DocumentCode
751891
Title
Algebraic Multigrid for Implicit Runge–Kutta Discretizations of the Eddy Current Problem
Author
Boonen, Tim ; Van Lent, Jan ; De Gersem, Herbert ; Driesen, Johan ; Vandewalle, Stefan
Author_Institution
Dept. of Comput. Sci., Katholieke Univ., Leuven
Volume
43
Issue
4
fYear
2007
fDate
4/1/2007 12:00:00 AM
Firstpage
1265
Lastpage
1268
Abstract
In this paper, we present an algebraic multigrid algorithm for fully coupled implicit Runge-Kutta (IRK) time discretizations of the eddy current problem. The algorithm uses a blocksmoother. By a theoretical analysis and numerical experiments, we show that the convergence is similar to the convergence of the scalar algebraic multigrid algorithm on which it is based
Keywords
Runge-Kutta methods; differential equations; eddy currents; algebraic multigrid algorithm; eddy current problems; implicit Runge-Kutta time discretizations; Algorithm design and analysis; Computer science; Convergence of numerical methods; Costs; Eddy currents; Linear systems; Magnetic domains; Partial differential equations; Physics; Stability; Algebraic multigrid; eddy current problem; implicit Runge–Kutta (IRK) time discretization;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2007.892391
Filename
4137672
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