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Hierarchical matrices for convection-dominated problems
Publikationstyp
Book Part
Date Issued
2005
Sprache
English
Author(s)
First published in
Number in series
40
Start Page
631
End Page
638
Citation
Domain decomposition methods in science and engineering / R. Kornhuber ..., ed. - Berlin, 2005. - (Lecture Notes in Computational Science and Engineering ; vol. 40): Pp. 631-638 (2005)
Publisher DOI
Scopus ID
Publisher
Springer
Hierarchical matrices provide a technique to efficiently compute and store explicit approximations to the inverses of stiffness matrices computed in the discretization of partial differential equations. In a previous paper, Le Borne [2003], it was shown how standard H-matrices must be modified in order to obtain good approximations in the case of a convection dominant equation with a constant convection direction. This paper deals with a generalization to arbitrary (non-constant) convection directions. We will show how these H-matrix approximations to the inverse can be used as preconditioners in iterative methods.
DDC Class
004: Informatik
510: Mathematik