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Scientific Computing in Electrical Engineering pp 169–176Cite as

Multigrid Solvers for Poisson’s Equation in Computational Electromagnetics

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 18))

Abstract

Complex real life problems, as they appear with the simulation of electromagnetic fields, demand the construction of efficient and robust solvers for the related equations. In the present paper we investigate multigrid algorithms for the solution of static problems on adaptive discretizations. Two multigrid strategies are compared: algebraic multigrid, which performs the adaption to the discretization automatically and geometric multigrid with semi-coarsening, which has fast convergence if the discretization fits the coarsening strategy.

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Author information

Authors and Affiliations

  1. Institute of General Electrical Engineering, University of Rostock, Albert-Einstein-Str. 2, D-18051, Rostock, Germany

    G. Pöplau & U. van Rienen

Authors
  1. G. Pöplau
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  2. U. van Rienen
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Editor information

Editors and Affiliations

  1. Fachbereich Elektrotechnik und Informationstechnik, Universität Rostock, Albert-Einstein-Straße 2, 18051, Rostock, Germany

    Ursula van Rienen  & Dirk Hecht  & 

  2. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung IWRMM, Universität Karlsruhe, Engesserstraße 6, 76128, Karlsruhe, Germany

    Michael Günther

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© 2001 Springer-Verlag Berlin Heidelberg

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Pöplau, G., van Rienen, U. (2001). Multigrid Solvers for Poisson’s Equation in Computational Electromagnetics. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_18

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  • DOI: https://doi.org/10.1007/978-3-642-56470-3_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42173-3

  • Online ISBN: 978-3-642-56470-3

  • eBook Packages: Springer Book Archive

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