An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form
From MaRDI portal
Publication:1986211
DOI10.1016/j.cma.2018.04.014zbMath1440.74372OpenAlexW3099782930MaRDI QIDQ1986211
Daniel Appelö, Thomas M. Hagstrom
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2018.04.014
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Linear waves in solid mechanics (74J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (15)
An energy-based discontinuous Galerkin method for semilinear wave equations ⋮ Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods ⋮ An energy-based summation-by-parts finite difference method for the wave equation in second order form ⋮ A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form ⋮ Energy-based discontinuous Galerkin difference methods for second-order wave equations ⋮ A symplectic finite element method based on Galerkin discretization for solving linear systems ⋮ Convergence analysis of an energy based discontinuous Galerkin method for the wave equation in second-order form: \( h p\) version ⋮ A MultiOrder Discontinuous Galerkin Monte Carlo Method for Hyperbolic Problems with Stochastic Parameters ⋮ WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation ⋮ Symplectic Hamiltonian finite element methods for linear elastodynamics ⋮ Galerkin differences for acoustic and elastic wave equations in two space dimensions ⋮ DG_DATH_ELASTIC_V1.0 ⋮ Hermite-discontinuous Galerkin overset grid methods for the scalar wave equation ⋮ An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection ⋮ El-WaveHoltz: a time-domain iterative solver for time-harmonic elastic waves
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical methods for solid mechanics on overlapping grids: linear elasticity
- A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
- Multi-field spacetime discontinuous Galerkin methods for linearized elastodynamics
- Nodal discontinuous Galerkin methods on graphics processors
- Space-time finite element methods for elastodynamics: Formulations and error estimates
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- A fourth order accurate finite difference scheme for the elastic wave equation in second order formulation
- A stochastic collocation method for the second-order wave equation with a discontinuous random speed
- A space-time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance
- Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem
- Initial-boundary value problems for second order systems of partial differential equations
- A Low-Storage Curvilinear Discontinuous Galerkin Method for Wave Problems
- Boundary Estimates for the Elastic Wave Equation in Almost Incompressible Materials
- A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
- Implementing Spectral Methods for Partial Differential Equations
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Finite Volume Methods for Hyperbolic Problems
- A Practical Guide to Pseudospectral Methods
- Stable and High-Order Accurate Boundary Treatments for the Elastic Wave Equation on Second-Order Form
- A high-order Discontinuous Galerkin method for the seismic wave propagation
This page was built for publication: An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form
