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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • H. De Gersem & S. Vandewalle & K. Hameyer, 2003. "A preconditioned Krylov subspace solver for a saddle-point model of a single-phase induction machine," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 941-948, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_85
    DOI: 10.1007/978-88-470-2089-4_85
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