Search Results - "Navoret, Laurent"
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Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh
Published in Communications in computational physics (01-09-2020)“…In this paper, we focus on one difficulty arising in the numerical simulationof the Vlasov-Poisson system: when using a regular grid-based solver with…”
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2
Optimal scenario for road evacuation in an urban environment
Published in Zeitschrift für angewandte Mathematik und Physik (01-08-2024)“…How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are…”
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3
Vectorial Kinetic Relaxation Model with Central Velocity. Application to Implicit Relaxations Schemes
Published in Communications in computational physics (2020)“…We apply flux vector splitting (FVS) strategy to the implicit kinetic schemes for hyperbolic systems. It enables to increase the accuracy of the method compared…”
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4
Cell migration in complex environments: chemotaxis and topographical obstacles
Published in ESAIM. Proceedings and surveys (2020)“…Cell migration is a complex phenomenon that plays an important role in many biological processes. Our aim here is to build and study models of reduced…”
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5
Numerical stability of a plasma sheath
Published in ESAIM. Proceedings and surveys (01-01-2018)“…We are interested in developing a numerical method for capturing stationary sheaths, that a plasma forms in contact with a metallic wall. This work is based on…”
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6
Hyperbolic approximation of the fourier transformed vlasov equation
Published in ESAIM. Proceedings and surveys (01-09-2014)“…We construct an hyperbolic approximation of the Fourier transformed Vlasov equation in which the dependency on the spectral-velocity variable is removed. The…”
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7
Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson
Published in ESAIM. Proceedings and surveys (01-03-2016)“…We construct a hyperbolic approximation of the Vlasov equation using a method of reduction [10, 14, 22] in which the dependency on the velocity variable is…”
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8
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks
Published in Journal of computational physics (01-09-2024)“…This work concerns the enrichment of Discontinuous Galerkin (DG) bases, so that the resulting scheme provides a much better approximation of steady solutions…”
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9
An Optimal Control Deep Learning Method to Design Artificial Viscosities for Discontinuous Galerkin Schemes
Published in Journal of scientific computing (01-12-2024)“…In this paper, we propose a method for constructing a neural network viscosity in order to reduce the non-physical oscillations generated by high-order…”
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10
Optimal scenario for road evacuation in an urban environment
Published in Zeitschrift für angewandte Mathematik und Physik (2024)“…How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are…”
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11
A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations
Published in Journal of scientific computing (01-04-2020)“…We introduce a semi-implicit two-speed relaxation scheme to solve the compressible Euler equations in the low Mach regime. The scheme involves a relaxation…”
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12
Finite volume approximations of the Euler system with variable congestion
Published in Computers & fluids (30-06-2018)“…•We develop asymptotic preserving schemes for Euler system with variable congestion.•Finite Volume schemes of first and second order in time and space are…”
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13
High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation
Published in Computers & fluids (15-08-2019)“…•Matrix-free with StarPu parallelization DG scheme for advection.•CFL-free and Matrix-free DG scheme for hyperbolic conservation laws.•High-order expansion in…”
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14
Numerical simulations of the Euler system with congestion constraint
Published in Journal of computational physics (10-09-2011)“…In this paper, we study the numerical simulations for Euler system with maximal density constraint. This model is developed in [6,17] with the constraint…”
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15
Spontaneous rotations in epithelia as an interplay between cell polarity and boundaries
Published in Nature physics (01-02-2024)“…Directional flows of cells have been observed during development in a variety of systems ranging from Drosophila to zebrafish. These flows shape living matter…”
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16
A 1D model of leukocyte adhesion coupling bond dynamics with blood velocity
Published in Journal of theoretical biology (07-09-2018)“…Cell adhesion on the vascular wall is a highly coupled process where blood flow and adhesion dynamics are closely linked. Cell dynamics in the vicinity of the…”
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17
Editorial of CEMRACS 2022
Published in ESAIM. Proceedings and surveys (2024)Get full text
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Hyperbolic reduced model for Vlasov-Poisson equation with Fokker-Planck collision
Published in ESAIM. Proceedings and surveys (2024)“…This paper proposes a reduced model to simulate the one-dimensional Vlasov-Poisson equation with the non-linear Fokker-Planck operator. The model provides the…”
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Reduced modelling and optimal control of epidemiological individual‐based models with contact heterogeneity
Published in Optimal control applications & methods (01-03-2024)“…Summary Modelling epidemics using classical population‐based models suffers from shortcomings that so‐called individual‐based models are able to overcome, as…”
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20
Asymptotic-Preserving Particle-In-Cell method for the Vlasov–Poisson system near quasineutrality
Published in Journal of computational physics (2010)“…This paper deals with the numerical resolution of the Vlasov–Poisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime,…”
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