Stable Difference Approximations for the Elastic Wave Equation in Second Order Formulation

DOI10.1137/060663520zbMath1158.65064OpenAlexW2056994633MaRDI QIDQ3532588

Stefan Nilsson, N. Anders Petersson, Bjorn Sjogreen, Heinz-Otto Kreiss

Publication date: 28 October 2008

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

Full work available at URL: https://semanticscholar.org/paper/1f10833742c6bce7c1da9dad8a3291e2c9e0e931

zbMATH Keywords

stabilitynumerical examplesfinite differencesenergy estimateseismic wave propagationElastic wave equationsecond order hyperbolic systems

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Seismology (including tsunami modeling), earthquakes (86A15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20) Initial value problems for second-order hyperbolic equations (35L15)

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