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2008•Unpublished venueRequires access

A multiplicative Calderón preconditioner for the electric field integral equation

Francesco P. Andriulli, Kristof Cools, Hakan Bağcı, F. Olyslager, Annalisa Buffa, Snorre H. Christiansen, Eric Michielssen

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Abstract

A new technique for preconditioning electric field integral equations (EFIEs) by leveraging Calderón identities is presented. In contrast to all previous Calderón EFIE preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments codes. Numerical results demonstrate that the method of moments (MoM) matrix equations obtained using the proposed preconditioner converge rapidly, independently of the discretization density.

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What this paper is about

A new technique for preconditioning electric field integral equations (EFIEs) by leveraging Calderón identities is presented. In contrast to all previous Calderón EFIE preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments codes. Numerical results demonstrate that the method of moments (MoM) matrix equations obtained using the proposed preconditioner converge rapidly, independently of the discretization density.

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Available abstract

A new technique for preconditioning electric field integral equations (EFIEs) by leveraging Calderón identities is presented. In contrast to all previous Calderón EFIE preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments codes. Numerical results demonstrate that the method of moments (MoM) matrix equations obtained using the proposed preconditioner converge rapidly, independently of the discretization density.

Key concepts: Preconditioner, Electric-field integral equation, Discretization, Integral equation, Multiplicative function, Method of moments (probability theory), Mathematics, Applied mathematics

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