Zobrazeno 1 - 10
of 3 153
pro vyhledávání: '"Oudet P"'
Autor:
Cécile Benoit-Lafarge
Publikováno v:
Distances et Médiations des Savoirs, Vol 47 (2024)
Externí odkaz:
https://doaj.org/article/ab8d4a7e60bd4a68b523b3ad4fc71c8e
Autor:
Nahon, Mickaël, Oudet, Édouard
We introduce a method to compute efficiently and with arbitrary precision a basis of harmonic functions with prescribed singularities on a general compact surface of genus two and more. This basis is obtained as a composition of theta functions and t
Externí odkaz:
http://arxiv.org/abs/2410.06763
This article revolves around shape and topology optimization, in the applicative context where the objective and constraint functionals depend on the solution to a physical boundary value problem posed on the optimized domain. We introduce a novel fr
Externí odkaz:
http://arxiv.org/abs/2409.07873
In this paper, we prove a Logarithmic Conjugation Theorem on finitely-connected tori. The theorem states that a harmonic function can be written as the real part of a function whose derivative is analytic and a finite sum of terms involving the logar
Externí odkaz:
http://arxiv.org/abs/2309.12459
On the numerical approximation of Blaschke-Santal\'o diagrams using Centroidal Voronoi Tessellations
Identifying Blaschke-Santal\'o diagrams is an important topic that essentially consists in determining the image $Y=F(X)$ of a map $F:X\to{\mathbb{R}}^d$, where the dimension of the source space $X$ is much larger than the one of the target space. In
Externí odkaz:
http://arxiv.org/abs/2302.00603
Autor:
Moinard, Sylvain, Oudet, Edouard, Piau, Didier, Coissac, Eric, Gonindard-Melodelima, Christelle
Modelling in biology must adapt to increasingly complex and massive data. The efficiency of the inference algorithms used to estimate model parameters is therefore questioned. Many of these are based on stochastic optimization processes that require
Externí odkaz:
http://arxiv.org/abs/2210.06520
This paper is motivated by the maximization of the $k$-th eigenvalue of the Laplace operator with Neumann boundary conditions among domains of ${\mathbb R}^N$ with prescribed measure. We relax the problem to the class of (possibly degenerate) densiti
Externí odkaz:
http://arxiv.org/abs/2204.11472
Autor:
Bogosel, Beniamin, Oudet, Edouard
This article provides numerical evidence that under volume constraint the ball is the set which maximizes the perimeter of the least-perimeter partition into cells with prescribed areas. We introduce a numerical maximization algorithm which performs
Externí odkaz:
http://arxiv.org/abs/2102.02891
Recently Fraser and Schoen showed that the solution of a certain extremal Steklov eigenvalue problem on a compact surface with boundary can be used to generate a free boundary minimal surface, i.e., a surface contained in the ball that has (i) zero m
Externí odkaz:
http://arxiv.org/abs/2007.15033