Wide Frequency Band Numerical Approaches for Multiple Scattering Problems by Disks

Xavier Antoine (1, 2) , Karim Ramdani (1, 2) , Bertrand Thierry (1)

1 CORIDA - Robust control of infinite dimensional systems and applications
2 IECN - Institut Élie Cartan de Nancy

Efficient, robust and accurate algorithms are proposed for solving the multiple scattering problem by M circular obstacles for the whole spectrum of frequency. The representation of the solution is based on an integral equation formulation next solved by using Fourier basis. Numerical examples are provided to show that the approaches are efficient.

Mots clés: Multiple scattering; circular cylinders; wide frequency band; fast and accurate algorithms; preconditioning

Domaines: Equations aux dérivées partielles [math.AP]; Mathématiques générales [math.GM]

Xavier Antoine, Karim Ramdani, Bertrand Thierry. Wide Frequency Band Numerical Approaches for Multiple Scattering Problems by Disks. Journal of Algorithms and Computational Technology, 2012, 6 (2), pp.241-260. ⟨10.1260/1748-3018.6.2.241⟩. ⟨hal-00644373⟩