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Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

Publications associées (109)

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Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment

Erik Burman, Benjamin Stamm

In this Note we prove that in two and three space dimensions, the symmetric and non-symmetric discontinuous Galerkin method for second order elliptic problems is stable when using piecewise linear elements enriched with quadratic bubbles without any penali ...

2008

Situational Awareness Using A Single Omnidirectional Camera

Pierre Vandergheynst, Luigi Bagnato, Laurent Jacques, Eugenio De Vito

To retrieve scene informations using a single omnidirectional camera, we have based our work on a shape from texture method proposed by Lindeberg. To do so, we have adapted the method of Lindeberg, that was developed for planar images, in order to use it o ...

2008

An algorithm for the recovery of disrupted airline schedules

Michel Bierlaire, Matteo Salani, Niklaus Eggenberg

We consider the recovery of an airline schedule after an unpredicted event, commonly called disruption, that makes the planned schedule unfeasible. In particular we consider the aircraft recovery problem for a heterogeneous fleet of aircrafts, made of regu ...

2008

Fixed point free involutions on Riemann surfaces

Hugo Parlier

In this paper, involutions without fixed points on hyperbolic closed Riemann surface are discussed. For an orientable surface X of even genus with an arbitrary Riemannian metric d admitting an involution tau, it is known that min (p is an element of X) d(p ...

The Hebrew University Magnes Press, Springer2008

Optimal Polynomial Filtering for Accelerating Distributed Consensus

Pascal Frossard, Effrosyni Kokiopoulou

In the past few years, the problem of distributed consensus has received a lot of attention, particularly in the framework of ad hoc sensor networks. Most methods proposed in the literature attack this problem by distributed linear iterative algorithms, wi ...

2008

On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws

Erik Burman

A finite element method for Burgers' equation is studied. The method is analyzed using techniques from stabilized finite element methods and convergence to entropy solutions is proven under certain hypotheses on the artificial viscosity. In particular we a ...

Springer Netherlands2007

Finite element methods with patches and applications

Joël Wagner

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 ...

EPFL2006

On the exponential convergence of Matching Pursuits in quasi-incoherent dictionaries

Pierre Vandergheynst, Rémi Gribonval

The purpose of this paper is to extend results by Villemoes and Temlyakov about exponential convergence of Matching Pursuit with some structured dictionaries for ``simple'' functions in finite or infinite dimension. Our results are based on an extension of ...

2006

Stability of spherically symmetric wave maps

Joachim Krieger

We study Wave Maps from R2+1 to the hyperbolic plane H-2 with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some H1+mu, mu > 0. We show that such Wave Maps don't develop singularities i ...

2006