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Schwarz methods and multilevel preconditioners for boundary element methods / Ernst P. Stephan, Thanh Tran.

9783030792831 (electronic bk.)
3030792838 (electronic bk.)
9783030792824
303079282X

Cham : Springer, [2021]

©2021

English

1 online resource : illustrations

10.1007/978-3-030-79283-1 doi

TA347.B69 S74 2021

620.001/51

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed September 1, 2021).

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