Publisher DOI: 10.1007/3-540-26825-1_67
Title: Hierarchical matrices for convection-dominated problems
Language: English
Authors: Le Borne, Sabine  
Issue Date: 2005
Publisher: Springer
Source: 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)
Abstract (english): 
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.
URI: http://hdl.handle.net/11420/10623
ISBN: 978-3-540-22523-2
978-3-540-26825-3
Document Type: Chapter (Book)
Part of Series: Lecture notes in computational science and engineering 
Volume number: 40
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