JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics A Robust Preconditioned-MinRes-Solver for Distributed Time-Periodic Eddy Current Optimal Control
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چکیده
This work is devoted to distributed optimal control problems for time-periodic eddy current problems. We apply the multiharmonic approach to the optimality system and construct a new preconditioned MinRes solver for the system of frequency domain equations. We show that this solver is robust with respect to the space discretization and time discretization parameters as well as all involved “bad” parameters like the conductivity, the reluctivity, and the regularization parameters.
منابع مشابه
JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics A frequency-robust solver for the time-harmonic eddy current problem
This work is devoted to fast and parameter-robust iterative solvers for frequency domain finite element equations, approximating the eddy current problem with harmonic excitation. We construct a preconditioned MinRes solver for the frequency domain equations, that is robust (= parameter– independent) in both the discretization parameter h and the frequency ω.
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1 FWF-Start Project Y-192 “3D hp-Finite Elements”, Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria [email protected] 2 Radon Institute for Computational and Applied Mathematics (RICAM), Altenbergerstraße 69, 4040 Linz, Austria [email protected] 3 Institute of Computational Mathematics, Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria ulanger...
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تاریخ انتشار 1997