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pro vyhledávání: '"Madiot, François"'
Autor:
Calloo, Ansar, Evans, Matthew, Lockyer, Henry, Madiot, François, Pryer, Tristan, Zanetti, Luca
We introduce a novel property of bounded Voronoi tessellations that enables cycle-free mesh sweeping algorithms. We prove that a topological sort of the dual graph of any Voronoi tessellation is feasible in any flow direction and dimension, allowing
Externí odkaz:
http://arxiv.org/abs/2412.01660
Autor:
Jamelot, Erell, Madiot, François
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 5, Pp 533-545 (2021)
The multigroup neutron $SP_N$ equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem. We stu
Externí odkaz:
https://doaj.org/article/be546fbc36134d0cb3db8ca08723400b
Autor:
Taumhas, Yonah Conjungo, Dusson, Geneviève, Ehrlacher, Virginie, Lelièvre, Tony, Madiot, François
In the aim of reducing the computational cost of the resolution of parameter-dependent eigenvalue problems, a model order reduction (MOR) procedure is proposed. We focus on the case of non-self-adjoint generalized eigenvalue problems, such as the sta
Externí odkaz:
http://arxiv.org/abs/2311.13902
Autor:
Taumhas, Yonah Conjungo, Dusson, Geneviève, Ehrlacher, Virginie, Lelièvre, Tony, Madiot, François
In this article, we propose a reduced basis method for parametrized non-symmetric eigenvalue problems arising in the loading pattern optimization of a nuclear core in neutronics. To this end, we derive a posteriori error estimates for the eigenvalue
Externí odkaz:
http://arxiv.org/abs/2307.05978
Akademický článek
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Autor:
Madiot, François
Ce travail a porté principalement sur le développement et l'étude de méthodes numériques de type éléments finis multi-échelles pour un problème d'advection diffusion multi-échelles dominé par l'advection. Deux types d'approches sont envisa
Externí odkaz:
http://www.theses.fr/2016PESC1052/document
Autor:
Kowalski, Mikolaj Adam, Larmier, Coline, Madiot, François, Durand, Johan, Lemaire, Sébastien, Zoia, Andrea
Publikováno v:
In Journal of Quantitative Spectroscopy and Radiative Transfer August 2022 286
We consider an advection-diffusion equation that is advection-dominated and posed on a perforated domain. On the boundary of the perforations, we set either homogeneous Dirichlet or homogeneous Neumann conditions. The purpose of this work is to inves
Externí odkaz:
http://arxiv.org/abs/1710.09331
We consider an advection-diffusion equation that is both non-coercive and advection-dominated. We present a possible numerical approach, to our best knowledge new, and based on the invariant measure associated to the original equation. The approach h
Externí odkaz:
http://arxiv.org/abs/1609.04777
The purpose of this work is to investigate the behavior of Multiscale Finite Element type methods for advection-diffusion problems in the advection-dominated regime. We present, study and compare various options to address the issue of the simultaneo
Externí odkaz:
http://arxiv.org/abs/1511.08453