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Zbl 1194.31002
Durán, Mario; Godoy, Eduardo; Nédélec, Jean-Claude
Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition. (English)
[J] ESAIM, Math. Model. Numer. Anal. 44, No. 4, 671-692 (2010). ISSN 0764-583X; ISSN 1290-3841/e

From the authors' abstract: This work presents an effective and accurate method for determining, from a theoretical and computational point of view, the time-harmonic Green function of an isotropic elastic half-plane, where an impedance boundary condition is considered. This method, based on the previous work done by Durán et al. for the Helmholtz equation in a half-plane, combines appropriately analytical and numerical techniques, which has an important advantage because of the explicit expressions for the surface waves.

MSC 2000:: *31A10 Integral representations of harmonic functions (two-dimensional)
35E05 Fundamental solutions (PDE with constant coefficients)
65T50 Discrete and fast Fourier transforms
74B05 Classical linear elasticity
74J15 Surface waves

Keywords: Green's function; half-plane; time-harmonic elasticity; impedance boundary condition; surface waves

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