Volume 27, Issue 5
Parallel Hierarchical Matrix Preconditioners for the Curl-Curl Operator

Mario Bebendorf & Joerg Ostrowski

J. Comp. Math., 27 (2009), pp. 624-641.

Published online: 2009-10

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  • Abstract

This paper deals with the preconditioning of the curl-curl operator. We use 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.

  • Keywords

Computational electromagnetism Preconditioners Hierarchical matrices Parallelization

  • AMS Subject Headings

65N22 65F10 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-27-624, author = {}, title = {Parallel Hierarchical Matrix Preconditioners for the Curl-Curl Operator}, journal = {Journal of Computational Mathematics}, year = {2009}, volume = {27}, number = {5}, pages = {624--641}, abstract = {

This paper deals with the preconditioning of the curl-curl operator. We use 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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.27.5.014}, url = {http://global-sci.org/intro/article_detail/jcm/8593.html} }
TY - JOUR T1 - Parallel Hierarchical Matrix Preconditioners for the Curl-Curl Operator JO - Journal of Computational Mathematics VL - 5 SP - 624 EP - 641 PY - 2009 DA - 2009/10 SN - 27 DO - http://doi.org/10.4208/jcm.2009.27.5.014 UR - https://global-sci.org/intro/article_detail/jcm/8593.html KW - Computational electromagnetism KW - Preconditioners KW - Hierarchical matrices KW - Parallelization AB -

This paper deals with the preconditioning of the curl-curl operator. We use 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.

Mario Bebendorf & Joerg Ostrowski. (2019). Parallel Hierarchical Matrix Preconditioners for the Curl-Curl Operator. Journal of Computational Mathematics. 27 (5). 624-641. doi:10.4208/jcm.2009.27.5.014
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