Boundary Estimates for the Elastic Wave Equation in Almost Incompressible Materials

DOI10.1137/110832847zbMath1258.35141arXiv1105.0455OpenAlexW2009154776MaRDI QIDQ2903050

N. Anders Petersson, Heinz-Otto Kreiss

Publication date: 23 August 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0455

zbMATH Keywords

finite difference methodnormal mode analysiselastic wave propagationsurface wavegrid points per wave length

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Surface waves in solid mechanics (74J15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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Interface waves in almost incompressible elastic materials ⋮ Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form ⋮ A High Order Finite Difference Method for the Elastic Wave Equation in Bounded Domains with Nonconforming Interfaces ⋮ Compatible diagonal-norm staggered and upwind SBP operators ⋮ Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators ⋮ Acoustic wave propagation in complicated geometries and heterogeneous media ⋮ An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form ⋮ Galerkin differences for acoustic and elastic wave equations in two space dimensions ⋮ Stable and high order accurate difference methods for the elastic wave equation in discontinuous media

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