Higher order hierarchical legendre basis functions for iterative integral equation solvers with curvilinear surface modeling
Article
Jørgensen, E, Volakis, JL, Meincke, P et al. (2002). Higher order hierarchical legendre basis functions for iterative integral equation solvers with curvilinear surface modeling
. 2015 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING, 4 618-621. 10.1109/APS.2002.1017060
Jørgensen, E, Volakis, JL, Meincke, P et al. (2002). Higher order hierarchical legendre basis functions for iterative integral equation solvers with curvilinear surface modeling
. 2015 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING, 4 618-621. 10.1109/APS.2002.1017060
A set of higher order hierarchical vector basis functions for the electric surface current in MoM codes with curvilinear quad patches was investigated. The basis was based on Legendre polynomials, modified to enforce current continuity, and were rather simple to implement in addition to allowing for a flexible selection of the polynomial order. Numerical results obtained with EFIE and CFIE show that the hierarchical Legendre basis provides a better condition number of the MoM matrix than existing interpolatory bases.
