Sparse tensor edge elements. http://dx.doi.org/10.1007/s10543-013-0435-3

Abstract

We consider the tensorized operator for the Maxwell cavity source problem in frequency domain. We establish a discrete inf-sup condition for its Ritz-Galerkin discretization on sparse tensor product edge element spaces built on nested sequences of meshes. Our main tool is a generalization of the edge element Fortin projector to a tensor product setting. The techniques extend to the surface boundary edge element discretization of tensorized electric field integral equation operators.