Double Absorbing Boundary Formulations for Acoustics and Elastodynamics

DOI10.1137/130928728zbMath1300.76019OpenAlexW2080590997MaRDI QIDQ2878953

Daniel Baffet, Dan Givoli, Thomas M. Hagstrom

Publication date: 5 September 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130928728

zbMATH Keywords

stabilityabsorbing boundary conditionelastodynamicsfinite differenceacoustic waveselastic wavesdouble absorbing boundary

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) 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) Hydro- and aero-acoustics (76Q05) Initial-boundary value problems for first-order hyperbolic systems (35L50) PDEs in connection with mechanics of deformable solids (35Q74)

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Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics ⋮ A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms ⋮ Root-finding absorbing boundary conditions for scalar and elastic waves in infinite media ⋮ The double absorbing boundary method for the Helmholtz equation ⋮ The double absorbing boundary method for a class of anisotropic elastic media ⋮ Stable high-order absorbing boundary condition based on new continued fraction for scalar wave propagation in unbounded multilayer media ⋮ Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides

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