Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods (Paperback, 1st ed. 2021)

This book provides a comprehensive examination of preconditioners for boundary element discretisations of first-kind integral equations. Focusing on domain-decomposition-type and multilevel methods, it allows readers to gain a good understanding of the mechanisms and necessary techniques in the analysis of the preconditioners. These techniques are unique for the discretisation of first-kind integral equations since the resulting systems of linear equations are not only large and ill-conditioned, but also dense. The book showcases state-of-the-art preconditioning techniques for boundary integral equations, presenting up-to-date research. It also includes a detailed discussion of Sobolev spaces of fractional orders to familiarise readers with important mathematical tools for the analysis. Furthermore, the concise overview of adaptive BEM, hp-version BEM, and coupling of FEM-BEM provides efficient computational tools for solving practical problems with applications in science and engineering.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Release date:	August 2022
First published:	2021
Authors:	Ernst P. Stephan • Thanh Tran
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	589
Edition:	1st ed. 2021
ISBN-13:	978-3-03-079285-5
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	3-03-079285-4
Barcode:	9783030792855

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