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Green-Expert - Un solveur généralisé associé à un générateur de formulations pour la méthode des intégrales de frontières

Abstract : Investigations in many sectors of industry and research require the modelling of phenomena observed in the physics of continuous media. The partial differential equations describing these phenomena are solved using a wide range of numerical methods. The models used are increasingly sophisticated, from both a physical and numerical point of view. Software used to solve these problems must therefore be capable of evolving. This work is a continuation of research efforts devoted to the modelling of complex phenomena that began with the development of the Flux-Expert® program, based on the Finite Element Method. In order to extend the possibilities offered by this program, we decided to combine it with the Boundary Element Method. After reviewing the Boundary Element Method, we propose a general decomposition of the numerical solution of a problem using this method. We then describe the Green-Expert software developed on the basis of this analysis. The original aspect of the approach lies in the combination of a formulations generator and a general solver. This solver is capable of solving any problem described using a formulation coming from the Generator and a discrete geometry. The last part of this thesis is devoted to the validation phase. Examples of the combined use of the Boundary Element• and the Finite Element Methods are presented and examples of 2D and 3D resolution are used to validate the Green-Expert Solver and Generator.
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https://hal.archives-ouvertes.fr/tel-01331763
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Submitted on : Tuesday, June 14, 2016 - 2:49:13 PM
Last modification on : Thursday, November 19, 2020 - 3:54:18 PM
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  • HAL Id : tel-01331763, version 1

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Patrick Sztulzaft. Green-Expert - Un solveur généralisé associé à un générateur de formulations pour la méthode des intégrales de frontières. Electromagnétisme. INSTITUT NATIONAL POLYTECHNIQUE DE GRENOBLE, 1994. Français. ⟨tel-01331763⟩

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