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- Xavier Antoine, Chokri Chniti, Karim Ramdani
- J. Comput. Physics
- 2008

The aim of this paper is to propose a numerical strategy for computing the solution of two-dimensional time-harmonic acoustic multiple scattering problems at high-frequency. The scatterers are assumed to be circular, leading therefore to semi-analytical representation formulae of the scattered field through the solution of a large linear system of… (More)

- Chokri Chniti, Frédéric Nataf, Francis Nier
- J. Sci. Comput.
- 2009

This article deals with a local improvement of domain decomposition methods for 2-dimensional elliptic problems for which either the geometry or the domain decomposition presents conical singularities. After explaining the main results of the theoretical analysis carried out in [4], the numerical experiments presented in this article confirm the optimality… (More)

- Chokri Chniti
- 2008

In this paper the author certifies that the same approach proposed in previous works [5, 6] can be applied to more general operators than the Laplacian. We consider here the case of reaction-diffusion problems with piecewise constant coefficients. The problem reduces to determining the coefficients of some transmission boundary conditions to obtain fast… (More)

- Chokri Chniti, Eisa Ali Alhazmi
- 2015

A smoothing transformation, Legendre and Chebyshev collocation method are presented to solve numerically the Voltterra-Fredholm Integral Equations with Logarithmic Kernel. We transform the Volterra Fredholm integral equations to a system of Fredholm integral equations of the second kind, using a smoothing transformation to cancel the singularities in the… (More)

- Hasan Alzubaidi, Xavier Antoine, Chokri Chniti
- Applied Mathematics and Computation
- 2016

- Bertrand Thierry, Xavier Antoine, Chokri Chniti, Hasan Alzubaidi
- Computer Physics Communications
- 2015

The aim of this paper is to describe a Matlab toolbox, called μ-diff, for modeling and numerically solving two-dimensional complex multiple scattering by a large collection of circular cylinders. The approximation methods in μ-diff are based on the Fourier series expansions of the four basic integral operators arising in scattering theory. Based on these… (More)

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