Search Results - "Lagoutière, Frédéric"

Convergence of finite volume schemes for the coupling between the inviscid Burgers equation and a particle by Aguillon, Nina, Lagoutière, Frédéric, Seguin, Nicolas

“…è The proposed schemes are consistent with a ``large enough'' part of the interface conditions. The proof of convergence is an extension of the one of…”
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Relaxation Limit of the Aggregation Equation with Pointy Potential by Fabrèges, Benoît, Lagoutière, Frédéric, Tran Tien, Sébastien, Vauchelet, Nicolas

“…This work was devoted to the study of a relaxation limit of the so-called aggregation equation with a pointy potential in one-dimensional space. The…”
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Numerical investigations of the compressible Navier-Stokes system by Al-Taki, Bilal, Atsou, Kevin, Casanova, Jean-Jéróme, Goudon, Thierry, Lafitte, Pauline, Lagoutière, Frédéric, Minjeaud, Sebastian

“…In this paper we write, analyze and experimentally compare three different numerical schemes dedicated to the one dimensional barotropic Navier-Stokes…”
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Modeling and analysis of adipocytes dynamic with a differentiation process by Gilleron, Jérôme, Goudon, Thierry, Lagoutière, Frédéric, Martin, Hugo, Mauroy, Benjamin, Millet, Pascal, Ribot, Magali, Vaghi, Cristina

“…We propose in this article a model describing the dynamic of a system of adipocytes, structured by their sizes. This model takes into account the…”
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Contact discontinuity capturing schemes for linear advection and compressible gas dynamics by DESPRES, Bruno, LAGOUTIERE, Frédéric

“…We present a non-diffusive and contact discontinuity capturing scheme for linear advection and compressible Euler system. In the case of advection, this scheme…”
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Numerical schemes for the aggregation equation with pointy potentials by Fabrèges, Benoît, Hivert, Hélène, Le Balc’h, Kevin, Martel, Sofiane, Delarue, François, Lagoutière, Frédéric, Vauchelet, Nicolas

“…The aggregation equation is a nonlocal and nonlinear conservation law commonly used to describe the collective motion of individuals interacting together. When…”
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Workshop on low velocity flows: application to low Mach and low Froude regimes by Dellacherie, Stéphane, Faccanoni, Gloria, Grec, Bérénice, Lagoutière, Frédéric, Penel, Yohan

“…Workshop on low velocity flows: contributions…”
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Probabilistic Analysis of the Upwind Scheme for Transport Equations by Delarue, François, Lagoutière, Frédéric

“…We provide a probabilistic analysis of the upwind scheme for d -dimensional transport equations. We associate a Markov chain with the numerical scheme and then…”
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Convergence analysis of upwind type schemes for the aggregation equation with pointy potential by Delarue, François, Lagoutière, Frédéric, Vauchelet, Nicolas

“…A numerical analysis of upwind type schemes for the nonlinear nonlocal aggregation equation is provided. In this approach, the aggregation equation is…”
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Vanishing viscosity limit for aggregation-diffusion equations by Lagoutière, Frédéric, Santambrogio, Filippo, Tran Tien, Sébastien

“…This article is devoted to the convergence analysis of the diffusive approximation of the measure-valued solutions to the so-called aggregation equation, which…”
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Numerical transport of an arbitrary number of components by Jaouen, Stéphane, Lagoutière, Frédéric

“…This paper deals with the numerical transport of an arbitrary number of materials having the same velocity. One difficulty is to derive numerical algorithms…”
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Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle by Aguillon, Nina, Lagoutière, Frédéric, Seguin, Nicolas

“…In this paper, we prove the convergence of a class of finite volume schemes for the model of coupling between a Burgers fluid and a pointwise particle…”
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Mathematical justification of a compressible bi-fluid system with different pressure laws: A semi-discrete approach and numerical illustrations by Bresch, Didier, Burtea, Cosmin, Lagoutière, Frédéric

“…In this paper we obtain a one velocity macroscopic description of a mixture of two viscous compressible fluids by homogenization/averaging. The paper is…”
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The Filippov characteristic flow for the aggregation equation with mildly singular potentials by Carrillo, J.A., James, F., Lagoutière, F., Vauchelet, N.

“…Existence and uniqueness of global in time measure solution for the multidimensional aggregation equation is analyzed. Such a system can be written as a…”
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Probabilistic analysis of the upwind scheme for transport by Delarue, François, Lagoutière, Frédéric

“…We provide a probabilistic analysis of the upwind scheme for multi-dimensional transport equations. We associate a Markov chain with the numerical scheme and…”
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Mathematical justification of a compressible bifluid system with different pressure laws: a continuous approach by Bresch, Didier, Burtea, Cosmin, Lagoutière, Frédéric

“…This paper concerns the mathematical justification of a macroscopic Baer-Nunziato PDE bifluid system with a physical relaxation term that is linked to the two…”
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Convergence order of upwind type schemes for transport equations with discontinuous coefficients by Delarue, François, Lagoutière, Frédéric, Vauchelet, Nicolas

“…An analysis of the error of the upwind scheme for transport equations with discontinuous coefficients is provided. We consider here a velocity field that is…”
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Error estimates of finite difference schemes for the Korteweg–de Vries equation by Courtès, Clémentine, Lagoutière, Frédéric, Rousset, Frédéric

“…This article deals with the numerical analysis of the Cauchy problem for the Korteweg–de Vries equation with a finite difference scheme. We consider the…”
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Knowledge-based model and simulations to support decision making in wastewater treatment processes by Valentin, Claire, Lagoutière, Frédéric, Choubert, Jean-Marc, Couenne, Françoise, Jallut, Christian

“…In this paper, mass and momentum balances are used to model and simulate the most significant phenomena occurring in a continuous urban sludge clarifier. This…”
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Physical Relaxation Terms for Compressible Two-Phase Systems by Bresch, Didier, Burtea, Cosmin, Lagoutière, Frédéric

“…In this note, we propose the first mathematical derivation of a macroscopic Baer-Nunziato type system for compressible two-phase flows allowing two pressure…”
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