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

• 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

• Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations

  Kapil Kant, Moumita Mandal, Gnaneshwar Nelakanti

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0163

  45563 3286 pp. 1227-1260

• 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

• Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

  Heng Cheng, Dongqiong Liang, Fengbin Liu

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0238

  1056 125 pp. 1120-1141

• 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 Galerkin-Characteristic Finite Element Method for Three-Dimensional Convection-Dominated Problems

  Bassou Khouya, Mofdi El-Amrani, Mohammed Seaid

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0105

  54708 3340 pp. 503-526

• 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 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

• 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

• An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

  Fuzheng Gao, Shangyou Zhang

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0290

  13222 1219 pp. 538-553

• $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

  Yiying Wang, Yongkui Zou, Shimin Chai

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0020

  47914 3259 pp. 554-568

• Modified Galerkin Method for Derivative Dependent Fredholm–Hammerstein Integral Equations of Second Kind

  Kapil Kant, Payel Das, Gnaneshwar Nelakanti, Ratish Kumar

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0277

  25716 2388 pp. 905-926

• A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

  Yue Zhou, Hang Xu

  2023-04-11

  DOI:10.4208/aamm.OA-2022-0046

  37755 3155 pp. 964-983

• A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

  Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0222

  45784 3206 pp. 1069-1089

• 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

• 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 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

• A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

  Tao Zhang, Xiaolin Li

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0019

  27099 2698 pp. 24-46

• 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

• Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels

  Gobinda Rakshit

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0004

  14440 1521 pp. 175-206

• Nonlinear Vibration Analysis of Functionally Graded Nanobeam Using Homotopy Perturbation Method

  Majid Ghadiri, Mohsen Safi

  2018-05-05

  DOI:10.4208/aamm.2015.m899

  43803 4689 pp. 144-156

• 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

• 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 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

• 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 Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations

  Yue Feng, Yujie Liu, Ruishu Wang, Shangyou Zhang

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0325

  50729 4396 pp. 181-201