Search Results

• The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

  Di Li, Min Liu, Xiliang Lu, Jerry Zhijian Yang

  2022-10-24

  DOI:10.4208/aamm.OA-2022-0008

  45215 4042 pp. 30-48

• A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems

  Zhiyuan Sun, Jun Liu, Pei Wang

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0193

  45729 3361 pp. 729-747

• A Residual Distribution Method Using Discontinuous Elements for the Computation of Possibly Non Smooth Flows

  Rémi Abgrall

  2010-02-01

  DOI:10.4208/aamm.09-m0934

  43083 4957 pp. 32-44

• A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

  Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0099

  48011 4851 pp. 216-240

• A Modified Weak Galerkin Method for Stokes Equations

  Li Zhang, Minfu Feng, Jian Zhang

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0138

  43924 3265 pp. 890-910

• Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

  Shicheng Liu, Xiangyun Meng, Qilong Zhai

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0150

  5003 468 pp. 348-368

• A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field

  Shijun Zou, Xijun Yu, Zihuan Dai, Fang Qing, Xiaolong Zhao

  2023-04-11

  DOI:10.4208/aamm.OA-2021-0366

  38479 3382 pp. 932-963

• A Family of Methods of the DG-Morley Type for Polyharmonic Equations

  Vitoriano Ruas, José Henrique Carneiro De Araujo

  2018-11-01

  DOI:10.4208/aamm.09-m0953

  39733 3760 pp. 303-332

• Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

  Pu Song, Shuyu Sun

  2012-04-01

  DOI:10.4208/aamm.10-m1108

  42404 4769 pp. 389-421

• A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods

  Hongqiang Zhu, Wenxiu Han, Haijin Wang

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0149

  49578 3354 pp. 1224-1246

• Implicit DG Method for Time Domain Maxwell's Equations Involving Metamaterials

  Jiangxing Wang, Ziqing Xie, Chuanmiao Chen

  2021-07-01

  DOI:10.4208/aamm.2014.m725

  43056 4236 pp. 796-817

• A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates

  Jun Hu, Yunqing Huang

  2021-07-01

  DOI:10.4208/aamm.11-m1111

  40908 4224 pp. 649-662

• A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

  Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0060

  47613 5427 pp. 1-21

• A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

  Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun

  2018-05-05

  DOI:10.4208/aamm.2014.m642

  44541 4769 pp. 104-116

• Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

  Shu-Jie Li, Lili Ju

  2025-03-14

  DOI:10.4208/aamm.OA-2024-0023

  11463 818 pp. 758-777

• Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

  Dong Liu, Weihua Deng

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0015

  8722 593 pp. 1204-1238

• On Convergence and Superconvergence of Discontinuous Galerkin Method for Semi-Explicit Index-1 Integro-Differential Algebraic Equations

  Haiyan Zhang, Hui Liang

  2025-09-29

  DOI:10.4208/aamm.OA-2025-0147

  7223 364 pp. 1867-1894

• An EDG Method for Distributed Optimal Control of Elliptic PDEs

  Xiao Zhang, Yangwen Zhang, John Singler

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0223

  47147 3622 pp. 797-818

• Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction

  Shujie Li, Lili Ju

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0359

  37992 3275 pp. 814-830

• Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations

  Hongling Hu, Chuanmiao Chen

  2018-05-05

  DOI:10.4208/aamm.2014.m615

  42726 3172 pp. 323-337

• Finite Element $θ$-Schemes for the Acoustic Wave Equation

  Samir Karaa

  2018-08-10

  DOI:10.4208/aamm.10-m1018

  42058 4265 pp. 181-203

• Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem

  Na Zhu, Hongxing Rui

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0268

  11499 852 pp. 909-921

• A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

  Xi Zhang, Minfu Feng

  2022-04-11

  DOI:10.4208/aamm.OA-2020-0346

  45574 3681 pp. 936-959

• Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

  Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0186

  45019 3173 pp. 1191-1226

• Three Indication Variables and Their Performance for the Troubled-Cell Indicator Using K-Means Clustering

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

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0234

  38737 3021 pp. 522-544

• LWDG Method for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

  Tiantian Sun, Jianxian Qiu

  2018-08-10

  40769 4131 pp. 438-450

• 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