Title :
Construction and ordering of edge elements for parallel computation
Author :
Iwashita, Takeshi ; Shimasaki, Masaaki
Author_Institution :
Data Processing Center, Kyoto Univ., Japan
fDate :
9/1/2001 12:00:00 AM
Abstract :
The present paper proposes a new method for the construction and ordering of edge elements for parallel computation. The use of virtual nodes generated in each volume element is presented as a means of introducing parallel ordering theory developed in finite difference analyses to finite edge element analyses. Eight-corner ordering and multi-color ordering are examined in the context of 3-D eddy-current analysis. The proposed method using 8-corner ordering can parallelize the ICCG solver in a finite edge element analysis without decreasing the convergence rate. A good balance between convergence and parallelism in the ICCG solver is obtained in the case of multi-color ordering
Keywords :
convergence of numerical methods; eddy currents; electrical engineering computing; finite element analysis; mathematics computing; parallel processing; 3D eddy-current analysis; 8-corner ordering; ICCG solver; convergence rate; edge elements; eight-corner ordering; finite difference analyses; finite edge element analyses; finite edge element analysis; multi-color ordering; parallel computation; parallel ordering theory; virtual nodes; volume element; Concurrent computing; Convergence; Finite difference methods; Finite element methods; Iterative methods; Kernel; Linear systems; Matrices; Parallel processing; Vectors;
Journal_Title :
Magnetics, IEEE Transactions on
