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＜E-Book＞
Boundary Integral Equations / by George C. Hsiao, Wolfgang L. Wendland
(Applied Mathematical Sciences. ISSN:2196968X ; 164)

Edition	1st ed. 2008.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2008
Language	English
Size	XIX, 620 p : online resource
Authors	*Hsiao, George C author Wendland, Wolfgang L author SpringerLink (Online service)
Subjects	LCSH:Mathematics -- Data processing  All Subject Search LCSH:Numerical analysis LCSH:Engineering mathematics LCSH:Engineering -- Data processing  All Subject Search LCSH:Differential equations FREE:Computational Mathematics and Numerical Analysis FREE:Numerical Analysis FREE:Mathematical and Computational Engineering Applications FREE:Differential Equations
Notes	Boundary Integral Equations -- Representation Formulae, Local Coordinates and Direct Boundary Integral Equations -- Sobolev Spaces -- Variational Formulations -- to Pseudodifferential Operators -- Pseudodifferential Operators as Integral Operators -- Pseudodifferential and Boundary Integral Operators -- Integral Equations on ?? IR3 Recast as Pseudodifferential Equations -- Boundary Integral Equations on Curves in IR2 This book is devoted to the basic mathematical properties of solutions to boundary integral equations and presents a systematic approach to the variational methods for the boundary integral equations arising in elasticity, fluid mechanics, and acoustic scattering theory. It may also serve as the mathematical foundation of the boundary element methods. The latter have recently become extremely popular and efficient computational tools in applications. The authors are well known for their fundamental work on boundary integral equations and related topics. This book is a major scholarly contribution to the modern theory of boundary integral equations and should be accessible and useful to a large community of mathematical analysts, applied mathematicians, engineers and scientists HTTP:URL=https://doi.org/10.1007/978-3-540-68545-6

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