Articles
1. F. Boyer, F. Hubert, S. Krell,
Non-overlapping Schwarz algorithm for solving 2D-mDDFV schemes,
IMA Journal on Numerical Analysis, Vol. 30,no 4,pp. 1062--1100 (2010).
Published on-line.
2. S. Krell,
Stabilized DDFV schemes for Stokes problem with variable viscosity
on general 2D meshes,
Num. Meth. for PDEs, Vol. 27, Issue 6, 1666--1706 (2011).
Published on-line.
3. S. Krell,
Finite volume method for general multifluid flows governed
by the interface Stokes problem,
Mathematical Models and Methods in Applied Sciences,
Vol. 22, Issue 5, pp. 1150025-1--1150025-35, 2012.
DOI No: 10.1142/S0218202511500254 Published on-line.
4. B. Andreianov, M. Bendahmane, F. Hubert, S. Krell,
On 3D DDFV discretization of gradient and divergence operators.
I. Meshing, operators and discrete duality,
IMA Journal of Numerical Analysis, Vol. 32, Issue 4, pp. 1574--1603, 2012.
5. S. Krell, G. Manzini,
The Discrete Duality Finite Volume method for the Stokes
equations on 3D polyhedral meshes,
SIAM Journal on Numerical Analysis, Vol. 50, Issue 2, pp. 808--837, 2012.
6. A. Gloria, T. Goudon, S. Krell,
Numerical homogenization of a nonlinearly coupled elliptic-parabolic system,
reduced basis method,
and application to nuclear waste storage,
M3AS, Vol. 23, No. 13, pp. 2523--2560, 2013.Published on-line.
7. C. Chainais-Hillairet, S. Krell, A. Mouton,
Study of discrete duality finite volume schemes for the Peaceman model,
SIAM Journal on Scientific Computing , Vol. 35, Issue 6, pp.A2928--A2952, 2013. Published on-line.
8. F. Boyer, S. Krell, F. Nabet,
Inf-Sup stability of the Discrete Duality Finite Volume method for the Stokes problem,
Mathematics of Computation, Vol. 84, pp. 2705--2742, 2015.
9. C. Chainais-Hillairet, S. Krell, A. Mouton,
Convergence analysis of a DDFV scheme for a system describing miscible fluid flow in porous media,
Num. Meth. for PDEs, Volume 31, Issue 3, pages 723--760, 2015.
10. C. Calgaro, E. Creusé, T. Goudon, S. Krell,
Simulations of non homogeneous viscous flows with incompressibility constraints,
Math. and Computers in Simulation, Volume 137, 201--225, 2017.
11. D. A. Di Pietro, S. Krell,
A Hybrid High-Order method for the steady incompressible Navier--Stokes problem,
Journal of Scientific Computing, Volume 74 (3), 1677--1705, 2018.
12. C. Cancès, C. Chainais-Hillairet, S. Krell,
Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations ,
Computational Methods in Applied Mathematics, Volume 18 (3), 407--432, 2018.
13. T. Goudon, S. Krell, G. Lissoni,
DDFV method for Navier-Stokes problem with outflow boundary conditions ,
Numerische Mathematik, 1--48, 2019.
14. C. Cancès, C. Chainais-Hillairet, M. Herda, S. Krell,
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations,
SIAM Journal on Numerical Analysis, 58(5), 2544--2571, (2020).
15. M. Gander, L. Halpern, F. Hubert, S. Krell,
Optimized Schwarz Methods with General Ventcell Transmission Conditions for Fully Anisotropic Diffusion
with Discrete Duality Finite Volume Discretizations,
Moroccan Journal of Pure and Applied Analysis, 7(2), 182--213, (2021).
16. T. Goudon, S. Krell, G. Lissoni,
Non-overlapping Schwarz algorithms for the Incompressible Navier-Stokes equations with DDFV discretizations ,
M2AN, 55(4), 1271--1321, (2021).
17. T. Goudon, S. Krell, J. Llobell, S. Minjeaud ,
Transfer of conservative discrete differential operators between staggered grids: construction and duality relations ,
IMA Journal of Numerical Analysis, Oxford University Press, (2021).
18. M. Gander, L. Halpern, F. Hubert, S. Krell,
Discrete optimization of robin transmission conditions for
anisotropic diffusion with discrete duality finite volume methods,
Vietnam Journal of Mathematics, Springer, (2021).
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Proceedings
1. F. Boyer, F. Hubert, S. Krell,
Non-overlapping Schwarz algorithm for DDFV schemes on general 2D meshes,
Proceedings of the 5th international symposium on Finite Volumes for
Complex Applications
(Aussois, France), (2008).
2. S. Krell,
Stabilized DDFV schemes for Stokes problem,
Proceeding of ALGORITMY the 18th Conference
on Scientific Computing (Podbanské, Slovaquie), (2009).
3. B. Andreianov, F. Hubert, S. Krell,
Benchmark 3D: a version of the DDFV scheme with
cell/vertex unknowns on general meshes,
Proceedings of the 6th international symposium on Finite Volumes for
Complex Applications
(Prague, République tchèque),,
937--948, (2011)
Published on-line.
4. S. Krell,
Stabilized DDFV schemes for the incompressible Navier-Stokes equations,
Proceedings of the 6th international symposium on Finite Volumes for
Complex Applications
(Prague, République tchèque),
605--612, (2011).
Published on-line.
5. M. Gander, F. Hubert, S. Krell,
Optimized Schwarz Algorithms for Anisotropic Elliptic Operators
in the Framework of DDFV Schemes,
Proceedings of the 21st International Conference
on Domain Decomposition Methods
(Rennes, France),
(2012).
Published on-line.
6. M. Gander, L. Halpern, F. Hubert, S. Krell,
DDFV Ventcell Schwarz Algorithms,
Proceedings of the 22st International Conference
on Domain Decomposition Methods
(Lugano, Suisse),
(2013).
Published on-line.
7. G. Goudon, S. Krell,
A DDFV Scheme For Incompressible Navier-Stokes Equations With Variable Density,
Proceedings of the 7th international symposium on Finite Volumes for
Complex Applications
(Berlin, Allemagne),
(2014).
Published on-line.
8. G. Goudon, S. Krell, G. Lissoni
Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions,
Proceedings of the 8th international symposium on Finite Volumes for
Complex Applications
(Lille, France),
(2017).
9. C. Cancès, C. Chainais-Hillairet, S. Krell
A non-linear Discrete Duality Finite Volume scheme for convection-diffusion equations,
Proceedings of the 8th international symposium on Finite Volumes for
Complex Applications
(Lille, France),
(2017).
10. D. A. Di Pietro, S. Krell
Benchmark session: the 2D Hybrid High Order method,
Proceedings of the 8th international symposium on Finite Volumes for
Complex Applications
(Lille, France),
(2017).
11. F. Boyer, S. Krell, F. Nabet
Benchmark session : The 2D Discrete Duality Finite Volume Method,
Proceedings of the 8th international symposium on Finite Volumes for
Complex Applications
(Lille, France),
(2017).
12. C. Chainais-Hillairet, S. Krell
Exponential decay to equilibrium of nonlinear DDFV schemes for convection-diffusion equations,
Proceedings of the 9th international symposium on Finite Volumes for
Complex Applications
(Bergen, Norway),
(2020).
13. T. Goudon, S. Krell, G. Lissoni
Convergence study of a DDFV scheme for the
Navier-Stokes equations arising in the domain
decomposition setting,
Proceedings of the 9th international symposium on Finite Volumes for
Complex Applications
(Bergen, Norway),
(2020).
14. M. Gander, L. Halpern, F. Hubert, S. Krell
Optimized Overlapping DDFV Schwarz Algorithms,
Proceedings of the 9th international symposium on Finite Volumes for
Complex Applications
(Bergen, Norway),
(2020).
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