Boundary Integral Equations
Hsiao, George C.
creator
author.
Wendland, Wolfgang L.
author.
SpringerLink (Online service)
text
gw
2008
monographic
eng
access
XIX, 620 p. online resource.
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.
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.
by George C. Hsiao, Wolfgang L. Wendland.
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 Equations
QA71-90
518
Springer eBooks
Applied Mathematical Sciences, 164
9783540685456
http://dx.doi.org/10.1007/978-3-540-68545-6
http://dx.doi.org/10.1007/978-3-540-68545-6
100301
20180115171702.0
978-3-540-68545-6