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,
Article accepté dans Mathematical Models and Methods in Applied Sciences,
2013.
7. C. Chainais-Hillairet, S. Krell, A. Mouton,
Study of discrete duality finite volume schemes for the Peaceman model,
soumis, 2013.
8. F. Boyer, S. Krell, F. Nabet,
Inf-Sup stability of the Discrete Duality Finite Volume method for the Stokes problem,
soumis, 2013.
9. C. Chainais-Hillairet, S. Krell, A. Mouton,
Convergence analysis of a DDFV scheme for a system describing miscible fluid flow in porous media,
en préparation.
10. S. Krell,
A staggered finite volume scheme for the incompressible
Navier-Stokes equations on general 2D grids,
en préparation.
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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.
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