Energy-based discontinuous Galerkin difference methods for second-order wave equations
From MaRDI portal
Publication:2163472
DOI10.1007/s42967-021-00149-yOpenAlexW3203424473MaRDI QIDQ2163472
Daniel Appelö, Lu Zhang, Thomas M. Hagstrom
Publication date: 10 August 2022
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.01722
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices
- Review of summation-by-parts schemes for initial-boundary-value problems
- Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media
- Upwind schemes for the wave equation in second-order form
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- An analysis of the discontinuous Galerkin method for wave propagation problems
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- Summation by parts operators for finite difference approximations of second derivatives
- An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form
- An energy-based discontinuous Galerkin method for semilinear wave equations
- Robust approaches to handling complex geometries with Galerkin difference methods
- Discontinuous Galerkin difference methods for symmetric hyperbolic systems
- Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods
- On Galerkin difference methods
- Direct solution of partial difference equations by tensor product methods
- Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
- A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
- An improved incomplete Cholesky factorization
- Weight-Adjusted Discontinuous Galerkin Methods: Curvilinear Meshes
- Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media
- Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form
- An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection
- Discontinuous Galerkin Finite Element Method for the Wave Equation
