Hierarchical basis multilevel preconditioners for 3D magnetostatic problems

Authors
Tsukerman, I Plaks, A
Citation
I. Tsukerman et A. Plaks, Hierarchical basis multilevel preconditioners for 3D magnetostatic problems, IEEE MAGNET, 35(3), 1999, pp. 1143-1146
Citations number
17
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
IEEE TRANSACTIONS ON MAGNETICS
ISSN journal
00189464 → ACNP
Volume
35
Issue
3
Year of publication
1999
Part
1
Pages
1143 - 1146
Database
ISI
SICI code
0018-9464(199905)35:3<1143:HBMPF3>2.0.ZU;2-2
Abstract
The proposed algorithm combines the optimal convergence rate of the Bramble -Pasciak-Xu (BPX) preconditioner and a natural treatment of local refinemen t by the Hierarchical Basis Multigrid (HBM) method. The BPX-HBM combi natio n blends the best features of both methods and is applied to 3D magnetostat ic scalar potential problems with first order tetrahedral elements. Adaptiv e local mesh refinement is incorporated in the overall computational proces s.