Title :
Fast multigrid solution method for nested edge-based finite element meshes
Author :
Cingoski, Vlatko ; Tokuda, Ryutaro ; Noguchi, So ; Yamashita, Hideo
Author_Institution :
Electr. Power Co. of Macedonia, Skopje, Macedonia
fDate :
7/1/2000 12:00:00 AM
Abstract :
In this paper a fast multigrid solution method for edge-based finite element magnetostatic field computation with nested meshes is introduced and its efficiency is investigated. Special prolongation and restriction matrices were constructed according to the nature of the edge based field approximation. The comparison of the computation speed between the multigrid method and the ICCG method is also presented, showing that the multigrid method is very promising as a fast solution method for large system of equations
Keywords :
boundary-elements methods; finite element analysis; iterative methods; magnetic fields; magnetostatics; matrix algebra; partial differential equations; edge based field approximation; fast multigrid solution; iterative method; large system of equations; magnetostatic field computation; nested edge-based finite element meshes; partial differential equations; prolongation matrices; relaxation methods; restriction matrices; Electromagnetic fields; Equations; Finite element methods; Hardware; Iterative methods; Large-scale systems; Magnetostatics; Multigrid methods; Relaxation methods; Smoothing methods;
Journal_Title :
Magnetics, IEEE Transactions on
