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

  Zhiyuan Sun, Jun Liu, Pei Wang

  2020-04-10

  45468 3299 Pages:729-747

• 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

  38866 3471 Pages:545-567

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

  Rémi Abgrall

  2010-02-01

  42811 4884 Pages: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

  47772 4718 Pages:216-240

• A Modified Weak Galerkin Method for Stokes Equations

  Li Zhang, Minfu Feng, Jian Zhang

  2019-06-24

  43704 3188 Pages: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

  2025-10-14

  4232 265 Pages:348-368

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

  Jiangxing Wang, Ziqing Xie, Chuanmiao Chen

  2021-07-01

  42843 4153 Pages:796-817

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

  Shujie Li, Lili Ju

  2023-02-24

  37719 3196 Pages:814-830

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

  Jun Hu, Yunqing Huang

  2021-07-01

  40722 4112 Pages:649-662

• 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

  38225 3299 Pages:932-963

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

  Pu Song, Shuyu Sun

  2012-04-01

  42171 4619 Pages:389-421

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

  Vitoriano Ruas, José Henrique Carneiro De Araujo

  2018-11-01

  39498 3634 Pages:303-332

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

  Haiyan Zhang, Hui Liang

  2025-09-29

  5000 251 Pages:1867-1894

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

  Dong Liu, Weihua Deng

  2025-05-12

  8299 493 Pages:1204-1238

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

  Hongqiang Zhu, Wenxiu Han, Haijin Wang

  2020-07-24

  49335 3287 Pages:1224-1246

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

  Shu-Jie Li, Lili Ju

  2025-03-14

  11078 722 Pages:758-777

• An EDG Method for Distributed Optimal Control of Elliptic PDEs

  Xiao Zhang, Yangwen Zhang, John Singler

  2018-09-17

  46909 3541 Pages:797-818

• 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

  47338 5285 Pages: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

  44347 4626 Pages:104-116

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

  Hongling Hu, Chuanmiao Chen

  2018-05-05

  42511 3113 Pages:323-337

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

  Xi Zhang & Minfu Feng

  2022-04-11

  45286 3596 Pages:936-959

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

  Na Zhu, Hongxing Rui

  2025-03-14

  11121 765 Pages:909-921

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

  Samir Karaa

  2018-08-10

  41812 4130 Pages:181-203

• Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

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

  2018-09-17

  44679 3089 Pages: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

  38460 2944 Pages:522-544

• 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

  11037 665 Pages:1014-1036

• Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows

  Xiaotao Zhang, Tiegang Liu, Fan Zhang, Zhiqiang Zeng, Chengliang Feng

  2024-12-31

  13167 1189 Pages:407-439