Search Results

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

  Chad Vidden & Jue Yan

  2021-07-01

  37526 3807 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

  36756 4816 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

  33372 3281 Pages:425-434

• Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods

  Qingguo Hong, Jinchao Xu

  2020-11-04

  48019 3127 Pages:283-310

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

  Kaifang Liu, Lunji Song, Shuangfeng Zhou

  2021-07-01

  43762 3952 Pages:866-880

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

  Junming Duan, Huazhong Tang

  2020-02-06

  41033 4261 Pages:58-83

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

  Dongfang Li & Chengjian Zhang

  2018-08-22

  34567 3328 Pages:574-588

• Dissipative Numerical Methods for the Hunter-Saxton Equation

  Yan Xu & Chi-Wang Shu

  2019-04-10

  36654 3326 Pages:606-620

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

  Yan Xu, Chi-Wang Shu

  2004-04-02

  34172 3746 Pages:250-274

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

  Gang Chen, Minfu Feng, Xiaoping Xie

  2018-08-22

  36499 2846 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

  31302 2846 Pages:111-133

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

  Fan Zhang, Jian Cheng, Tiegang Liu

  2018-09-17

  39628 2849 Pages:517-541

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

  Gary Cohen, Marc Duruflé

  2007-06-02

  33400 3761 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

  2025-11-20

  1362 62 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

  38605 3166 Pages:623-642

• C0 Discontinuous Galerkin Methods for a Plate Frictional Contact Problem

  Fei Wang, Tianyi Zhang, Weimin Han

  2018-09-10

  38359 3133 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

  41007 2977 Pages:135-158

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

  Kaifang Liu

  2025-11-26

  43 50

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

  Xudong Wang, Weihua Deng

  2021-07-01

  42740 3796 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

  41428 3184 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

  37281 4377 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

  136 31

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

  Lunji Song, Jing Zhang & Li-Lian Wang

  2018-08-22

  35386 3512 Pages:107-136

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

  Wei Cai

  2004-04-02

  33948 3417 Pages:156-167

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

  Xiaocui Li, Xiaoyuan Yang

  2018-08-22

  36218 2790 Pages:346-362

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

  Fuzheng Gao & Lin Mu

  2018-08-22

  37098 4325 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

  38693 4678 Pages:30-48