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Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods / by Ernst P. Stephan, Thanh Tran.
Springer Nature - Springer Mathematics and Statistics eBooks 2021 English International Available online
View online- Format:
- Book
- Author/Creator:
- Stephan, Ernst Peter, author.
- Tran, Thanh V., author.
- Language:
- English
- Subjects (All):
- Numerical analysis.
- Integral equations.
- Mathematical analysis.
- Mathematics.
- Computer science--Mathematics.
- Computer science.
- Numerical Analysis.
- Integral Equations.
- Analysis.
- Applications of Mathematics.
- Mathematics of Computing.
- Local Subjects:
- Numerical Analysis.
- Integral Equations.
- Analysis.
- Applications of Mathematics.
- Mathematics of Computing.
- Physical Description:
- 1 online resource (593 pages)
- Edition:
- 1st ed. 2021.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2021.
- 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.
- Contents:
- 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.
- ISBN:
- 3-030-79283-8
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