Retarded Potentials and Time Domain Boundary Integral Equations

A Road Map de

Éditeur :

Springer


Collection :

Springer Series in Computational Mathematics

Paru le : 2016-04-12

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Description
This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.
Pages
242 pages
Collection
Springer Series in Computational Mathematics
Parution
2016-04-12
Marque
Springer
EAN papier
9783319266435
EAN EPUB
9783319266459

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
24
Taille du fichier
3809 Ko
Prix
94,94 €