The Performance of Additive Singular Basis Functions for Triangles

摘要

In the recent past the authors have developed new hierarchical scalar and vector basis functions for modeling corner singularities in electromagnetic fields. The triangular cell bases (described in other papers) are of the additive kind, with singular bases superimposed with a full set of existing hierarchical non-singular polynomial basis functions to form the representation. The present work and the Conference presentation are aimed at illustrating the accuracy and cost as the number of degrees of freedom are systematically incremented.