Méthodes spectrales dans une portion de disque
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This paper is devoted to spectral methods for the discretization of elliptic equations in a part of a disk, relying on the use of polar coordinates and approximation by high degree polynomials with respect to each coordinate. We describe the discretization for two model problems: the Poisson equation and the bilaplacian equation, we perform the numerical analysis in each case and we present numerical results.