Browsing by Author "Belhachmi, Z."
Now showing items 1-6 of 6
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Article
Identification and reconstruction of a small leak zone in a pipe by a spectral element method
Belhachmi, Z.; Karageorghis, Andreas; Taous, K. (2006)This paper deals with the identification of a zone permitting fluid to leak out of a drain. Using the analogy with crack identification by boundary measurements, we give uniqueness and stability results and we propose an ...
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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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Article
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 ...
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Article
Spectral element discretization of the stokes equations in deformed axisymmetric geometries
Belhachmi, Z.; Karageorghis, Andreas (2011)In this paper, we study the numerical solution of the Stokes system in deformed axisymmetric geometries. In the azimuthal direction the discretization is carried out by using truncated Fourier series, thus reducing the ...
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Article
A spectral mortar element discretization of the Poisson equation with mixed boundary conditions
Belhachmi, Z.; Karageorghis, Andreas (2007)In this paper, we study a spectral mortar element discretization of the Poisson equation on a square subject to mixed boundary conditions of Dirichlet and Neumann type. We carry out the numerical analysis of the method and ...