Search Results

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  DOI:10.4208/cicp.OA-2025-0130

  797 159 pp. 1027-1058

• A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques

  Jiachuan Zhang, Ran Zhang, Xiaoshen Wang

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0207

  38944 3238 pp. 511-537

• Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2018-07-03

  DOI:10.4208/cicp.OA-2016-0226

  46428 5094 pp. 168-197

• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

  Hong-Lin Liao, William McLean, Jiwei Zhang

  2021-05-25

  DOI:10.4208/cicp.OA-2020-0124

  54958 3612 pp. 567-601

• An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

  Jian Cheng, Shengjiao Yu, Huiqiang Yue, Tiegang Liu

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0070

  47135 3261 pp. 855-879

• An Edge-Based Anisotropic Mesh Refinement Algorithm and Its Application to Interface Problems

  Duan Wang, Ruo Li, Ningning Yan

  2010-08-01

  DOI:10.4208/cicp.210709.121109a

  41422 4100 pp. 511-540

• An $hp$-Adaptive Minimum Action Method Based on a Posteriori Error Estimate

  Xiaoliang Wan, Bin Zheng, Guang Lin

  2018-08-21

  DOI:10.4208/cicp.OA-2017-0025

  47024 3166 pp. 408-439

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  DOI:10.4208/cicp.OA-2021-0211

  45822 3323 pp. 1007-1038

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0191

  70604 3843 pp. 1707-1745

• A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions

  Mingjie Liao, Ping Lin, Lei Zhang

  2020-03-06

  DOI:10.4208/cicp.OA-2018-0169

  51818 5194 pp. 198-226

• A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes

  Hengguang Li, Lin Mu, Xiu Ye

  2019-04-04

  DOI:10.4208/cicp.OA-2018-0058

  46991 3384 pp. 558-578

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0074

  47424 3536 pp. 905-929

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  DOI:10.4208/cicp.150215.250515a

  39775 3261 pp. 1380-1416

• An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems

  Yanli Chen, Peijun Li, Xiaokai Yuan

  2021-03-24

  DOI:10.4208/cicp.OA-2020-0115

  46149 3319 pp. 1505-1540

• Local Error Analysis and Comparison of the Swept- and Intersection-Based Remapping Methods

  Matej Klima, Milan Kucharik, Mikhail Shashkov

  2018-04-08

  DOI:10.4208/cicp.OA-2015-0021

  41701 3297 pp. 526-558

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  DOI:10.4208/cicp.OA-2024-0256

  6599 519 pp. 684-710

• Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

  Dongfang Li, Waixiang Cao, Chengjian Zhang, Zhimin Zhang

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0208

  48716 3392 pp. 838-854

• Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model

  Mingbo Zhou, Rui Li, Wenjing Yan, Zhangxin Chen

  2025-04-27

  DOI:10.4208/cicp.OA-2023-0217

  9306 598 pp. 1008-1054

• A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes

  Yanlong Zhang

  2023-08-14

  DOI:10.4208/cicp.OA-2022-0307

  34657 3418 pp. 116-131

• A Conformal Energy-Conserved Method for Maxwell's Equations with Perfectly Matched Layers

  Chaolong Jiang, Jin Cui, Yushun Wang

  2018-09-01

  DOI:10.4208/cicp.OA-2017-0219

  46142 5278 pp. 84-106

• A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

  Kaixin Wang, Hong Wang, Mohamed Al-Lawatia, Hongxing Rui

  2009-06-01

  205 160 pp. 203-230

• An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings

  Jie Chen, Desheng Wang, Haijun Wu

  2018-03-24

  37509 3837 pp. 290-318

• Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

  Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang

  2020-07-21

  DOI:10.4208/cicp.OA-2019-0099

  48431 3334 pp. 927-966

• A Priori and a Posteriori Error Estimates for H(div)-Elliptic Problem with Interior Penalty Method

  Yuping Zeng, Jinru Chen

  2013-09-05

  DOI:10.4208/cicp.040412.071112a

  39525 4106 pp. 753-779

• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

  Yong Zhang

  2013-05-05

  DOI:10.4208/cicp.251011.270412a

  41129 4168 pp. 1357-1388

• A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient

  Jinhui Zhou, Yongkui Zou, Boyu Wang

  2026-02-15

  DOI:10.4208/cicp.OA-2025-0126

  4063 234 pp. 615-634

• A Study of Source Term Estimators in Coupled Finite-Volume/Monte-Carlo Methods with Applications to Plasma Edge Simulations in Nuclear Fusion: Track-Length and Next-Event Methods

  Bert Mortier, Martine Baelmans, Giovanni Samaey

  2024-12-02

  DOI:10.4208/cicp.OA-2023-0224

  16270 1153 pp. 1186-1218