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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods (Hardcover, 1st ed. 2021)
Loot Price: R5,380
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Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods (Hardcover, 1st ed. 2021)
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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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