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The Fast Solution of Boundary Integral Equations: Book by Sergej Rjasanow

The Fast Solution of Boundary Integral Equations

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ISBN: 9781441941602    Publisher: Springer-Verlag New York Inc. Year of publishing: 2010     Format:  Paperback No of Pages: 292        
This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations...Read more
This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations as well as discussing Galerkin discretisation. All the necessary related stability and error estimates are derived. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given.
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Review:
From the reviews: "The theoretical and practical study of boundary element methods (BEM) has attracted a lot of attention in the past decades. The main feature of these methods is that one only...Read more
From the reviews: "The theoretical and practical study of boundary element methods (BEM) has attracted a lot of attention in the past decades. The main feature of these methods is that one only requires discretization of the surface rather than of the volume of the body to be analyzed. ... The present book is intended not only as a useful introduction to classical boundary element techniques but also to some recent developments concerning fast implementation." (Maria-Luisa Rapun, Mathematical Reviews, Issue 2008 g)
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