Year: 2009
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 5 : pp. 624–641
Abstract
This paper deals with the preconditioning of the curl-curl operator. We use
$\boldsymbol{H}$(curl)-conforming finite elements for the discretization of our corresponding magnetostatic model problem. Jumps in the material parameters influence the condition of the problem. We will demonstrate by theoretical estimates and numerical experiments that hierarchical matrices are well suited to construct efficient parallel preconditioners for the fast and robust iterative solution of such problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2009.27.5.014
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 5 : pp. 624–641
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Computational electromagnetism Preconditioners Hierarchical matrices Parallelization.