Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods
Dom Ago 22, 2021 1:18 pm
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Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods
pdf | 6.16 MB | English | Isbn: B09D2XDC5L | Author: Ernst P. Stephan | Year: 2021
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Description:
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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