Search Results

• 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 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

• 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 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

• 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 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

• 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

• 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

• 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 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 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

• Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations

  Kun Jiang, Qiumei Huang, Xiuxiu Xu

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0116

  48703 5189 pp. 189-211

• A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods

  Hongqiang Zhu, Yue Cheng, Jianxian Qiu

  2013-05-01

  DOI:10.4208/aamm.2012.m22

  46775 4957 pp. 365-390

• 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

• Adjoint-Based Adaptive Isogeometric Discontinuous Galerkin Method for Euler Equations

  Shengjiao Yu, Renzhong Feng, Huiqiang Yue, Zheng Wang, Tiegang Liu

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0046

  44800 3234 pp. 652-672

• Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem

  Jiajun Zhan, Liuqiang Zhong, Jie Peng

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0257

  41172 3104 pp. 450-467

• High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

  Hongqiang Lu, Kai Cao, Lechao Bian, Yizhao Wu

  2018-05-05

  DOI:10.4208/aamm.2014.m618

  41900 2983 pp. 693-702

• Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

  Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0217

  26815 2435 pp. 208-236

• 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

• 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

• 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

• 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 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