Schwarz methods and multilevel preconditioners for boundary element methods / Ernst P. Stephan, Thanh Tran.
Stephan, Ernst P., author.; Tran, Thanh, author.
2021
TA347.B69 S74 2021
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Title Schwarz methods and multilevel preconditioners for boundary element methods / Ernst P. Stephan, Thanh Tran.
Author Stephan, Ernst P., author.
ISBN 9783030792831 (electronic bk.)
3030792838 (electronic bk.)
9783030792824
303079282X
DOI https://doi.org/10.1007/978-3-030-79283-1
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations
Item Number 10.1007/978-3-030-79283-1 doi
Call Number TA347.B69 S74 2021
Dewey Decimal Classification 620.001/51
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 1, 2021).
Added Author Tran, Thanh, author.
Available in Other Form Schwarz methods and multilevel preconditioners for boundary element methods.
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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.

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