A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation

DOI10.1016/j.camwa.2021.08.003OpenAlexW3196174831MaRDI QIDQ2234874

Jesse Chan, Khemraj Shukla, Maarten V. de Hoop

Publication date: 19 October 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01529

zbMATH Keywords

wave propagationunstructured meshesdiscontinuous Galerkinenergy stabilityviscoelastic

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Wave scattering in solid mechanics (74J20) Seismology (including tsunami modeling), earthquakes (86A15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Numerical analysis of variable-order fractional KdV-Burgers-Kuramoto equation ⋮ A Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic Equation ⋮ Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
• GPU-accelerated discontinuous Galerkin methods on hybrid meshes
• Nodal discontinuous Galerkin methods on graphics processors
• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Domain decomposition for wave propagation problems
• Spectral element method for acoustic wave simulation in heterogeneous media
• On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: penalty fluxes and micro-heterogeneities
• A rigorous and unified mass lumping scheme for higher-order elements
• Computational Seismology
• A Low-Storage Curvilinear Discontinuous Galerkin Method for Wave Problems
• The generation of waves in an infinite elastic solid by variable body forces
• EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS
• Wave propagation in anisotropic linear viscoelastic media: theory and simulated wavefields
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Finite Volume Methods for Hyperbolic Problems
• Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media
• The Finite-Difference Modelling of Earthquake Motions

This page was built for publication: A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation