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Etudes numériques du spectre d'un opérateur de Schrödinger avec champ magnétique constant.

Abstract : The first and second parts are about the computation of the first eigenvalue of families of Neumann operators, with finite elements. The third part concerns an eigenvalue problem for Schrödinger operator with constant magnetic field resulting from the theory of Ginzburg-Landau theory on supraconductivity. The numerical computation is based on finite element method with numerical integration. The existence of solutions for the variational formulation is studied. The fourth part is about the numerical resolution of the preceding problem for several domains with different geometries. They are in agreement with the theory.
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https://tel.archives-ouvertes.fr/tel-00011254
Contributor : Rahhal Janane <>
Submitted on : Wednesday, December 21, 2005 - 6:19:42 PM
Last modification on : Monday, October 19, 2020 - 11:03:46 AM
Long-term archiving on: : Saturday, April 3, 2010 - 7:46:02 PM

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Rahhal Janane. Etudes numériques du spectre d'un opérateur de Schrödinger avec champ magnétique constant.. Mathématiques [math]. Université de Nantes, 2005. Français. ⟨tel-00011254⟩

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