The efficient solution of direct medium problems by using translation techniques

N. Egidi and P. Maponi

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 8, 2361-2372

Abstract: We consider a Fredholm integral equation arising from a time-harmonic electromagnetic scattering problem for inhomogeneous media. The discretization of this equation usually produces a large dense linear system that must be solved by iterative methods. To speed up these methods we propose an efficient computation of the action of the corresponding coefficient matrix on a generic vector. This computation is mainly based on the well known addition formula for the Hankel functions and a simple translation argument. We present some numerical examples to show the efficiency of the proposed method.

Keywords: Electromagnetic scattering; Fredholm integral equation; Iterative method (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:8:p:2361-2372

DOI: 10.1016/j.matcom.2009.01.010

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