By Francisco-Javier Sayas

ISBN-10: 3319266438

ISBN-13: 9783319266435

This publication bargains a thorough
and self-contained exposition of the maths of time-domain boundary
integral equations linked to the wave equation, together with functions to
scattering of acoustic and elastic waves. The booklet bargains different
approaches for the research of those essential equations, together with a
systematic treatment in their numerical discretization utilizing Galerkin
(Boundary aspect) tools within the area variables and Convolution
Quadrature within the time variable. the 1st technique follows classical work
started within the late eighties, according to Laplace transforms estimates. This
approach has been subtle and made extra accessible by tailoring the
necessary mathematical instruments, heading off an way over generality. A second
approach comprises a novel standpoint that the writer and a few of his
collaborators were constructing in recent times, using the semigroup
theory of evolution equations to procure greater effects. The extension to
electromagnetic waves is defined in a single of the appendices.

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Retarded Potentials and Time Domain Boundary Integral Equations: A Road Map (Springer Series in Computational Mathematics) by Francisco-Javier Sayas

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