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• Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

  Yuping Li, Hui Liang, Huifang Yuan

  2025-05-12

  8688 556 Pages:1111-1132

• 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

  47508 3300 Pages:725-758

• 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

  41999 4643 Pages:353-385 Open-access

• 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

  41694 3985 Pages:301-318

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

  Shujie Li, Lili Ju

  2023-02-24

  37871 3241 Pages:814-830

• A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation

  Ruo Li, Fanyi Yang

  2023-06-21

  38435 3247 Pages:1109-1141

• 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

  40902 3798 Pages:319-340

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

  Shu-Jie Li, Lili Ju

  2025-03-14

  11299 776 Pages:758-777

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

  Hongqiang Zhu, Yue Cheng, Jianxian Qiu

  2013-05-01

  46672 4882 Pages:365-390

• A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems

  Yanli Chen, Tie Zhang, Ying Sheng

  2024-05-14

  24961 2453 Pages:860-877

• Waves Induced by the Appearance of Single-Point Heat Source in Constant Flow

  Changsheng Yu, Tiegang Liu & Chengliang Feng

  2022-04-11

  44229 3591 Pages:989-1016

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

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

  2018-09-17

  44686 3190 Pages:652-672

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

  Hongling Hu, Chuanmiao Chen

  2018-05-05

  42627 3138 Pages:323-337

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

  Na Zhu, Hongxing Rui

  2025-03-14

  11336 806 Pages:909-921

• A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

  Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song

  2019-01-04

  47547 5123 Pages:53-71

• Shock Profiles for the Shallow-Water Exner Models

  C. Berthon, B. Boutin, R. Turpault

  2018-05-05

  43262 3158 Pages:267-294

• 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

  38366 3339 Pages:932-963

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

  Vitoriano Ruas, José Henrique Carneiro De Araujo

  2018-11-01

  39625 3687 Pages:303-332

• Transient Waves Due to Mechanical Loads in Elasto-Thermo-Diffusive Solids

  J. N. Sharma, N. K. Sharma, K. K. Sharma

  2011-03-01

  41752 4709 Pages:87-108

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

  Dong Liu, Weihua Deng

  2025-05-12

  8531 547 Pages:1204-1238

• An EDG Method for Distributed Optimal Control of Elliptic PDEs

  Xiao Zhang, Yangwen Zhang, John Singler

  2018-09-17

  47031 3577 Pages:797-818

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

  Samir Karaa

  2018-08-10

  41929 4176 Pages:181-203

• 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

  13367 1237 Pages:407-439

• Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

  Yingxiong Xiao, Heng Chen and Lingjie Xie

  2021-07-01

  48052 4222 Pages:1376-1397