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

Buch 26 von 33: Springer Computational Mathematics

Sayas, Francisco-Javier

 
9783319799865: Retarded Potentials and Time Domain Boundary Integral Equations: A Road Map (Springer Series in Computational Mathematics, Band 50)
Softcover
ISBN 10: 331979986X ISBN 13: 9783319799865
Verlag: Springer, 2018

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

¿Lehel Banjai is an Associate Professor at the Maxwell Institute for Mathematics in the Sciences, Heriot-Watt University, Edinburgh. The author of over 40 journal articles, he is best known for his work on time-domain boundary integral equations. He is currently an Associate Editor of the SIAM Journal on Numerical Analysis.

Francisco-Javier Sayas was a Professor of Mathematical Sciences at the University of Delaware. He published over one hundred research articles in refereed journals and the books Retarded Potentials and Time Domain Boundary Integral Equations, Variational Techniques for Elliptic Partial Differential Equations and An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method.

Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
331979986X
ISBN 13 
9783319799865
Einband
Taschenbuch
Anzahl der Seiten
260
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