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Schwarz methods and multilevel preconditioners for boundary element methods
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Schwarz methods and multilevel preconditioners for boundary element methodsby Ernst P. Stephan, Thanh Tran.
作者:
Stephan, Ernst P.
其他作者:
Tran, Thanh.
出版者:
Cham :Springer International Publishing :2021.
面頁冊數:
xxi, 589 p. :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
Boundary element methods.
電子資源:
https://doi.org/10.1007/978-3-030-79283-1
ISBN:
9783030792831
Schwarz methods and multilevel preconditioners for boundary element methods
Stephan, Ernst P.
Schwarz methods and multilevel preconditioners for boundary element methods
[electronic resource] /by Ernst P. Stephan, Thanh Tran. - Cham :Springer International Publishing :2021. - xxi, 589 p. :ill., digital ;24 cm.
Part I: General Theory -- Part II: Two-Dimensional Problems -- Part III: Three-Dimensional Problems -- Part IV: FEM-BEM Coupling -- Part V: Problems on the Sphere -- Part VI: Appendices -- References -- Index.
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.
ISBN: 9783030792831
Standard No.: 10.1007/978-3-030-79283-1doiSubjects--Topical Terms:
208685
Boundary element methods.
LC Class. No.: TA347.B69 / S74 2021
Dewey Class. No.: 620.00151
Schwarz methods and multilevel preconditioners for boundary element methods
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