A Highly Scalable Multigrid Method with Parallel Direct Coarse Grid Solver for Maxwell’s Equations

Daniel Maurer () and Christian Wieners ()
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Daniel Maurer: Karlsruhe Institute of Technology, Institute for Applied and Numerical Mathematics 3
Christian Wieners: Karlsruhe Institute of Technology, Institute for Applied and Numerical Mathematics 3

A chapter in High Performance Computing in Science and Engineering ‘13, 2013, pp 671-677 from Springer

Abstract: Abstract We present scalability results on the cluster HERMIT of a parallel direct solver for finite element methods. This is applied in a multigrid iteration to obtain a highly scalable solution method for the computation of reliable and exact approximations of electro-magnetic fields in the cavity problem for the Maxwell’s equations, and of electromagnetic eigenfrequencies in Maxwell’s eigenvalue problem. Here, we consider in particular the case that several frequencies has to be determined simultaneously. For both problems a Laplace equation has to be solved in addition in order to obtain divergence-free fields.

Keywords: Coarse Grid Solver; Multigrid Method; Parallel Direct Solver; Cavity Problem; Multigrid Iteration (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02165-2_47

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DOI: 10.1007/978-3-319-02165-2_47

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