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Retarded potentials and time domain boundary integral equations : a road map

Author: Francisco-Javier Sayas
Publisher: Switzerland : Springer, 2016.
Series: Springer series in computational mathematics, 50.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Francisco-Javier Sayas
ISBN: 9783319266459 3319266454 3319266438 9783319266435
OCLC Number: 946724569
Description: 1 online resource (xv, 242 pages) : illustrations (some color).
Contents: The retarted layer potentials --
From time domain to Laplace domain --
From Laplace domain to time domain --
Convulution Quadrature --
The Discrete layer potentials --
A General Class of Second Order Differential Equations.- Time domain analysis of the single layer potential.- Time domain analysis of the double layer potential.- Full discretization revisited --
Patterns, Extensions, and Conclusions --
Appendices.
Series Title: Springer series in computational mathematics, 50.
Responsibility: Francisco-Javier Sayas.

Abstract:

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  Read more...

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