Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods
Produktnummer:
1814f3bb4c04964a4b9f31c8ecde4e123c
| Autor: | Stephan, Ernst P. Tran, Thanh |
|---|---|
| Themengebiete: | FEM-BEM coupling GMRES boundary element boundary integral equation conjugate gradient domain decomposition multilevel preconditioner |
| Veröffentlichungsdatum: | 19.08.2021 |
| EAN: | 9783030792824 |
| Sprache: | Englisch |
| Seitenzahl: | 589 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
Produktinformationen "Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods"
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.
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