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Retarded Potentials and Time Domain Boundary Integral Equations: A Road Map: 50 (Springer Series in Computational Mathematics, 50) - Hardcover

Book 26 of 33: Springer Computational Mathematics

Sayas, Francisco-Javier

 
9783319266435: Retarded Potentials and Time Domain Boundary Integral Equations: A Road Map: 50 (Springer Series in Computational Mathematics, 50)
Hardcover
ISBN 10: 3319266438 ISBN 13: 9783319266435
Publisher: Springer, 2016

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2016
Language
English
ISBN 10 
3319266438
ISBN 13 
9783319266435
Binding
Hardcover
Edition number
1
Number of pages
257