Displaying similar documents to “Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés”

Analyse de récession et résultats de stabilité d'une convergence variationnelle, application à la théorie de la dualité en programmation mathématique

Driss Mentagui (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

Let be a Banach space and its continuous dual. (resp. ) denotes the set of nonempty convex closed subsets of (resp. ω*-closed subsets of ) endowed with the topology of uniform convergence of distance functions on bounded sets. This topology reduces to the Hausdorff metric topology on the closed and bounded convex sets [16] and in general has a Hausdorff-like presentation [11]. Moreover, this topology is well suited for estimations and constructive approximations [6-9]. We prove...

Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini

Slim Chaabane, Mohamed Jaoua (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

This work deals with a non linear inverse problem of reconstructing an unknown boundary , the boundary conditions prescribed on being of Signorini type, by using boundary measurements. The problem is turned into an optimal shape design one, by constructing a Kohn & Vogelius-like cost function, the only minimum of which is proved to be the unknown boundary. Furthermore, we prove that the derivative of this cost function with respect to a direction depends only on the state ...

Correcteurs proportionnels-intégraux généralisés

Michel Fliess, Richard Marquez, Emmanuel Delaleau, Hebertt Sira–Ramírez (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

For constant linear systems we are introducing and , which permit to bypass the derivative term in the classic PID controllers and more generally the usual asymptotic observers. Our approach, which is mainly of algebraic flavour, is based on the module-theoretic framework for linear systems and on operational calculus in Mikusiński's setting. Several examples are discussed.

Sur quelques algorithmes récursifs pour les probabilités numériques

Gilles Pagès (2010)

ESAIM: Probability and Statistics

Similarity:

The aim of this paper is to take an in-depth look at the long time behaviour of some continuous time Markovian dynamical systems and at its numerical analysis. We first propose a short overview of the main ergodicity properties of time continuous homogeneous Markov processes (stability, positive recurrence). The basic tool is a Lyapunov function. Then, we investigate if these properties still hold for the time discretization of these processes, either with constant or decreasing...

État de l'art des méthodes “d'optimisation globale”

Gérard Berthiau, Patrick Siarry (2010)

RAIRO - Operations Research

Similarity:

We present a review of the main “global optimization" methods. The paper comprises one introduction and two parts. In the introduction, we recall some generalities about non linear constraint-less optimization and we list some classifications which have been proposed for the global optimization methods. We then describe, in the first part, various “classical" global optimization methods, most of which available long before the appearance of Simulated Annealing (a key event in this...

Transfert de Charge dans un Réseau de Processeurs Totalement Connectés

Maryse Béguin (2010)

RAIRO - Operations Research

Similarity:

In this paper, a model of the load transfer on a fully connected net is presented. Each processor can accept at most tasks. A load difference of two tasks between two processors is a prohibited situation and when it may appear, an immediat and instantaneous transfer is decided. The performances of the system are evaluated by the following indices: the reject probability, the throughput, the mean response time, the stationary probability distribution for a processor to host tasks. The...

Formulations Mixtes Augmentées et Applications

Boujemâa Achchab, Abdellatif AGOUZAL (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

We propose and analyse a abstract framework for augmented mixed formulations. We give error estimate in the general case: conforming and nonconforming approximations with or without numerical integration. Finally, error estimator is given. An example of stabilized formulation for Stokes problem is analysed.

Équidistribution vers le courant de Green

Frédéric Protin (2015)

Annales Polonici Mathematici

Similarity:

We establish an equidistribution result for the pull-back of a (1,1)-closed positive current in ℂ² by a proper polynomial map of small topological degree. We also study convergence at infinity on good compactifications of ℂ². We make use of a lemma that enables us to control the blow-up of some integrals in the neighborhood of a big logarithmic singularity of a plurisubharmonic function. Finally, we discuss the importance of the properness hypothesis, and we give some results in the...

Autour de nouvelles notions pour l'analyse des algorithmes d'approximation : de la structure de NPO à la structure des instances

Marc Demange, Vangelis Paschos (2010)

RAIRO - Operations Research

Similarity:

This paper is the continuation of the paper “” where a new formalism for polynomial approximation and its basic tools allowing an “absolute” (individual) evaluation the approximability properties of -hard problems have been presented and discussed. In order to be used for exhibiting a structure for the class  (the optimization problems of ), these tools must be enriched with an “instrument” allowing comparisons between approximability properties of different problems (these comparisons...

Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics

F. Bethuel, G. Orlandi, D. Smets (2004)

Journées Équations aux dérivées partielles

Similarity:

We discuss the asymptotics of the parabolic Ginzburg-Landau equation in dimension N ≥ 2 . Our only asumption on the initial datum is a natural energy bound. Compared to the case of “well-prepared” initial datum, this induces possible new energy modes which we analyze, and in particular their mutual interaction. The two dimensional case is qualitatively different and requires a separate treatment.

Une heuristique d'optimisation globale basée sur la -transformation

Alexandre Dolgui, Valery Sysoev (2010)

RAIRO - Operations Research

Similarity:

In this paper, we study a heuristic algorithm for global optimization, which is based on the -transformation. We illustrate its behavior first, on a set of continuous non-convex objective functions – we search the global optimum of each function. Then, we give an example from combinatorial optimization. It concerns the optimization of scheduling rules parameters of a manufacturing system. Computational results are presented, they look encouraging.

Sur des inégalités intégrales et applications à la stabilité de quelques systèmes distribués non dissipatifs

Aïssa Guesmia

Similarity:

First we prove some new integral inequalities to obtain a precise estimate on behavior at infinity of a positive and not necessarily decreasing functon. This extends in many directions and improves in certain cases some integral inequalities due to A. Haraux, V. Komornik, P. Martinez, M. Eller et al. and F. Alabau-Boussouira concerning decreasing functions. Then we give applications to (internal or boundary, linear or nonlinear) stabilization of certain nondissipative distributed...

Les problèmes d'ordonnancement de type flow-shop hybride : état de l'art

A. Vignier, J.-C. Billaut, C. Proust (2010)

RAIRO - Operations Research

Similarity:

A special class of scheduling problems is studied in this paper, named Hybrid Flowshop, jobs have to be performed in a shop and each of them has the same routing (so this is a flowshop). A job consists in different operations. A set of machines are able to perform each operation and this set is called a stage. So when a job consists in two operations, there are two stages in the shop. After introducing the scheduling generalities, we define our preocupations and we propose a notation in...

Sur le caractere gaussien de la convergence presque partout

Michel Weber (2001)

Fundamenta Mathematicae

Similarity:

We establish functional type inequalities linking the regularity properties of sequences of operators S = (Sₙ) acting on L²-spaces with those of the canonical Gaussian process on the associated subsets of L² defined by (Sₙ(f)), f ∈ L². These inequalities allow us to easily deduce as corollaries Bourgain's famous entropy criteria in the theory of almost everywhere convergence. They also provide a better understanding of the role of the Gaussian processes in the study of almost everywhere...