Πλοήγηση ανά Συγγραφέα "Bernardi, C."
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Article
The Laplace equation with discontinuous boundary data: Convergence of the spectral element discretization
Bernardi, C.; Karageorghis, Andreas (1997)We prove an existence result for the Laplace equation in a disk with discontinuous Dirichlet boundary conditions: 0 on part of the boundary and 1 on its complement. The problem is discretized by the mortar spectral element ...
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Article
Méthodes spectrales dans une portion de disque
Bernardi, C.; Karageorghis, Andreas (1996)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. ...
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Article
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
Belhachmi, Z.; Bernardi, C.; Karageorghis, Andreas (2007)This paper deals with the mortar spectral element discretization of two equivalent problems, the Laplace equation and the Darcy system, in a domain which corresponds to a nonhomogeneous anisotropic medium. The numerical ...
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Spectral element discretization of the circular driven cavity, part I: The Laplace equation
Bernardi, C.; Karageorghis, Andreas (1999)This paper is devoted to the spectral element discretization of the Laplace equation in a disk when provided with discontinuous boundary data. Relying on an appropriate variational formulation, we propose a discrete problem ...
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Spectral element discretization of the circular driven cavity, Part II: The bilaplacian equation
Belhachmi, Z.; Bernardi, C.; Karageorghis, Andreas (2001)This paper deals with the spectral element discretization of the bilaplacian equation in a disk with discontinuous boundary data. Relying on an appropriate variational formulation, we propose a discrete problem and prove ...
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Article
Spectral element discretization of the circular driven cavity. Part IV: The Navier-Stokes equations
Belhachmi, Z.; Bernardi, C.; Karageorghis, Andreas (2004)This paper deals with the spectral element discretization of the Navier-Stokes equations in a disk with discontinuous boundary data, which is known as the driven cavity problem. The numerical treatment does not involve any ...