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