Improving condition number and convergence of the surface integral-equation method of moments for penetrable bodies

• DOI: 10.1364/oe.20.017237
• Publication Date: 2012-07-14T03:26:48Z
• Authors: Luis Landesa; Marta Gómez Araújo; José Manuel Taboada; Luis Bote; Fernando Obelleiro
• Keywords: Impedance parameters; Condition number; Matrix (chemical analysis)

Most of the surface integral equation (SIE) formulations for composite conductor and/or penetrable objects suffer from balancing problems mainly because very different scales equivalent electric and magnetic currents.Consequently, impedance matrix usually has high-or ill-condition number due to imbalance between blocks.Using an efficient left right preconditioner elements are balanced.The proposed approach improves balance without modifying underlying SIE formulation, which can be selected solely in terms accuracy.The numerical complexity this is O(N) with N unknowns, it easily included on any existing code implementation.