The combined field integral equation (CFIE) used for solving scattering and radiation problems, although a resonance-free formulation, suffers from an ill-conditioning that strongly depends on the frequency and discretization density, both in the low- and high-frequency regime, resulting in slow convergence rates for iterative solvers. This work presents a new preconditioning scheme for the CFIE that cures the low-and the high-frequency as well as the dense discretization breakdown. The new preconditioner for the CFIE is based on a spherical harmonics analysis and the proper regularization with Helmholtz-type operators. Numerical results have been obtained to prove the effectiveness of this new formulation in real scenarios.

On the Spectral Behavior and Normalization of a Resonance-Free and High-Frequency Stable Integral Equation / Chhim, Tiffany; Adrian, Simon B.; Andriulli, Francesco P.. - ELETTRONICO. - (2018), pp. 2447-2448. (Intervento presentato al convegno IEEE Antennas and Propagation Society International Symposium) [10.1109/APUSNCURSINRSM.2018.8608769].

On the Spectral Behavior and Normalization of a Resonance-Free and High-Frequency Stable Integral Equation

CHHIM, TIFFANY;Andriulli, Francesco P.
2018

Abstract

The combined field integral equation (CFIE) used for solving scattering and radiation problems, although a resonance-free formulation, suffers from an ill-conditioning that strongly depends on the frequency and discretization density, both in the low- and high-frequency regime, resulting in slow convergence rates for iterative solvers. This work presents a new preconditioning scheme for the CFIE that cures the low-and the high-frequency as well as the dense discretization breakdown. The new preconditioner for the CFIE is based on a spherical harmonics analysis and the proper regularization with Helmholtz-type operators. Numerical results have been obtained to prove the effectiveness of this new formulation in real scenarios.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2733432
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