Boundary Integral Equations [electronic resource] / by George C. Hsiao, Wolfgang L. Wendland.
Contributor(s): Wendland, Wolfgang L [author.] | SpringerLink (Online service)Material type: TextSeries: Applied Mathematical Sciences: 164Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008Description: XIX, 620 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540685456Subject(s): Mathematics | Partial differential equations | Computer mathematics | Numerical analysis | Applied mathematics | Engineering mathematics | Mathematics | Computational Mathematics and Numerical Analysis | Numerical Analysis | Appl.Mathematics/Computational Methods of Engineering | Partial Differential EquationsAdditional physical formats: Printed edition:: No titleDDC classification: 518 LOC classification: QA71-90Online resources: Click here to access online
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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.