Format:
1 Online-Ressource (XXI, 589 p. 55 illus.)
ISBN:
9783030792831
Series Statement:
Springer eBook Collection
Content:
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.
Content:
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.
Additional Edition:
ISBN 9783030792824
Additional Edition:
ISBN 9783030792848
Additional Edition:
ISBN 9783030792855
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030792824
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030792848
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030792855
Language:
English
DOI:
10.1007/978-3-030-79283-1
