Title :
Multilevel Preconditioning for Time-Harmonic Eddy-Current Problems Solved With Hierarchical Finite Elements
Author :
Aghabarati, Ali ; Webb, Jon P.
Author_Institution :
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada
Abstract :
A multilevel preconditioner is described for high-order finite element analysis of eddy currents using the T-Ω formulation. The preconditioner combines p-type multiplicative Schwartz for the higher order degrees of freedom and auxiliary space preconditioning for the lowest order. Algebraic multigrid is applied to the first-order scalar spaces. The new preconditioner performs four times faster than a standard preconditioner on a test problem with 13.3 million unknowns.
Keywords :
differential equations; eddy currents; finite element analysis; algebraic multigrid; auxiliary space preconditioning; first order scalar spaces; hierarchical finite elements; high order finite element analysis; higher order degrees of freedom; multilevel preconditioning; p type multiplicative Schwartz; time harmonic eddy current problems; Benchmark testing; Coils; Conductors; Finite element analysis; Magnetic domains; Phasor measurement units; Vectors; Eddy currents; finite-element methods; multigrid methods;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2013.2282855
