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

 Martin Gander , Laurence Halpern , Florence Hubert , Stella Krell
Moroccan Journal of Pure and Applied Analysis, 2021, 7 (2), pp.182-213. ⟨10.2478/mjpaa-2021-0014⟩
Article dans une revue hal-03352652v3
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Finite volume method for general multifluid flows governed by the interface Stokes problem

 Stella Krell
Mathematical Models and Methods in Applied Sciences, 2012, 22 (5), pp.1150025. ⟨10.1142/S0218202511500254⟩
Article dans une revue hal-00473783v2
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Non-overlapping Schwarz algorithms for the Incompressible Navier-Stokes equations with DDFV discretizations

 Thierry Goudon , Stella Krell , Giulia Lissoni
2020
Pré-publication, Document de travail hal-02448007v1
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Exponential decay to equilibrium of nonlinear DDFV schemes for convection-diffusion equations

 Claire Chainais-Hillairet , Stella Krell
FVCA 2020 - 9th Conference on Finite Volumes for Complex Applications, Jun 2020, Bergen, Norway
Communication dans un congrès hal-02408212v1
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Inf-Sup Stability of the Discrete Duality Finite Volume method for the 2D Stokes problem

 Franck Boyer , Stella Krell , Flore Nabet
Mathematics of Computation, 2015, 84, pp.2705--2742. ⟨10.1090/mcom/2956⟩
Article dans une revue hal-00795362v2

Non-overlapping Schwarz algorithm for DDFV on general 2D meshes

 Franck Boyer , Florence Hubert , Stella Krell
FVCA5, Jun 2008, Aussois, France. pp.225-232
Communication dans un congrès hal-00839330v1
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The Discrete Duality Finite Volume method for the Stokes equations on 3-D polyhedral meshes

 Stella Krell , Gianmarco Manzini
SIAM Journal on Numerical Analysis, 2012, 50 (2), pp.808-837. ⟨10.1137/110831593⟩
Article dans une revue hal-00448465v2
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Nonlinear coupling of the Poisson-Nernst Planck system of equations using the Discrete Duality Finite Volumes method, application to ionic and voltage dynamics in neuronal compartments

 Claire Guerrier , Stella Krell , Paul Paragot
2024
Pré-publication, Document de travail hal-04385924v1
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A Hybrid High-Order method for the steady incompressible Navier--Stokes problem

 Daniele Di Pietro , Stella Krell
Journal of Scientific Computing, 2018, 74 (3), pp.1677-1705. ⟨10.1007/s10915-017-0512-x⟩
Article dans une revue hal-01349519v2
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Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes

 Franck Boyer , Florence Hubert , Stella Krell
IMA Journal of Numerical Analysis, 2010, 30 (4), Pp 1062-1100. ⟨10.1093/imanum/drp001⟩
Article dans une revue istex hal-00307185v2
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Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods

 Martin J. Gander , Laurence Halpern , Florence Hubert , Stella Krell
Vietnam Journal of Mathematics, 2021, ⟨10.1007/s10013-021-00518-3⟩
Article dans une revue hal-02539124v2
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Convergence analysis of a DDFV scheme for a system describing miscible fluid flows in porous media

 Claire Chainais-Hillairet , Stella Krell , Alexandre Mouton
Numerical Methods for Partial Differential Equations, 2014, pp.38. ⟨10.1002/num.21913⟩
Article dans une revue hal-00929823v1

DDFV Schwarz Ventcell algorithms

 Martin J. Gander , Laurence Halpern , Florence Hubert , Stella Krell
22nd International Conference on Domain Decomposition Methods, Institute of Computational Science (ICS) of the Università della Svizzera italiana (USI - University of Lugano) Sep 2013, Lugano, Switzerland. ⟨10.1007/978-3-319-18827-0⟩
Communication dans un congrès hal-01271251v1
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Non-overlapping Schwarz algorithms for the incompressible Navier–Stokes equations with DDFV discretizations

 Thierry Goudon , Stella Krell , Giulia Lissoni
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (4), pp.1271-1321. ⟨10.1051/m2an/2021024⟩
Article dans une revue hal-03350932v1
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Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes

 Boris Andreianov , Florence Hubert , Stella Krell
Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.937-948, ⟨10.1007/978-3-642-20671-9_91⟩
Communication dans un congrès hal-00572732v1
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Simulations of non homogeneous viscous flows with incompressibility constraints

 Caterina Calgaro , Emmanuel Creusé , Thierry Goudon , Stella Krell
Mathematics and Computers in Simulation, 2017, 137, pp.201-225. ⟨10.1016/j.matcom.2016.11.006⟩
Article dans une revue hal-01246070v2
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Stabilized DDFV schemes for Stokes problem with variable viscosity on general 2D meshes

 Stella Krell
Numerical Methods for Partial Differential Equations, 2011, 27 (6), pp.1666-1706. ⟨10.1002/num.20603⟩
Article dans une revue hal-00385687v2
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Convergence study of a DDFV scheme for the Navier-Stokes equations arising in the domain decomposition setting

 Thierry Goudon , Stella Krell , Giulia Lissoni
FVCA 2020 - 9th Conference on Finite Volumes for Complex Applications, Jun 2020, Bergen, Norway
Communication dans un congrès hal-02496823v1

Optimized Schwarz algorithms in the framework of DDFV schemes

 Florence Hubert , Stella Krell , Martin J. Gander
21st International Conference on Domain Decomposition Methods, Jun 2012, Rennes, France. pp.1-8
Communication dans un congrès hal-00839286v1
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Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations

 Clément Cancès , Claire Chainais-Hillairet , Stella Krell
Computational Methods in Applied Mathematics, 2018, 18 (3), pp.407-432. ⟨10.1515/cmam-2017-0043⟩
Article dans une revue hal-01529143v1
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A nonlinear Discrete Duality Finite Volume Scheme for convection-diffusion equations

 Clément Cancès , Claire Chainais-Hillairet , Stella Krell
FVCA8 2017 - International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France. pp.439-447
Communication dans un congrès hal-01468811v1
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Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions

 Thierry Goudon , Stella Krell , Giulia Lissoni
FVCA8 - International Conference on Finite Volumes for Complex Applications VIII, Jun 2017, Lille, France
Communication dans un congrès hal-01502397v1
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DDFV method for Navier-Stokes problem with outflow boundary conditions

 Thierry Goudon , Stella Krell , Giulia Lissoni
Numerische Mathematik, 2019
Article dans une revue hal-01842129v1

Benchmark session: The 2D Hybrid High-Order method

 Daniele Antonio Di Pietro , Stella Krell
Finite Volumes for Complex Applications VIII – Methods and Theoretical Aspects, Jun 2017, Lille, France. pp.91-106, ⟨10.1007/978-3-319-57397-7_7⟩
Communication dans un congrès hal-01818217v1
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On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.

 Boris Andreianov , Mostafa Bendahmane , Florence Hubert , Stella Krell
IMA Journal of Numerical Analysis, 2012, 32 (4), pp.1574-1603. ⟨10.1093/imanum/drr046⟩
Article dans une revue hal-00355212v3
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Schémas Volumes Finis en mécanique des fluides complexes

 Stella Krell
Mathématiques [math]. Université de Provence - Aix-Marseille I, 2010. Français. ⟨NNT : ⟩
Thèse tel-00524509v1
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Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV

 Stella Krell , Julien Moatti
Finite Volumes for Complex Applications X, Oct 2023, Strasboug, France. pp.325-334, ⟨10.1007/978-3-031-40864-9_27⟩
Communication dans un congrès hal-04037264v2
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Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage

 Antoine Gloria , Thierry Goudon , Stella Krell
Mathematical Models and Methods in Applied Sciences, 2013, 23 (13), pp.1-33. ⟨10.1142/S0218202513500395⟩
Article dans une revue hal-00674519v2
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Study of discrete duality finite volume schemes for the Peaceman model

 Claire Chainais-Hillairet , Stella Krell , Alexandre Mouton
SIAM Journal on Scientific Computing, 2013, 35 (6), pp.A2928--A2952. ⟨10.1137/130910555⟩
Article dans une revue hal-00790449v1
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Développement et analyse de schémas Volumes Finis en mécanique des fluides complexes

 Stella Krell
Analyse numérique [math.NA]. Université Côte D'Azur, 2021
HDR tel-03265697v1
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