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Hierarchical Matrices

A Means to Efficiently Solve Elliptic Boundary Value Problems

Language EnglishEnglish
Book Paperback
Book Hierarchical Matrices Mario Bebendorf
Libristo code: 01569681
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e... Full description
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Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background. The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients.Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions.The theory is supported by many numerical experiments from real applications.

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About the book

Full name Hierarchical Matrices
Language English
Binding Book - Paperback
Date of issue 2008
Number of pages 296
EAN 9783540771463
ISBN 3540771468
Libristo code 01569681
Weight 533
Dimensions 155 x 235 x 20
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