Schwarz Methods And Multilevel Preconditioners For Boundary Element Methods - 9783030792855

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.

• | Author: Ernst P. Stephan|Thanh Tran
• | Publisher: Springer
• | Publication Date: Sep 02, 2022
• | Number of Pages: 610 pages
• | Language: English
• | Binding: Paperback/Mathematics
• | ISBN-10: 3030792854
• | ISBN-13: 9783030792855