Hierarchical divergence-conforming basis functions for meshes withhexahedra, tetrahedra, and triangular prism cells.

Recently proposed hierarchical divergence-conforming Nedelec elements for volumetric cells are reviewed. The new basis functions span the mixed-order (or reduced-curl) spaces of Nedelec and can be used to deal with structures meshed by a mixture of cells of different geometry. The bases are constructed from orthogonal scalar polynomials to enhance their linear independence, which is a simpler process than an orthogonalization applied to the final vector functions. These bases are intended for use with numerical solutions of volume integral equations or differential equations containing divergence operators. Numerical results demonstrating the relative orthogonality of the basis functions will be presented at the conference.