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Theses

Méthode de Galerkin discontinue pour un modèle stratigraphique

Abstract : In this Thesis, we are interested in a mathematical problem arising from the modeling of maximal erosion rates in geological stratigraphy. A global constraint on $\partial_tu$, the time-derivative of the solution, is the main feature of this model. This leads to a non-linear pseudoparabolic equation with a diffusion coefficient which is a nonlinear function of $\partial_tu$. Moreover, the problem degenerates in order to take implicitly into account the constraint. We present a result of existence of a solution to the continuous problem. Then, a DgFem (discontinuous Galerkin finite element method) for its numerical approximation is developed. Our goal is to use the properties of piecewise constant approximation to keep implicitly the constraint.
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https://tel.archives-ouvertes.fr/tel-00324012
Contributor : Abdelaziz Taakili <>
Submitted on : Tuesday, September 23, 2008 - 5:28:31 PM
Last modification on : Friday, January 15, 2021 - 9:24:11 AM
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Abdelaziz Taakili. Méthode de Galerkin discontinue pour un modèle stratigraphique. Mathématiques [math]. Université de Pau et des Pays de l'Adour, 2008. Français. ⟨tel-00324012⟩

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