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
fDate :
4/1/2007 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.892391
