Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition

DOI10.1051/m2an/2010020zbMath1194.31002OpenAlexW2148978831MaRDI QIDQ3577752

Mario Durán, Jean-Claude Nédélec, Eduardo Paciência Godoy

Publication date: 23 July 2010

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/244993

zbMATH Keywords

Green's functionimpedance boundary conditionsurface waveshalf-planetime-harmonic elasticity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Surface waves in solid mechanics (74J15) Numerical methods for discrete and fast Fourier transforms (65T50) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (4)

A new fast multipole formulation for the elastodynamic half-space Green's tensor ⋮ On the existence of surface waves in an elastic half-space with impedance boundary conditions ⋮ A windowed Green function method for elastic scattering problems on a half-space ⋮ A direct imaging method for half-space inverse elastic scattering problems

Uses Software

• OASES

Cites Work

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• Lamb's problem for solids of general anisotropy
• Boundary integral equations in elasticity theory
• Computing numerically the Green's function of the half-plane Helmholtz operator with impedance boundary conditions
• Numerical evaluation of harmonic Green's functions for triclinic half-space with embedded sources—Part I: a 2D model
• Numerical evaluation of harmonic Green's functions for triclinic half-space with embedded sources—Part II: a 3D model
• A Green's function time-domain boundary element method for the elastodynamic half-plane
• The Helmholtz equation in a locally perturbed half-plane with passive boundary
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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