E-Book, Englisch, Band 63, 296 Seiten, eBook
Reihe: Lecture Notes in Computational Science and Engineering
Bebendorf Hierarchical Matrices
2008
ISBN: 978-3-540-77147-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
A Means to Efficiently Solve Elliptic Boundary Value Problems
E-Book, Englisch, Band 63, 296 Seiten, eBook
Reihe: Lecture Notes in Computational Science and Engineering
ISBN: 978-3-540-77147-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Low-Rank Matrices and Matrix Partitioning.- Hierarchical Matrices.- Approximation of Discrete Integral Operators.- Application to Finite Element Discretizations.
