66 citations · 145 across the 10 of their papers we have counts for
12 papers
A hierarchical sparse-grid particle method for the Vlasov--Poisson system
Fabrice Deluzet, Clément Guillet, Jacek Narski
We introduce a hierarchical sparse-grid (HSG) particle method for the numerical solution of the Vlasov--Poisson system. Sparse-grid PIC methods have so far been formulated within f…
Preserving the accuracy of numerical methods discretizing anisotropic elliptic problems
Chang Yang, Fabrice Deluzet, Jacek Narski
In this paper we study the loss of precision of numerical methods discretizing anisotropic problems and propose alternative approaches free from this drawback. The deterioration of…
Fast Kinetic Scheme : efficient MPI parallelization strategy for 3D Boltzmann equation
Jacek Narski
In this paper we present a parallelization strategy on distributed memory systems for the Fast Kinetic Scheme --- a semi-Lagrangian scheme developed in [J. Comput. Phys., Vol. 255,…
An efficient numerical method for solving the Boltzmann equation in multidimensions
Giacomo Dimarco, Raphaël Loubère, Jacek Narski +1
In this paper we deal with the extension of the Fast Kinetic Scheme (FKS) [J. Comput. Phys., Vol. 255, 2013, pp 680-698] originally constructed for solving the BGK equation, to the…
Numerical analysis of an asymptotic-preserving scheme for anisotropic elliptic equations
Alexei Lozinski, Jacek Narski, Claudia Negulescu
The main purpose of the present paper is to study from a numerical analysis point of view some robust methods designed to cope with stiff (highly anisotropic) elliptic problems. Th…
Time-delayed Follow-the-Leader model for pedestrians walking in line
Jérôme Fehrenbach, Jacek Narski, Jiale Hua +6
We use the results of a pedestrian tracking experiment to identify a follow-the-leader model for pedestrians walking-in-line. We demonstrate the existence of a time-delay between a…
Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media
Pierre Degond, Alexei Lozinski, Bagus Putra Muljadi +1
The adaptation of Crouzeix - Raviart finite element in the context of multiscale finite element method (MsFEM) is studied and implemented on diffusion and advection-diffusion probl…
Asymptotic Preserving scheme for strongly anisotropic parabolic equations for arbitrary anisotropy direction
Jacek Narski, Maurizio Ottaviani
This paper deals with the numerical study of a strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high anisotropy.…
Anisotropic finite elements with high aspect ratio for an Asymptotic Preserving method for highly anisotropic elliptic equation
Jacek Narski
The concern of this work is the generalization of an Asymptotic Preserving method for the highly anisotropic elliptic equations presented in [P. Degond, A. Lozinski, J. Narski, and…
Highly anisotropic temperature balance equation and its asymptotic-preserving resolution
Alexei Lozinski, Jacek Narski, Claudia Negulescu
This paper deals with the numerical study of a nonlinear, strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high a…
An Asymptotic-Preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition
Pierre Degond, Alexei Lozinski, Jacek Narski +1
The concern of the present work is the introduction of a very efficient Asymptotic Preserving scheme for the resolution of highly anisotropic diffusion equations. The characteristi…
Duality-based Asymptotic-Preserving method for highly anisotropic diffusion equations
Pierre Degond, Fabrice Deluzet, Alexei Lozinski +2
The present paper introduces an efficient and accurate numerical scheme for the solution of a highly anisotropic elliptic equation, the anisotropy direction being given by a variab…