DocumentCode :
1543250
Title :
Block-Preconditioning for Hybrid Discretizations in Combination With Lagrange-Multiplier Coupling
Author :
Koch, Stephan ; De Gersem, Herbert ; Weiland, Thomas
Author_Institution :
Inst. fuer Theor. Elektromagn. Felder, Tech. Univ. Darmstadt, Darmstadt, Germany
Volume :
46
Issue :
8
fYear :
2010
Firstpage :
3397
Lastpage :
3400
Abstract :
Hybrid discretization methods based on a domain decomposition exploiting continuous symmetries present in parts of the model aim at a reduction of the computational cost of the related numerical simulations. The resulting linear systems of equations arising from, e.g., the coupling of finite elements (FE) and spectral elements (SE), are sparse and symmetric. However, in case of the use of saddle-point formulations an indefinite system of algebraic equations is obtained. Therefore, the solution requires the application of appropriate iterative solvers and preconditioners. In order to achieve an acceptable solution time, an adapted block-preconditioner based on approximations of the Schur complement is applied. The performance regarding the number of iterations of the Krylov subspace method as well as the solution time is compared for different types of preconditioners.
Keywords :
finite element analysis; iterative methods; magnetic anisotropy; symmetry; Krylov subspace method; Lagrange-multiplier coupling; Schur complement; adapted block-preconditioner; algebraic equations; block-preconditioning; continuous symmetries; domain decomposition; finite element coupling; hybrid discretizations; iterative solvers; linear systems; numerical simulations; saddle-point formulations; spectral elements; Computational efficiency; Finite element methods; Lagrangian functions; Magnetic anisotropy; Magnetic flux; Magnetic separation; Magnetostatics; Maxwell equations; Perpendicular magnetic anisotropy; Shape; Continuous symmetry; Lagrange multipliers; finite element methods; preconditioning; saddle-point formulation;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/TMAG.2010.2044492
Filename :
5512935
Link To Document :
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