Search Results

• A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

  Chad Vidden, Jue Yan

  2021-07-01

  37744 3864 Pages:638-662

• Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

  Xiaobing Feng, Thomas Lewis

  2018-08-22

  36975 4929 Pages:107-135 Open-access

• A Unified a Posteriori Error Analysis for Discontinuous Galerkin Approximations of Reactive Transport Equations

  Ji-ming Yang, Yan-ping Chen

  2006-06-02

  33580 3340 Pages:425-434

• Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods

  Qingguo Hong, Jinchao Xu

  2020-11-04

  48248 3204 Pages:283-310

• An Over-Penalized Weak Galerkin Method for Second-Order Elliptic Problems

  Kaifang Liu, Lunji Song, Shuangfeng Zhou

  2021-07-01

  44006 4013 Pages:866-880

• An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

  Junming Duan, Huazhong Tang

  2020-02-06

  41285 4431 Pages:58-83

• Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations

  Dongfang Li, Chengjian Zhang

  2018-08-22

  34768 3377 Pages:574-588

• Dissipative Numerical Methods for the Hunter-Saxton Equation

  Yan Xu, Chi-Wang Shu

  2019-04-10

  36959 3399 Pages:606-620

• Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

  Yan Xu, Chi-Wang Shu

  2004-04-02

  34371 3824 Pages:250-274

• Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations

  Gang Chen, Minfu Feng, Xiaoping Xie

  2018-08-22

  36738 2933 Pages:549-572

• Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

  Ruihan Guo, Yan Xu

  2023-12-01

  31653 3067 Pages:111-133

• High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

  Fan Zhang, Jian Cheng, Tiegang Liu

  2018-09-17

  39823 2900 Pages:517-541

• Non Spurious Spectral-Like Element Methods for Maxwell's Equations

  Gary Cohen, Marc Duruflé

  2007-06-02

  33597 3824 Pages:282-304

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  2026-02-15

  2731 321 Pages:1-34

• Positivity-Preserving Local Discontinuous Galerkin Method for Pattern Formation Dynamical Model in Polymerizing Actin Flocks

  Xiuhui Guo, Lulu Tian, Yang Yang, Hui Guo

  2023-04-25

  38873 3219 Pages:623-642

• C0 Discontinuous Galerkin Methods for a Plate Frictional Contact Problem

  Fei Wang, Tianyi Zhang, Weimin Han

  2018-09-10

  38552 3188 Pages:184-200

• High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41309 3038 Pages:135-158

• A Simple Error Estimate of Discontinuous Galerkin Methods for Elliptic Equations with Low Regularity

  Kaifang Liu

  2025-11-26

  193 235

• Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations

  Xudong Wang, Weihua Deng

  2021-07-01

  42986 3866 Pages:839-867

• Sub-Optimal Convergence of Discontinuous Galerkin Methods with Central Fluxes for Linear Hyperbolic Equations with Even Degree Polynomial Approximations

  Yong Liu, Chi-Wang Shu, Mengping Zhang

  2021-07-05

  41685 3266 Pages:518-537

• A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

  Yifeng Xu, Jianguo Huang, Xuehai Huang

  2021-07-01

  37484 4482 Pages:665-686 Open-access

• Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes

  Waixiang Cao, Zhimin Zhang, Qingsong Zou

  2025-09-05

  570 40 Pages:843–870

• A Multi-Domain Spectral IPDG Method for Helmholtz Equation with High Wave Number

  Lunji Song, Jing Zhang, Li-Lian Wang

  2018-08-22

  35605 3565 Pages:107-136

• Numerical Methods for Maxwell's Equations in Inhomogeneous Media with Material Interfaces

  Wei Cai

  2004-04-02

  34127 3491 Pages:156-167

• Error Estimates of Finite Element Methods for Stochastic Fractional Differential Equations

  Xiaocui Li, Xiaoyuan Yang

  2018-08-22

  36463 2838 Pages:346-362

• On $L^2$ Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems

  Fuzheng Gao, Lin Mu

  2018-08-22

  37325 4386 Pages:195-204

• A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

  Jian Cheng, Kun Wang, Tiegang Liu

  2018-08-22

  38892 4793 Pages:30-48