Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Narski, Jacek"'
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 the accuracy is observed when the coordinates and the mesh are unrela
Externí odkaz:
http://arxiv.org/abs/1911.11482
Publikováno v:
In Computer Physics Communications August 2023 289
Publikováno v:
In Journal of Computational Physics 1 May 2023 480
Autor:
Narski, Jacek
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, 2013, pp 680-698] for solving kinetic equations. The original algorit
Externí odkaz:
http://arxiv.org/abs/1701.01608
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 more challenging case of the Boltzmann equation. The scheme combines
Externí odkaz:
http://arxiv.org/abs/1608.08009
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. The so-called asymptotic-preserving schemes studied in this paper are ve
Externí odkaz:
http://arxiv.org/abs/1507.00879
Autor:
Fehrenbach, Jérôme, Narski, Jacek, Hua, Jiale, Lemercier, Samuel, Jelic, Asja, Appert-Rolland, Cécile, Donikian, Stéphane, Pettré, Julien, Degond, Pierre
Publikováno v:
Networks and Heterogeneous Media, 10 (2015) 579-608
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 subject's response and the predecessor's corresponding behavior. This
Externí odkaz:
http://arxiv.org/abs/1412.7537
The Multiscale Finite Element Method (MsFEM) is developed in the vein of Crouzeix-Raviart element for solving viscous incompressible flows in genuine heterogeneous media. Such flows are relevant in many branches of engineering, often at multiple scal
Externí odkaz:
http://arxiv.org/abs/1404.2837
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 problems in perforated media. It is known that the approximation of boundar
Externí odkaz:
http://arxiv.org/abs/1310.8639
Autor:
Narski, Jacek, Ottaviani, Maurizio
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. Furthermore, the recently proposed Asymptotic-Preserving method [arXiv
Externí odkaz:
http://arxiv.org/abs/1303.5219