Hierarchical Matrices : A Means to Efficiently Solve Elliptic Boundary Value Problems

Language: English

Published by Springer, 2008

3540771468 / 9783540771463

Series: Book 39 of 111 - Lecture Notes in Computational Science and Engineering

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783540771463

Title
Hierarchical Matrices : A Means to Efficiently Solve Elliptic Boundary Value Problems
Author
Mario Bebendorf
Publisher
Springer
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540771468
ISBN 13
9783540771463
Item weight
533 grams
Dimensions
235x155x20 mm
Series
Book 39 of 111: Lecture Notes in Computational Science and Engineering

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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