Fully localized high-order div- and quasi-curl-conforming basis functions for multiplicative Calderón preconditioning of the EFIE

In this paper, the concepts presented by Valdes et al. are used to generate a set of completely localized high-order div- and quasi curl-conforming basis functions. The fact that these functions are localized allows for them to be pre-computed and stored in memory during the iterative solution process, resulting in significant CPU time and memory reductions. Numerical results show that the proposed localization procedure does not adversely affect the functions' preconditioning properties.