An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations - Archive ouverte HAL
Article Dans Une Revue International Journal of Computer Mathematics Année : 2008

An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations

Résumé

The solution of the two-dimensional scattering problem for an homogeneous dielectric cylinder of arbitrary shape is considered. The numerical approach is based on a two-field system of integral equations solved by a Krylov subspace method. To accelerate and to improve the convergence of this solver, an efficient and robust preconditioner, based on the Calderón formulae, is developed. Several numerical simulations, for a wide range of physical parameters, validating the choice of this preconditioner are presented.
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Dates et versions

hal-00141045 , version 1 (11-04-2007)

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Citer

Xavier Antoine, Yassine Boubendir. An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. International Journal of Computer Mathematics, 2008, 85 (10), pp.1473-1490. ⟨10.1080/00207160802033335⟩. ⟨hal-00141045⟩
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