A high order spectral algorithm for elastic obstacle scattering in three dimensions

DOI10.1016/j.jcp.2014.08.047zbMath1351.74113OpenAlexW2021959705MaRDI QIDQ728706

Frédérique Le Louër

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.08.047

zbMATH Keywords

boundary integral equationsspectral methodNeumann conditionNavier equationsDirichlet condition

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Wave scattering in solid mechanics (74J20) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (20)

Extension of the Günter derivatives to the Lipschitz domains and application to the boundary potentials of elastic waves ⋮ A fast solver for elastic scattering from axisymmetric objects by boundary integral equations ⋮ Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves ⋮ A domain derivative-based method for solving elastodynamic inverse obstacle scattering problems ⋮ Regularized hyper-singular boundary integral equation methods for three-dimensional poroelastic problems ⋮ A spectral boundary integral method for the elastic obstacle scattering problem in three dimensions ⋮ An accurate boundary element method for the exterior elastic scattering problem in two dimensions ⋮ A high-order algorithm for time-domain scattering in three dimensions ⋮ On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic \(\mathcal{H}\)-matrix accelerated boundary element methods ⋮ A robust and high precision algorithm for elastic scattering problems from cornered domains ⋮ Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions ⋮ An efficient algorithm for a class of stochastic forward and inverse Maxwell models in \(\mathbb{R}^3\) ⋮ Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions ⋮ Analytical preconditioners for Neumann elastodynamic boundary element methods ⋮ A highly accurate boundary integral method for the elastic obstacle scattering problem ⋮ A fast high order algorithm for multiple scattering from large sound-hard three dimensional configurations ⋮ Regularized integral equation methods for elastic scattering problems in three dimensions ⋮ A boundary integral formulation and a topological energy-based method for an inverse 3D multiple scattering problem with sound-soft, sound-hard, penetrable, and absorbing objects ⋮ An Inverse Parameter Problem with Generalized Impedance Boundary Condition for Two-Dimensional Linear Viscoelasticity ⋮ Fast inverse elastic scattering of multiple particles in three dimensions*

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