Publisher DOI: 10.1007/s00791-007-0065-x
Title: Hierarchical matrix preconditioners for the Oseen equations
Language: English
Authors: Le Borne, Sabine  
Issue Date: 6-Feb-2007
Source: Computing and Visualization in Science 11 (3): 147-157 (2008-05-01)
Abstract (english): 
Hierarchical matrices provide a technique for the data-sparse approximation and matrix arithmetic of large, fully populated matrices. In particular, approximate inverses as well as approximate LU factorizations of finite element stiffness matrices may be computed and stored in nearly optimal complexity. In this paper, we develop efficient ℋ-matrix preconditioners for the Oseen equations. In particular, H-matrices will provide efficient preconditioners for the auxiliary (scalar) discrete convection-diffusion and pressure Schur complement problems. We will provide various numerical tests comparing the resulting preconditioners with each other. © 2007 Springer-Verlag.
URI: http://hdl.handle.net/11420/10604
ISSN: 1432-9360
Journal: Computing and visualization in science 
Institute: Mathematik E-10 
Document Type: Article
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