Title :
Application of the MLFMM to Calderon preconditioning for the EFIE
Author :
Stephanson, Matthew B. ; Lee, Jin-Fa
Author_Institution :
Ohio State Univ., Columbus, OH, USA
Abstract :
Recently, several papers have proposed using the Calderon identities to develop an analytic preconditioner for the electric field integral equation (EFIE). We extend these results by first giving simple, physical explanations for Calderon preconditioning and the special basis functions used to implement the method. Also, it is shown that the preconditioner can be easily integrated with the fast multipole method to allow for solving large problems. Finally, numerical results demonstrate that the preconditioner is effective even in the presence of a dense mesh and geometric singularities.
Keywords :
electric field integral equations; Calderon identities; Calderon preconditioning; EFIE; MLFMM; analytic preconditioner; dense mesh; electric field integral equation; fast multipole method; geometric singularities; special basis function; Assembly; Current; Dipole antennas; Eigenvalues and eigenfunctions; Impedance; Integral equations; Magnetic fields; Magnetic flux; Matrix decomposition; Testing;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2009. APSURSI '09. IEEE
Conference_Location :
Charleston, SC
Print_ISBN :
978-1-4244-3647-7
DOI :
10.1109/APS.2009.5172021