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

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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.

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© 2003 Springer-Verlag Italia

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De Gersem, H., Vandewalle, S., Hameyer, K. (2003). A preconditioned Krylov subspace solver for a saddle-point model of a single-phase induction machine. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_85

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  • DOI: https://doi.org/10.1007/978-88-470-2089-4_85

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-2167-9

  • Online ISBN: 978-88-470-2089-4

  • eBook Packages: Springer Book Archive

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