Publications

Type de document

Mots clés

Auteur

Du

Au

Affichage de 861 à 870 sur 947

Pré-publication, Document de travail

Time-domain study of the Drude-Born-Fedorov model for a class of heterogeneous chiral materials

Patrick Ciarlet, Guillaume Legendre, Serge Nicaise

We deal with the well-posedness of the transient Maxwell equations in a particular class of heterogeneous chiral material modeled by the Drude-Born-Fedorov constitutive relations. A new formulation of the underlying evolution problem allows us to correct a previous result establishing the existence…

2011. ⟨hal-00430196v2⟩

Article dans une revue

An extended finite element method for 2D edge elements

Stephanie Lohrengel, François Lefèvre, Serge Nicaise

A new extended Finite Element Method based on two-dimensional edge elements is presented and applied to solve the time-harmonic Maxwell equations in domains with cracks. Error analysis is performed and shows the method to be convergent with an order of at least O(h1/2-η). The implementation of the…

International Journal of Numerical Analysis and Modeling, 2011, 8 (4), pp.641-645. ⟨hal-01888373⟩

Article dans une revue

Optimal convergence analysis for the extended finite element method

Serge Nicaise, Yves Renard, Elie Chahine

We establish some optimal a priori error estimate on some variants of the eXtended Finite Element Method (Xfem), namely the Xfem with a cut-off function and the standard Xfem with a fixed enrichment area. The results are established for the Lame system (homogeneous isotropic elasticity) and the…

International Journal for Numerical Methods in Engineering, 2011, 86, pp.528-548. ⟨10.1002/nme.3092⟩. ⟨hal-00339853v2⟩

Article dans une revue

Singular behavior of the solution of the Helmholtz equation in weighted L^p -Sobolev spaces

Colette De Coster, Serge Nicaise

We study the Helmholtz equation − ∆u + zu = g in Ω, with Dirichlet boundary conditions in a polygonal domain Ω, where z is a complex number. Here g belongs to L^p_µ (Ω) = {v ∈ L^p_loc (Ω) : r^µ v ∈ L^p (Ω)}, with a real parameter µ and r(x) the distance from x to the set of corners of Ω. We give…

Advances in Differential Equations, 2011, 16, pp.165-198. ⟨hal-03721687⟩

Article dans une revue

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction

David Dereudre, Frédéric Lavancier

General models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as extensions of Ord's process, are considered. The interaction may occur on each cell of the tessellation and between neighbour cells. The tessellation may also be subjected to a geometric hardcore interaction,…

Computational Statistics and Data Analysis, 2011, 55 (1), pp.498-519. ⟨10.1016/j.csda.2010.05.018⟩. ⟨hal-00402029v2⟩

Article dans une revue

Singular behavior of the solution of the periodic-Dirichlet heat equation in weighted L^p -Sobolev spaces

Colette De Coster, Serge Nicaise

We consider the heat equation in a polygonal domain Ω of the plane in weighted L^p-Sobolev spaces ∂_t u − ∆u = h, in Ω × ] − π, π[, u = 0, on ∂Ω × [−π, π], u(•, −π) = u(•, π), in Ω. Here h belongs to L^p (−π, π; L^p_µ (Ω)), where L^p_µ (Ω) = {v ∈ L^p_loc (Ω) : r^µ v ∈ L p (Ω)}, with a real…

Advances in Differential Equations, 2011, 16, pp.221-256. ⟨hal-03721684⟩

Article dans une revue

Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system

Emmanuel Creusé, Serge Nicaise, Emmanuel Verhille

We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div ) conforming finite elements and equilibrated fluxes. It is shown that this estimator gives rise to an upper bound where the constant is one up…

Calcolo, 2011, 48 (4), pp.307-335. ⟨10.1007/s10092-011-0042-0⟩. ⟨hal-00531654⟩

Article dans une revue

Quadratic functors on pointed categories

Manfred Hartl, Christine Vespa

We study polynomial functors of degree $2$, called quadratic, with values in the category of abelian groups $Ab$, and whose source category is an arbitrary category $\C$ with null object such that all objects are colimits of copies of a generating object $E$ which is small and regular projective;…

Advances in Mathematics, 2011, 226 (5), pp.3927-4010. ⟨10.1016/j.aim.2010.11.008⟩. ⟨hal-00334292v3⟩

Communication dans un congrès

Matériaux composites alumine/aluminium à gradient de fonction : modélisation numérique pour le calcul de la conductivité thermique effective

Nabil Ferguen, Emmanuel Bellenger, Mohamed Guessasma, Claudia Cogné, Christine Pelegris, Christian Courtois, Olivier Rigo

Ce travail propose de développer de nouveaux matériaux fonctionnels dans le domaine du transfert de chaleur. Ces matériaux à gestion de flux de chaleur doivent être capables de conduire à un management thermique. Un modèle numérique est développé permettant de simuler le procédé expérimental d…

CFM 2011 - 20ème Congrès Français de Mécanique, Aug 2011, Besançon, France. ⟨hal-03422866⟩

Article dans une revue

Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme

Frederic Bernicot, Juliette Venel

Here we present well-posedness results for first order stochastic differential inclusions, more precisely for sweeping process with a stochastic perturbation. These results are provided in combining both deterministic sweeping process theory and methods concerning the reflection of a Brownian…

Journal of Differential Equations, 2011, 251 (4-5), pp.1195-1224. ⟨10.1016/j.jde.2011.03.010⟩. ⟨hal-00448064⟩