A Calderón multiplicative preconditioner for coupled surface-volume electric field integral equations

A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. © 2006 IEEE.

Bağci, H., Andriulli, F. P., Cools, K., Olyslager, F., & Michielssen, E. (2010). A Calderón Multiplicative Preconditioner for Coupled Surface-Volume Electric Field Integral Equations. IEEE Transactions on Antennas and Propagation, 58(8), 2680–2690. doi:10.1109/tap.2010.2050419

This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds and in part by NSF Grant DMS 0713771.

Institute of Electrical and Electronics Engineers (IEEE)

IEEE Transactions on Antennas and Propagation


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