A preconditioned Krylov subspace solver for a saddle-point model of a single-phase induction machine

H. De Gersem, S. Vandewalle and K. Hameyer
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H. De Gersem: Technische Universität Darmstadt, Computational Electromagnetics Laboratory
S. Vandewalle: Katholieke Universiteit Leuven, Department of Computer Science
K. Hameyer: Katholieke Universiteit Leuven, Division ELEN, Department ESAT

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 941-948 from Springer

Abstract: Summary A time-harmonic model for a single-phase induction machine is constructed consisting of three domains coupled by interface conditions involving Fourier transforms and selection operators. The interface conditions are taken into account by projecting the system onto the space of vectors with matching interface conditions or by a saddle-point formulation with constraint equations.The saddle-point problem is solved by the bi-conjugate gradient stabilised method with a block preconditioner based on a field-circuit coupled algebraic multigrid for the finite element equations and an approximate Schur complement.

Keywords: Krylov Subspace; Eddy Current Effect; Finite Element System; Magnetic Flux Line; Block Preconditioner (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_85

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DOI: 10.1007/978-88-470-2089-4_85

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