A multigrid-balancing preconditioner of domain decomposition methods for magnetic field problems

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Abstract

A balancing domain decomposition (BDD) method is applied to magnetic field problems with a mixed variational formulation as a preconditioner of iterative domain decomposition methods (DDMs). The BDD method enables us to keep the number of iterations of the DDM even if the number of subdomains increases. However, in case of magnetic field problems with mixed variational formulation, the BDD method causes higher computational costs. In order to settle this difficulty, a kind of multigrid method is introduced into the BDD procedure.

Original languageEnglish
Title of host publicationIEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509010325
DOIs
Publication statusPublished - Jan 12 2017
Event17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016 - Miami, United States
Duration: Nov 13 2016Nov 16 2016

Publication series

NameIEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation

Other

Other17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016
CountryUnited States
CityMiami
Period11/13/1611/16/16

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All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Instrumentation
  • Electrical and Electronic Engineering

Cite this

Tagami, D. (2017). A multigrid-balancing preconditioner of domain decomposition methods for magnetic field problems. In IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation [7816393] (IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CEFC.2016.7816393