DocumentCode :
1535018
Title :
Full multigrid for magnetostatics using unstructured and non-nested meshes
Author :
De Gersem, Herbert ; Hameyer, Kay
Author_Institution :
ESAT, Katholieke Univ., Leuven, Heverlee, Belgium
Volume :
37
Issue :
5
fYear :
2001
fDate :
9/1/2001 12:00:00 AM
Firstpage :
3460
Lastpage :
3464
Abstract :
Adaptive mesh refinement and mesh enhancing techniques, commonly applied in electromagnetic finite element simulation, give raise to a hierarchy of nonnested unstructured grids. The application of geometrical multigrid is not straightforward. The prolongation operator is adapted to the particular properties of the mesh refinement. Anti-symmetric boundary conditions and nonlinear material characteristics are incorporated. The numerical experiment performed on the model of a synchronous machine shows optimal convergence for the proposed multigrid scheme whereas the convergence of classical nested multigrid becomes troublesome
Keywords :
convergence of numerical methods; finite element analysis; machine theory; magnetostatics; mesh generation; synchronous machines; adaptive mesh refinement; antisymmetric boundary conditions; convergence; electromagnetic field; finite element model; magnetostatics; mesh enhancement; multigrid method; nonlinear material characteristics; numerical simulation; prolongation operator; synchronous machine; unstructured nonnested mesh; Adaptive mesh refinement; Boundary conditions; Convergence of numerical methods; Design optimization; Finite element methods; Geometry; Iterative methods; Magnetostatics; Multigrid methods; Synchronous machines;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/20.952637
Filename :
952637
Link To Document :
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