Title :
Hierarchical basis multilevel preconditioners for 3D magnetostatic problems
Author :
Tsukerman, Igor ; Plaks, Alexander
Author_Institution :
Dept. of Electr. Eng., Akron Univ., OH, USA
fDate :
5/1/1999 12:00:00 AM
Abstract :
The proposed algorithm combines the optimal convergence rate of the Bramble-Pasciak-Xu (BPX) preconditioner and a natural treatment of local refinement by the hierarchical basis multigrid (HBM) method. The BPX-HBM combination blends the best features of both methods and is applied to 3D magnetostatic scalar potential problems with first order tetrahedral elements. Adaptive local mesh refinement is incorporated in the overall computational process
Keywords :
convergence of numerical methods; finite element analysis; magnetostatics; 3D magnetostatic problems; 3D magnetostatic scalar potential problems; Bramble-Pasciak-Xu preconditioner; adaptive local mesh refinement; finite elements; first order tetrahedral elements; hierarchical basis multigrid method; hierarchical basis multilevel preconditioner; local refinement; optimal convergence rate; overall computational process; Convergence; Electromagnetics; Finite element methods; Iron; Magnetostatics; Mesh generation; Multigrid methods; Piecewise linear techniques; Polynomials; Robustness;
Journal_Title :
Magnetics, IEEE Transactions on
