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Author Bebendorf, Mario.

Title Hierarchical matrices : a means to efficiently solve elliptic boundary value problems / Mario Bebendorf
Published Berlin : Springer, [2008]
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Description 1 online resource (xvi, 290 pages) : illustrations
Series Lecture notes in computational science and engineering ; 63
Lecture notes in computational science and engineering ; 63
Contents Introduction; Low-Rank Matrices and Matrix Partitioning; Hierarchical Matrices; Approximation of Discrete Integral Operators; Application to Finite Element Discretizations
Summary 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 approx
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Matrices.
Boundary value problems.
Differential equations, Elliptic.
Form Electronic book
LC no. 2008925088
ISBN 3540771468 (Paper)
9783540771463 (Paper)