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.
ISBN: 978-3-540-22523-2
Document Type: Chapter (Book)
Part of Series: Lecture notes in computational science and engineering 
Volume number: 40
Appears in Collections:Publications without fulltext

Show full item record

Google ScholarTM


Add Files to Item

Note about this record

Cite this record


Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.