A Mixed-Order Divergence-Conforming Locally Corrected Nystrom Method for Triangular Cells

A locally corrected Nystrom method is presented that better models a mixed-order, divergence-conforming space on triangular cells. The theory is developed for a space that is complete to the same order for both the unknown quantity and its divergence. The method is implemented for the electric field integral equation, and convergence results are presented for scattering from a perfectly conducting sphere.