Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods

di Ernst P. Stephan (Autore)

Thanh Tran (Autore)

Springer Nature Switzerland AG, 2022

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.

• Autore: Ernst P. Stephan, Thanh Tran
• Editore: Springer Nature Switzerland AG
• Anno: 2022
• Rilegatura: Paperback / softback
• Pagine: 589 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783030792855

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