eprintid: 5610
rev_number: 27
eprint_status: archive
userid: 1
dir: disk0/00/00/56/10
datestamp: 2005-07-04 13:55:14
lastmod: 2012-08-14 15:00:44
status_changed: 2012-08-14 15:00:44
type: preprint
metadata_visibility: show
creators_name: Sterz, Oliver
creators_name: Hauser, Andreas
creators_name: Wittum, Gabriel
title: Adaptive Local Multigrid Methods for the Solution of Time Harmonic Eddy Current Problems
ispublished: pub
subjects: ddc-510
divisions: i-708000
keywords: eddy currents , edge elements , local multigrid , adaptivity , red-green refinement
cterms_swd: Wirbelstrom
cterms_swd: Mehrgitterverfahren
cterms_swd: Adaptives Verfahren
cterms_swd: Lokale Verfeinerung
cterms_swd: Finite-Elemente-Methode
abstract: 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.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 65N55, 65N30, 78M10
date: 2005
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00005610
portal_cluster_id: p-iwrpp
portal_order: 05610
ppn_swb: 1646174682
own_urn: urn:nbn:de:bsz:16-heidok-56105
language: eng
bibsort: STERZOLIVEADAPTIVELO2005
full_text_status: public
series: IWR-Preprints
citation:   Sterz, Oliver ; Hauser, Andreas ; Wittum, Gabriel  (2005) Adaptive Local Multigrid Methods for the Solution of Time Harmonic Eddy Current Problems.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/5610/1/preprint.pdf