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
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;
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
DOI :
10.1109/ICEAA.2009.5297293
