Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods 2021 Edition Contributor(s): Stephan, Ernst P. (Author), Tran, Thanh (Author) |
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ISBN: 303079282X ISBN-13: 9783030792824 Publisher: Springer OUR PRICE: $189.99 Product Type: Hardcover Published: August 2021 |
Additional Information |
BISAC Categories: - Mathematics | Number Systems - Mathematics | Mathematical Analysis - Mathematics | Differential Equations - General |
Physical Information: 1.31" H x 6.14" W x 9.21" (2.26 lbs) 589 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |