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H-matrices for convection-diffusion problems with constant convection
Publikationstyp
Journal Article
Date Issued
2003-06
Sprache
English
Author(s)
Journal
Volume
70
Issue
3
Start Page
261
End Page
274
Citation
Computing 70 (3): 261-274 (2003-01-01)
Publisher DOI
Scopus ID
Hierarchical matrices provide a technique for the sparse approximation and matrix arithmetic of large, fully populated matrices. This technique has been proven to be applicable to matrices arising in the boundary and finite element method for uniformly elliptic operators with L∞-coefficients. This paper analyses the application of hierarchical matrices to the convection-dominant convection-diffusion equation with constant convection. In the case of increasing convection, the convergence of a standard H-matrix approximant towards the original matrix will deteriorate. We derive a modified partitioning and admissibility condition that ensures good convergence also for the singularly perturbed case.
Subjects
Data-sparse approximation
Dominant convection
Hierarchical matrices
DDC Class
510: Mathematik