A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes

DOI10.1007/s10915-021-01565-1zbMath1506.65151OpenAlexW3196013930MaRDI QIDQ2051057

Heiner Igel, Kenneth Duru, Alice-Agnes Gabriel, Leonhard Rannabauer

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01565-1

zbMATH Keywords

stabilityboundary conditionsdiscontinuous Galerkin methodelastic wave equationpenalty methodinterface conditionsspectral accuracyfirst order systemsnonlinear friction laws

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Brittle fracture (74R10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear waves in solid mechanics (74J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74) Initial value problems for systems of nonlinear first-order PDEs (35F55) Initial-boundary value problems for systems of linear first-order PDEs (35F46)

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Uses Software

• p4est
• Peano
• ExaHyPE

Cites Work

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