Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media-Reference-Cited by-同舟云学术

Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

Published:2014-09 Issue: Volume:272 Page:88-107
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Chou Ching-Shan,Shu Chi-Wang,Xing Yulong

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference46 articles.

1. A discontinuous Galerkin method for the wave equation;Adjerid;Comput. Methods Appl. Mech. Eng.,2011

2. A numerical approach to space–time finite elements for the wave equation;Anderson;J. Comput. Phys.,2007

3. Numerical methods for solid mechanics on overlapping grids: linear elasticity;Appelö;J. Comput. Phys.,2012

4. A stable finite difference method for the elastic wave equation on complex geometries with free surfaces;Appelö;Commun. Comput. Phys.,2009

5. A local discontinuous Galerkin method for the second-order wave equation;Baccouch;Comput. Methods Appl. Mech. Eng.,2012

Cited by 64 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Convergence Analysis for the Wave Equation Discretized with Hybrid Methods in Space (HHO, HDG and WG) and the Leapfrog Scheme in Time;Journal of Scientific Computing;2024-08-13

2. Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations;Communications in Computational Physics;2024-06

3. Numerical simulation of supersonic sea-skimming flight based on discontinuous Galerkin method with adaptive mesh refinement framework;Physics of Fluids;2023-12-01

4. Stability analysis and error estimates of implicit Runge-Kutta local discontinuous Galerkin methods for linear bi-harmonic equation;Computers & Mathematics with Applications;2023-11

5. L2 estimates for weak Galerkin finite element methods for second-order wave equations with polygonal meshes;Applied Numerical Mathematics;2023-10