Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers
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We develop a discretisation and solution technique for elliptic problems whose solutions may present strong variations, singularities, boundary layers and oscillations in localised regions. We start with a coarse finite element discretisation with a mesh s ...
Theoretical and numerical aspects of multi-scale problems are investigated. On one hand, mathematical analysis is done on a new method for numerically solving problems with multi-scale behavior using multiple levels of not necessarily nested grids. A parti ...
We develop a discretization and solution technique for elliptic problems whose solutions may present strong variations, singularities, boundary layers and oscillations in localized regions. We start with a coarse finite element discretization with a mesh s ...
Dans le cadre de la construction en bois, nous nous intéressons à la modélisation de maillages surfaciques 3D basés sur un modèle itératif inspiré du modèle IFS (Iterated Function System). Les formes modélisées doivent satisfaire certaines propriétés afin ...
Dynamic mesh adaptation on unstructured grids, by localised refinement and derefinement, is a very efficient tool for enhancing solution accuracy and optimise computational time. One of the major drawbacks however resides in the projection of the new nodes ...
This course is designed to cover the entire geometry processing pipeline based on triangle meshes. We will present the latest concepts for mesh generation and mesh repair, for geometry and topology optimizations like mesh smoothing, decimation, and remeshi ...
A numerical method is proposed to evaluate gradients on non-uniform, non-orthogonal, three-dimensional structured meshes of hexahedra, as commonly used by finite volume methods. The method uses isoparametric transforms on tetrahedra to evaluate the gradien ...
A numerical method for the simulation of the motion of a glacier in two and three dimensions is presented. Glacier ice is treated as an incompressible viscous fluid. The model equations are based on mass, momentum, energy conservation and a specific rheolo ...
A multiphase-field model for the description of coalescence in a binary alloy is solved numerically using adaptive finite elements with high aspect ratio. The unknown of the multiphase-field model are the three phase fields (solid phase 1, solid phase 2, a ...
We investigate laminar Bunsen flames with detailed chemistry and multicomponent transport. The governing equations are discretized by a finite element method on a sequence of adaptively refined, unstructured triangulations. The finite element method is an ...