On a family of discontinuous Galerkin fully-discrete schemes for the wave equation
From MaRDI portal
Publication:1983887
DOI10.1007/s40314-021-01423-8zbMath1476.65301OpenAlexW3129615298MaRDI QIDQ1983887
Fei Wang, Weimin Han, Limin He
Publication date: 10 September 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01423-8
wave equationdiscontinuous Galerkin methodsoptimal order error estimatesfully discrete approximation
Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Optimal error estimates for the fully discrete interior penalty DG method for the wave equation
- A discontinuous Galerkin method for the wave equation
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- A priori estimates for mixed finite element methods for the wave equation
- Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
- Optimal order error estimates for discontinuous Galerkin methods for the wave equation
- Plasticity. Mathematical theory and numerical analysis.
- Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24--26, 1999
- Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
- Discontinuous Galerkin methods for solving a quasistatic contact problem
- Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
- Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
- Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
- Discontinuous Galerkin methods for solving the Signorini problem
- Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Time Compact High Order Difference Methods for Wave Propagation
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
- Difference Approximations for the Second Order Wave Equation
- A continuous space-time finite element method for the wave equation
- Analysis of a numerical solver for radiative transport equation
- C<sup>0</sup> Discontinuous Galerkin Methods for a Plate Frictional Contact Problem
- Combined DG--CG Time Stepping for Wave Equations
- Discontinuous Galerkin Finite Element Method for the Wave Equation
