Search Results

• A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

  Nouh Izem, Mohammed Seaid

  2022-02-25

  DOI:10.4208/aamm.OA-2020-0364

  47635 3331 pp. 725-758

• A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids

  Hong Luo, Luqing Luo, Kun Xu

  2018-08-10

  41803 4062 pp. 301-318

• Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

  Yuping Li, Hui Liang, Huifang Yuan

  2025-05-12

  DOI:10.4208/aamm.OA-2024-0008

  8930 602 pp. 1111-1132

• The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

  Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu

  2018-08-10

  41014 3886 pp. 319-340

• A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

  Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu

  2021-07-01

  DOI:10.4208/aamm.OA-2019-0220

  48286 4107 pp. 1416-1437

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  DOI:10.4208/aamm.2014.m811

  42130 4759 pp. 353-385 Open Access

• 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 Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms

  Fuzheng Gao, Xiu Ye, Shangyou Zhang

  2022-01-24

  DOI:10.4208/aamm.OA-2020-0247

  42302 3424 pp. 299-314

• A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

  Jiansong Zhang, Jiang Zhu, Danping Yang

  2018-08-04

  DOI:10.4208/aamm.2015.m1026

  42349 3093 pp. 651-666

• Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

  Haitian Lu, Jun Zhu, Chunwu Wang, Ning Zhao

  2018-05-05

  DOI:10.4208/aamm.2015.m1070

  44663 5415 pp. 73-91

• An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

  Hui Sun, Lulu Tian, Hui Guo

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0326

  11540 850 pp. 888-908

• A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model

  Xiuli Wang, Qilong Zhai, Xiaoshen Wang

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0115

  45451 3420 pp. 360-380

• Robust and Globally Divergence-Free Weak Galerkin Methods for Oseen Equations

  Lingxia Kong, Ya Min, Minfu Feng, Xiaoyu Fu

  2026-04-01

  DOI:0.4208/aamm.OA-2024-0089

  5020 247 pp. 411-433

• 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 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 Posteriori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Kind of Compressible Miscible Displacement Problems

  Jiming Yang, Zhiguang Xiong

  2013-05-01

  DOI:10.4208/aamm.11-m1140

  42034 4484 pp. 163-179

• A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems

  Yanli Chen, Tie Zhang, Ying Sheng

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0108

  25102 2506 pp. 860-877

• 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 Discontinuous Galerkin Method with Minimal Dissipation for a Finite-Strain Plate

  Qiao Kang, Yan Xu

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0388

  45810 3271 pp. 1027-1063

• 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

• A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

  Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0004

  46724 4819 pp. 261-274 Open Access

• Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

  Leilei Wei, Yinnian He, Xindong Zhang

  2018-05-05

  DOI:10.4208/aamm.2013.m220

  41748 3170 pp. 510-527

• Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

  Danni Zhang, Ruihan Guo

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0204

  39136 3550 pp. 545-567

• 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

• Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

  Jichun Li

  2018-08-10

  43171 4776 pp. 107-124

• 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