title: Adaptive Local Multigrid Methods for the Solution of Time Harmonic Eddy Current Problems creator: Sterz, Oliver creator: Hauser, Andreas creator: Wittum, Gabriel subject: ddc-510 subject: 510 Mathematics description: The efficient computation of large eddy current problems with finite elements requires adaptive methods and fast optimal iterative solvers like multigrid methods. This paper provides an overview of the most important implementation aspects of an adaptive multigrid scheme for time-harmonic eddy currents. It is shown how the standard multigrid scheme can be modified to yield an O(N) complexity even for general adaptive refinement strategies, where the number of unknowns N can grow slowly from one to the next refinement level. Algorithmic details and numerical examples are given. date: 2005 type: Preprint type: info:eu-repo/semantics/preprint type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/5610/1/preprint.pdf identifier: DOI:10.11588/heidok.00005610 identifier: urn:nbn:de:bsz:16-heidok-56105 identifier: Sterz, Oliver ; Hauser, Andreas ; Wittum, Gabriel (2005) Adaptive Local Multigrid Methods for the Solution of Time Harmonic Eddy Current Problems. [Preprint] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/5610/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng