Výsledky vyhledávání - "Krell, Stella"

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Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV

We made a comparison between a Discrete Duality Finite Volume (DDFV) scheme and a Hybrid Finite Volume (HFV) scheme for a drift-diffusion model with mixed boundary conditions on general meshes. Both schemes are based on a nonlinear discretisation of

Externí odkaz: http://arxiv.org/abs/2307.10911

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Large time behavior of nonlinear finite volume schemes for convection-diffusion equations

Autor: Cancès, Clément, Chainais-Hillairet, Claire, Herda, Maxime, Krell, Stella

In this contribution we analyze the large time behavior of a family of nonlinear finite volume schemes for anisotropic convection-diffusion equations set in a bounded bidimensional domain and endowed with either Dirichlet and / or no-flux boundary co

Externí odkaz: http://arxiv.org/abs/1911.04962

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Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations

Autor: Cancès, Clément, Chainais-Hillairet, Claire, Krell, Stella

We propose a nonlinear Discrete Duality Finite Volume scheme to approximate the solutions of drift diffusion equations. The scheme is built to preserve at the discrete level even on severely distorted meshes the energy / energy dissipation relation.

Externí odkaz: http://arxiv.org/abs/1705.10558

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A Hybrid High-Order method for the steady incompressible Navier--Stokes problem

Autor: Di Pietro, Daniele A., Krell, Stella

Publikováno v: J. Sci. Comput. 74(3):1677--1705, 2018

In this work we introduce and analyze a novel Hybrid High-Order method for the steady incompressible Navier-Stokes equations. The proposed method is inf-sup stable on general polyhedral meshes, supports arbitrary approximation orders, and is (relativ

Externí odkaz: http://arxiv.org/abs/1607.08159

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Dissertation/ Thesis

Schémas Volumes Finis en mécanique des fluides complexes

Autor: Krell, Stella

Le travail de thèse exposé dans ce manuscrit porte sur le développement et l'analyse numérique de schémas volumes finis de type dualité discrète (DDFV) pour la discrétisation des équations de Darcy et des équations de Stokes. Un point commu

Externí odkaz: http://tel.archives-ouvertes.fr/tel-00524509
http://tel.archives-ouvertes.fr/docs/00/52/45/09/PDF/these_Krell.pdf

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Akademický článek

Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations

Autor: Gander Martin J., Halpern Laurence, Hubert Florence, Krell Stella

Publikováno v: Moroccan Journal of Pure and Applied Analysis, Vol 7, Iss 2, Pp 182-213 (2021)

We introduce a new non-overlapping optimized Schwarz method for fully anisotropic diffusion problems. Optimized Schwarz methods take into account the underlying physical properties of the problem at hand in the transmission conditions, and are thus i

Externí odkaz: https://doaj.org/article/85df07134545443d9c1bcacb3b33ea1e

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Akademický článek

Non-overlapping Schwarz algorithms for the incompressible Navier–Stokes equations with DDFV discretizations.

Autor: Goudon, Thierry¹ thierry.goudon@inria.fr, Krell, Stella¹, Lissoni, Giulia²

Publikováno v: ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Jul/Aug2021, Vol. 55 Issue 4, p1271-1321. 51p.

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