Overview
ABSTRACT
This article gives the basics for finite element problems related to meshes. We are interested in the definition of a mesh. Thanks to the notion of metric, the geometric point of view is replaced by an algebraic and analytical point of view allowing to unify the notions of mesh, mesh adaptation and remeshing. In this new concept, a mesh is only a Riemannian space in which the metrics characterize the elements.
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Read the articleAUTHORS
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Abel CHEROUAT : University Professor - Unité de Recherche Génération Automatique de Maillage et Méthodes Avancées Troyes (GAMMA3) Université de Technologie de Troyes, France
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Houman BOROUCHAKI : University Professor - Unité de Recherche Génération Automatique de Maillage et Méthodes Avancées Troyes (GAMMA3) Université de Technologie de Troyes, France
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Florian BLACHERE : Senior Lecturer - Unité de Recherche Génération Automatique de Maillage et Méthodes Avancées Troyes (GAMMA3) Université de Technologie de Troyes, France
INTRODUCTION
The finite element method is a powerful tool for numerically solving the partial differential equations involved in modeling most physical phenomena
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KEYWORDS
finite elements | Metrics | Riemannian space | Mesh
Metric and mesh: Definition and theoretical basics
Notion of metric
Bibliography
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