DocumentCode
2034344
Title
Hierarchical matrix preconditioners for eddy current problems
Author
Krämer, F. ; Bebendorf, M. ; Ostrowski, J. ; Hiptmair, R.
Author_Institution
Seminar fur Angewandte Math., ETH Zurich, Zurich, Switzerland
fYear
2009
fDate
14-18 Sept. 2009
Firstpage
724
Lastpage
727
Abstract
This paper deals with the preconditioning of the matrix that arises from a H(curl)-conforming finite element (FEM) discretization of an eddy current problem in the frequency domain. Large jumps in the material coefficients may cause serve ill-conditioning. We have investigated how operator preconditioning and hierarchical matrices can be used to construct efficient preconditioners and obtain fast and robust iterative solvers.
Keywords
eddy currents; finite element analysis; frequency-domain analysis; iterative methods; matrix algebra; FEM; H-conforming finite element discretization; eddy current problem; frequency domain; hierarchical matrix preconditioner; large jump; material coefficient; robust iterative solver; Conductivity; Eddy currents; Eigenvalues and eigenfunctions; Finite element methods; Linear systems; Matrix decomposition; Maxwell equations; Robustness; Sparse matrices; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Electromagnetics in Advanced Applications, 2009. ICEAA '09. International Conference on
Conference_Location
Torino
Print_ISBN
978-1-4244-3385-8
Electronic_ISBN
978-1-4244-3386-5
Type
conf
DOI
10.1109/ICEAA.2009.5297293
Filename
5297293
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