2-DIMENSIONAL SINGULAR VECTOR ELEMENTS FOR FINITE-ELEMENT ANALYSIS

The finite-element method (FEM) exhibits a reduced convergence rate wh en used for the analysis of geometries containing sharp edges where th e electromagnetic field is singular. The convergence of the method can be improved by introducing singular elements that model analytically predicted singular behavior, A number of authors have developed singul ar elements that are compatible with the scalar FESI. In this paper, w e propose a new singular element that is compatible with edge-based ve ctor finite elements and can cope with any order of singularity while preserving the sparsity of the FEM equations, Edge-based singular elem ents more correctly model singular fields and thus require fewer unkno wns, while avoiding the introduction of spurious modes in the numerica l solution. Numerical results verify that the convergence of the FER-I is significantly improved.