Search Results

• Some Weighted Averaging Methods for Gradient Recovery

  Yunqing Huang, Kai Jiang, Nianyu Yi

  2018-08-10

  DOI:10.4208/aamm.10-m1188

  42518 4538 pp. 131-155

• Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

  Changhui Yao, Yanfei Li

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0371

  43564 3212 pp. 481-502

• Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation

  Dongdong Hu, Haorong Huang, Yayun Fu, Minghua Chen

  2025-12-22

  DOI:10.4208/aamm.OA-2025-0003

  1309 100 pp. 1503-1530

• A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

  Tiao Lu, Xingchun Yu, Wenqi Yao

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0234

  4274 145 pp. 961-987

• Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

  Jinhua Lu

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0128

  7272 386 pp. 1715-1741

• A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities

  Ming Li, Jingzhi Li, Ralph Martin, Kai Zhang

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0204

  44372 3186 pp. 870-889

• A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

  Nan Wang, Jinru Chen

  2020-06-01

  DOI:10.4208/aamm.OA-2018-0252

  48300 3556 pp. 879-901

• An Adaptive Finite Element Solver for Demagnetization Field Calculation

  Lei Yang, Guanghui Hu

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0236

  48880 3322 pp. 1048-1063

• Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes

  Haiyun Wang, Zhen Gao, Haijin Wang, Qiang Zhang, Hongqiang Zhu

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0314

  11425 766 pp. 1014-1036

• Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

  Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu

  2018-05-05

  DOI:10.4208/aamm.2014.m459

  41650 3159 pp. 236-256

• An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces

  Weidong Shi, Jianjun Xu, Shi Shu

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0052

  42921 3883 pp. 1364-1382

• An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains

  Kejia Pan, Dongdong He, Chuanmiao Chen

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0019

  43106 3904 pp. 1347-1363

• A Simple Implementation of the Semi-Lagrangian Level-Set Method

  Weidong Shi, Jian-Jun Xu, Shi Shu

  2018-05-05

  DOI:10.4208/aamm.2015.m1305

  43660 4665 pp. 104-124

• A Meshfree Technique for Numerical Simulation of Reaction-Diffusion Systems in Developmental Biology

  Zahra Jannesari, Mehdi Tatari

  2018-05-05

  DOI:10.4208/aamm.2015.m1085

  45233 3083 pp. 1225-1249

• Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

  Luoping Chen, Yanping Chen

  2014-06-01

  DOI:10.4208/aamm.12-m12130

  43882 4752 pp. 203-219

• A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

  Hongqiang Lu, Qiang Sun

  2014-06-01

  DOI:10.4208/aamm.2013.m-s1

  44756 5038 pp. 135-144

• A Finite Volume Method Based on the Constrained Nonconforming Rotated Q1-Constant Element for the Stokes Problem

  Jing Qi, Wanfu Tian, Yonghai Li

  2012-04-01

  DOI:10.4208/aamm.11-m1156

  43068 4753 pp. 46-71

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2022-01-24

  DOI:10.4208/aamm.OA-2020-0257

  41565 3305 pp. 415-441

• Entropy Generation Analysis around Airfoil Using Multi-Block Lattice Boltzmann Method

  Wei Wang, Jun Wang, Zhiang Li, Zhiliang Lin

  2022-02-25

  DOI:10.4208/aamm.OA-2020-0340

  46693 3418 pp. 777-798

• An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

  Huanying Bian, Yedan Shen, Guanghui Hu

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0218

  49745 4057 pp. 1418-1440

• Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method

  Fen Chen, Bin Zheng, Ji Lin, Wen Chen

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0188

  51206 4579 pp. 163-175

• Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

  Zhikun Tian, Yanping Chen, Jianyun Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0156

  45152 3163 pp. 468-484

• A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

  Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0085

  27149 2570 pp. 181-207

• High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation

  Futuan Li, Hongwei Li, Tao Tang, Jiang Yang

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0232

  1142 235 pp. 1355-1388

• Two $P_4$ Nonconforming Finite Elements for the Biharmonic Equation on Rectangular Meshes

  Youai Li, Shangyou Zhang

  2026-08-01

  DOI:10.4208/aamm.OA-2025-0165

  796 95 pp. 1142-1154

• A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

  Xiaohua Zhang, Shengfeng Wang

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0261

  5091 270 pp. 482-518

• Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

  Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0317

  5411 474 pp. 134-169