A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes
type: Item
instance of: scholarly article
title: A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes
zbMATH Open document ID: 1506.65151
author: Kenneth Duru
author: Leonhard Rannabauer
author: Alice-Agnes Gabriel
author: Heiner Igel
published in: Journal of Scientific Computing
publication date: 2021-09-01T00:00:00Z
review text: The paper presents a stable and arbitrary order accurate discontinuous Galerkin (DG) method for elastic waves with a physically motivated numerical flux. The numerical flux is compatible with well-posed, internal and external, boundary conditions, including linear and nonlinear frictional constitutive equations for modeling spontaneously propagating shear ruptures in elastic solids and dynamic earthquake rupture processes. The choice of penalty parameters yields an upwind scheme and a discrete energy estimate analogous to the continuous energy estimate. A priori error estimate for the DG method is provided. Numerical experiments in one and two space dimensions verify high-order accuracy and asymptotic numerical stability. The potential of the method for modeling complex nonlinear frictional problems in elastic solids with 2D dynamically adaptive meshes and non-planar topography with 2D curvilinear elements are demonstrated.
reviewed by: Yan Xu
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35F55
Mathematics Subject Classification ID: 35F46
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 74J05
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 7389348
zbMATH Keywords: elastic wave equation
zbMATH Keywords: first order systems
zbMATH Keywords: boundary conditions
zbMATH Keywords: interface conditions
zbMATH Keywords: nonlinear friction laws
zbMATH Keywords: stability
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: spectral accuracy
zbMATH Keywords: penalty method
describes a project that uses: Peano
describes a project that uses: p4est
describes a project that uses: ExaHyPE
MaRDI profile type: Publication
full work available at URL: s10915-021-01565-1
OpenAlex ID: W3196013930
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DOI: 10.1007/S10915-021-01565-1
description: scientific article; zbMATH DE number 7389348