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Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods / by Ernst P. Stephan, Thanh Tran

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook CollectionPublisher: Cham : Springer, 2021Description: 1 Online-Ressource (XXI, 589 p. 55 illus.)ISBN:
  • 9783030792831
Subject(s): Additional physical formats: 9783030792824 | 9783030792848 | 9783030792855 | Erscheint auch als: 9783030792824 Druck-Ausgabe | Erscheint auch als: 9783030792848 Druck-Ausgabe | Erscheint auch als: 9783030792855 Druck-AusgabeDDC classification:
  • 518 23
DOI: DOI: 10.1007/978-3-030-79283-1Online resources: Summary: 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.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.PPN: PPN: 176971264XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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