A novel conversion technique from nodal to edge finite element data structure for electromagnetic analysis

Standard nodal finite elements in the electromagnetic analysis have a well-known limitation of the occurrence of a spurious solution. In order to circumvent the problem, a penaltyfunction method or a regularization method is used with the potential formulation. Thesemethods solve the problem partially by pushing the spurious mode to the higher end of thespectrum. But it fails to capture singular eigenvalues in the case of the problem domainswith sharp edges and corners. To circumvent this limitation, edge elements have beendeveloped for the electromagnetic analysis where degree of freedom is along the edges.But most of the preprocessors develop complex meshes in the nodal framework. In thiswork, we have developed a novel technique to convert nodal data structure to edge datastructure for electromagnetic analysis. We have explained the conversion algorithm in details, mentioning associated complexities with relevant examples. The performance of thedeveloped algorithm has been demonstrated extensively with several examples.