Zobrazeno 1 - 10
of 83
pro vyhledávání: '"CAUBET, FABIEN"'
This paper investigates the sensitivity analysis of a scalar mechanical contact problem described by a boundary value problem involving the Tresca's friction law. The sensitivity analysis is performed with respect to right-hand source and boundary te
Externí odkaz:
http://arxiv.org/abs/2410.11760
This paper investigates, without any regularization or penalization procedure, a shape optimization problem involving a simplified friction phenomena modeled by a scalar Tresca friction law. Precisely, using tools from convex and variational analysis
Externí odkaz:
http://arxiv.org/abs/2410.11750
In this work is considered a spectral problem, involving a second order term on the domain boundary: the Laplace-Beltrami operator. A variational formulation is presented, leading to a finite element discretization. For the Laplace-Beltrami operator
Externí odkaz:
http://arxiv.org/abs/2404.13994
This paper is devoted to the understanding of regularisation process in the shape optimization approach to the so-called Dirichlet inverse obstacle problem for elliptic operators. More precisely, we study two different regularisations of the very cla
Externí odkaz:
http://arxiv.org/abs/2404.03536
In this work is considered a diusion problem, referred to as the Ventcel problem, involving a second order term on the domain boundary (the Laplace-Beltrami operator). A variational formulation of the Ventcel problem is studied, leading to a nite ele
Externí odkaz:
http://arxiv.org/abs/2309.02437
In this work is provided a numerical study of a diffusion problem involving a second order term on the domain boundary (the Laplace-Beltrami operator) referred to as the \textit{Ventcel problem}.A variational formulation of the Ventcel problem is stu
Externí odkaz:
http://arxiv.org/abs/2302.02680
Akademický článek
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We are interested in geometric approximation by parameterization of two-dimensional multiple-component shapes, in particular when the number of components is a priori unknown. Starting a standard method based on successive shape deformations with a o
Externí odkaz:
http://arxiv.org/abs/1803.02843
The main result of the present theoretical paper is an original decomposition formula for the proximal operator of the sum of two proper, lower semicontinuous and convex functions $f$ and $g$. For this purpose, we introduce a new operator, called $f$
Externí odkaz:
http://arxiv.org/abs/1707.08509
Publikováno v:
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2017
In this paper, we investigate an optimal design problem motivated by some issues arising in population dynamics. In a nutshell, we aim at determining the optimal shape of a region occupied by resources for maximizing the survival ability of a species
Externí odkaz:
http://arxiv.org/abs/1704.08016