Analysis and efficient algorithms for a set of generalized RWG basis functions

This talk will present a new set of generalized RWG basis functions that are provably suitable for a stable discretization of H_div^-1/2 on aggregated domains. The new functions will be accompanied with a family of newly developed linear-in-complexity algorithms to obtain and handle them. These algorithms will render the basis functions fully compatible with quasi linear matrix vector multiplication algorithms. Numerical results will be presented showing the practical application of the presented methods in real case scenarios.