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Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods/ by Ernst P. Stephan, Thanh Tran.
Author:	Stephan, Ernst P.
other author:	Tran, Thanh.
Description:	XXI, 589 p. 55 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Numerical analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-79283-1
ISBN:	9783030792831

Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods
Stephan, Ernst P.

Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods[electronic resource] /by Ernst P. Stephan, Thanh Tran. - 1st ed. 2021. - XXI, 589 p. 55 illus.online resource.

Part I: General Theory -- Part II: Two-Dimensional Problems -- Part III: Three-Dimensional Problems -- Part IV: FEM-BEM Coupling -- Part V: Problems on the Sphere -- Part VI: Appendices -- References -- Index.

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.

ISBN: 9783030792831

Standard No.: 10.1007/978-3-030-79283-1doiSubjects--Topical Terms:

527939
Numerical analysis.

LC Class. No.: QA297-299.4

Dewey Class. No.: 518

Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods
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