Concept

Types of mesh

Related publications (144)

Multiscale algorithm with patches of finite elements

Jacques Rappaz, Marco Picasso, Vittoria Augusta Rezzonico Janka

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 ...

2008

Parallel mesh adaptive techniques for complex flow simulation

Angelo Casagrande

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 ...

EPFL2008

A new algorithm to simulate the dynamics of a glacier: theory and applications

Jacques Rappaz, Marco Picasso, Guillaume Jouvet, Heinz Blatter

We propose a novel Eulerian algorithm to compute the changes of a glacier geometry for given mass balances. The surface of a glacier is obtained by solving a transport equation for the volume of fluid (VOF). The surface mass balance is taken into account b ...

International Glaciological Society2008

Low order discontinuous Galerkin methods for second order elliptic problems

Erik Burman, Benjamin Stamm

We consider DG-methods for 2nd order scalar elliptic problems using piecewise aﬃne approximation in two or three space dimensions. We prove that both the symmetric and the non-symmetric version of the DG-method have regular system matrices also without pen ...

2008

Multiscale algorithm with patches of finite elements and applications

Vittoria Augusta Rezzonico Janka

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 ...

EPFL2007

Implicit Meshes for Effective Silhouette Handling

Pascal Fua, Mathieu Salzmann, Slobodan Ilic

Using silhouettes in uncontrolled environments typically requires handling occlusions as well as changing or cluttered backgrounds, which limits the applicability of most silhouette based methods. For the purpose of 3--D shape modeling, we show that repres ...

Springer Verlag2007

Metallic supporting grid for ultrathin electrolyte membranes in solid oxide fuel cells

Paul Muralt, Samuel Rey-Mermet

A solid oxide fuel cell structure obtainable by selective electrochemical processing, comprising an electrolyte membrane (4) formed by a thin film more than 50nm but less than l0[mu]m thick, covering a supporting structure (1) made of a bulk substrate, the ...

2007

Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling

Alfio Quarteroni, Marco Discacciati

In this paper we consider a coupled system made of the Stokes and Darcy equations, and we propose some iteration-by-subdomain methods based on Robin conditions on the interface. We prove the convergence of these algorithms, and for suitable finite element ...

2007

Minimal stabilization of discontinuous Galerkin finite element methods for hyperbolic problems

Erik Burman, Benjamin Stamm

We consider a discontinuous Galerkin finite element method for the advection– reaction equation in two space–dimensions. For polynomial approximation spaces of degree greater than or equal to two on triangles we propose a method where stability is obtained ...

2007

Geometric modeling based on triangle meshes

Mark Pauly

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 ...

2006

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