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The efficient solution of direct medium problems by using translation techniques

Author

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  • Egidi, N.
  • Maponi, P.

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.

Suggested Citation

  • Egidi, N. & Maponi, P., 2009. "The efficient solution of direct medium problems by using translation techniques," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(8), pages 2361-2372.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:8:p:2361-2372
    DOI: 10.1016/j.matcom.2009.01.010
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