Displaying similar documents to “Bipolar Barotropic Non-Newtonian Compressible Fluids”

-FEM for three-dimensional elastic plates

Monique Dauge, Christoph Schwab (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this work, we analyze hierarchic -finite element discretizations of the full, three-dimensional plate problem. Based on two-scale asymptotic expansion of the three-dimensional solution, we give specific mesh design principles for the -FEM which allow to resolve the three-dimensional boundary layer profiles at robust, exponential rate. We prove that, as the plate half-thickness tends to zero, the -discretization is consistent with the three-dimensional solution to any power of...

On the asymptotic properties of a simple estimate of the Mode

Christophe Abraham, Gérard Biau, Benoît Cadre (2010)

ESAIM: Probability and Statistics

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We consider an estimate of the mode of a multivariate probability density with support in d using a kernel estimate drawn from a sample . The estimate is defined as any in {} such that f n ( x ) = max i = 1 , , n f n ( X i ) . It is shown that behaves asymptotically as any maximizer θ ^ n of . More precisely, we prove that for any sequence ( r n ) n 1 of positive real numbers such that r n and r n d log n / n 0 , one has r n θ n - θ ^ n 0 in probability. The asymptotic normality of follows without further work.

An improved derandomized approximation algorithm for the max-controlled set problem

Carlos Martinhon, Fábio Protti (2011)

RAIRO - Theoretical Informatics and Applications

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A vertex of a graph = () is said to be by M V if the majority of the elements of the neighborhood of  (including itself) belong to . The set is a in if every vertex i V is controlled by . Given a set M V and two graphs = ( V , E 1 ) and = ( V , E 2 ) where E 1 E 2 , the consists of deciding whether there exists a sandwich graph = () (, a graph where E 1 E E 2 ) such that is a monopoly in = (). If the answer to the is No, we then consider the , whose objective is to find a sandwich...

An improved derandomized approximation algorithm for the max-controlled set problem

Carlos Martinhon, Fábio Protti (2011)

RAIRO - Theoretical Informatics and Applications

Similarity:

A vertex of a graph = () is said to be by M V if the majority of the elements of the neighborhood of  (including itself) belong to . The set is a in if every vertex i V is controlled by . Given a set M V and two graphs = ( V , E 1 ) and = ( V , E 2 ) where E 1 E 2 , the consists of deciding whether there exists a sandwich graph = () (, a graph where E 1 E E 2 ) such that is a monopoly in = (). If the answer to the is No, we then consider the , whose objective is to find a sandwich...

Structure of approximate solutions of variational problems with extended-valued convex integrands

Alexander J. Zaslavski (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand : × { } , where is the -dimensional Euclidean space. We obtain a full description of the structure of the approximate solutions which is independent of the length of the interval, for all sufficiently large intervals.

Long-term planning short-term planning in the asymptotical location problem

Alessio Brancolini, Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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Given the probability measure over the given region Ω n , we consider the optimal location of a set composed by points in in order to minimize the average distance Σ Ω dist ( x , Σ ) d ν (the classical optimal facility location problem). The paper compares two strategies to find optimal configurations: the long-term one which consists in placing all points at once in an optimal position, and the short-term one which consists in placing the points one by one adding at each step at most one point and...

A singular perturbation problem in a system of nonlinear Schrödinger equation occurring in Langmuir turbulence

Cédric Galusinski (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The aim of this work is to establish, from a mathematical point of view, the limit α → +∞ in the system i t E + ( . E ) - α 2 × × E = - | E | 2 σ E , where E : 3 3 . This corresponds to an approximation which is made in the context of Langmuir turbulence in plasma Physics. The -subcritical (that is 2/3) and the -subcritical (that is 2) are studied. In the physical case = 1, the limit is then studied for the H 1 ( 3 ) norm.