11-26

  DOI:10.4208/jcm.2505-m2024-0212

  270 301

• A First-Order, Semi-Implicit, and Unconditionally Energy-Stable Scheme for an Incompressible Ferrohydrodynamics Flow

  Xiaojing Dong, Huayi Huang, Yunqing Huang

  2025-07-12

  DOI:10.4208/jcm.2402-m2023-0181

  6343 648 pp. 866-897

• 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

• 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

• 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

• A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

  Yifeng Xu, Jianguo Huang, Xuehai Huang

  2021-07-01

  DOI:10.4208/jcm.1405-m4409

  37489 4489 pp. 665-686 Open Access

• Error Estimate on a Fully Discrete Local Discontinuous Galerkin Method for Linear Convection-Diffusion Problem

  Haijin Wang, Qiang Zhang

  2018-08-22

  DOI:10.4208/jcm.1212-m4174

  36694 3694 pp. 283-307

• Convergence of Adaptive Edge Element Methods for the 3D Eddy Currents Equations

  R. H. W. Hoppe, J. Schoeberl

  2018-08-07

  DOI:10.4208/jcm.2009.27.5.016

  33918 3332 pp. 657-676

• Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation

  Fang Chen, Meng Li, Yanmin Zhao

  2024-11-21

  DOI:10.4208/jcm.2312-m2023-0185

  16295 1463 pp. 641-672

• 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

• The Exponential Scalar Auxiliary Variable Approach for the Landau-Lifshitz Equation

  Xinye Li, Sai Qi, Zhoushun Zheng

  2026-04-01

  DOI:10.4208/jcm.2512-m2025-0073

  46 35

• Finite Element Method with Superconvergence for Nonlinear Hamiltonian Systems

  Chuanmiao Chen, Qiong Tang, Shufang Ru

  2018-08-22

  DOI:10.4208/jcm.1009-m3108

  34195 3694 pp. 167-184

• From Energy Improvement to Accuracy Enhancement: Improvement of Plate Bending Elements by the Combined Hybrid Method

  Xiaoping Xie

  2004-08-02

  32923 3243 pp. 581-592

• On Discrete Energy Dissipation of Maxwell's Equations in a Cole-Cole Dispersive Medium

  Baoli Yin, Yang Liu, Hong Li, Zhimin Zhang

  2023-05-08

  DOI:10.4208/jcm.2210-m2021-0257

  28876 2489 pp. 980-1002

• Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations

  Hongjuan Zhang, Xiong Meng, Dazhi Zhang, Boying Wu

  2024-11-18

  DOI:10.4208/jcm.2307-m2022-0278

  11697 1276 pp. 63-88

• Graded Meshes for Higher Order FEM

  Hans-Görg Roos, L. Teofanov, Zorica Uzelac

  2018-08-22

  DOI:10.4208/jcm.1405-m4362

  41536 4750 pp. 1-16