Retarded Potentials and Time Domain Boundary Integral Equations
Francisco-Javier Sayas
Gebundenes Buch

Retarded Potentials and Time Domain Boundary Integral Equations

A Road Map

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This book offers a thoroughand self-contained exposition of the mathematics of time-domain boundaryintegral equations associated to the wave equation, including applications toscattering of acoustic and elastic waves. The book offers two differentapproaches for the analysis of these integral equations, including asystematic treatment of their numerical discretization using Galerkin(Boundary Element) methods in the space variables and ConvolutionQuadrature in the time variable. The first approach follows classical workstarted in the late eighties, based on Laplace transforms estimates. Thisappr...