Construction and ordering of edge elements for parallel computation

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.