Electromagnetic eigen analysis: Performance comparison of four node and four edge quadrilateral elements with the effect of distortion

Abstract

In edge finite elements, electric fields are obtained across edges of each element instead of nodal output as obtained in nodal finite element. In the nodal framework, the potential formulation provides required tangential continuity and normal discontinuity for electromagnetic analysis whereas this continuity requirement is directly attained in the edge framework. In this work, we have used the conversion technique to transfrom four node quadrilateral element to four edge quadrilateral element. Then, we have compared the performance of these elements by performing the eigenvalue analysis for two standard examples. Finally, we also analyzed the effect of distortion in those elements.