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portada Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods
Type
Physical Book
Author
Publisher
Language
English
Pages
589
Format
Hardcover
Dimensions
23.4 x 15.6 x 3.3 cm
Weight
1.03 kg.
ISBN13
9783030792824
Categories

Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods

Ernst P. Stephan (Author) · Thanh Tran (Author) · Springer · Hardcover

Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods - Stephan, Ernst P. ; Tran, Thanh

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Synopsis "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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