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Pascal Omnes
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Divergence correction techniques for Maxwell solvers based on a hyperbolic model
CD Munz, P Omnes, R Schneider, E Sonnendrücker, U Voss
Journal of Computational Physics 161 (2), 484-511, 2000
3492000
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
K Domelevo, P Omnes
ESAIM: Mathematical Modelling and Numerical Analysis 39 (6), 1203-1249, 2005
3002005
A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes
CD Munz, P Ommes, R Schneider
COMPUTER PHYSICS COMMUNICATIONS 130, 83-117, 2000
1082000
The influence of cell geometry on the Godunov scheme applied to the linear wave equation
S Dellacherie, P Omnes, F Rieper
Journal of Computational Physics 229 (14), 5315-5338, 2010
702010
Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system
S Dellacherie, J Jung, P Omnes, PA Raviart
Mathematical Models and Methods in Applied Sciences 26 (13), 2525-2615, 2016
672016
A discrete duality finite volume approach to Hodge decomposition and div-curl problems on almost arbitrary two-dimensional meshes
S Delcourte, K Domelevo, P Omnes
SIAM Journal on Numerical Analysis 45 (3), 1142-1174, 2007
602007
Discrete duality finite volume method for second order elliptic problems
S Delcourte, K Domelevo, P Omnes
Finite volume for complex applications IV, 447-458, 2005
40*2005
A finite volume method for the approximation of Maxwell’s equations in two space dimensions on arbitrary meshes
F Hermeline, S Layouni, P Omnes
Journal of Computational Physics 227 (22), 9365-9388, 2008
282008
A discrete duality finite volume discretization of the vorticity‐velocity‐pressure stokes problem on almost arbitrary two‐dimensional grids
S Delcourte, P Omnes
Numerical Methods for Partial Differential Equations 31 (1), 1-30, 2015
242015
Numerical and physical comparisons of two models of a gas centrifuge
P Omnes
Computers & fluids 36 (6), 1028-1039, 2007
212007
Nonconforming in time domain decomposition method for porous media applications
L Halpern, C Japhet, P Omnes
Proceedings of the 5th European Conference on Computational Fluid Dynamics …, 2010
182010
A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation
P Omnes, Y Penel, Y Rosenbaum
SIAM Journal on Numerical Analysis 47 (4), 2782-2807, 2009
182009
On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes
P Omnes
ESAIM: Mathematical Modelling and Numerical Analysis 45 (4), 627-650, 2011
172011
Space–Time Domain Decomposition with Finite Volumes for Porous Media Applications
PM Berthe, C Japhet, P Omnes
Domain Decomposition Methods in Science and Engineering XXI, 567-575, 2014
152014
Discrete Poincaré inequalities for arbitrary meshes in the discrete duality finite volume context
AH Le, P Omnes
Electronic Transactions on Numerical Analysis 40, 94-119, 2013
152013
Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on cartesian meshes
E Audusse, MH Do, P Omnes, Y Penel
Journal of Computational Physics 373, 91-129, 2018
142018
Error estimates for a finite volume method for the Laplace equation in dimension one through discrete Green functions.
P Omnes
International Journal On Finite Volumes 6 (1), 2009
142009
Godunov type scheme for the linear wave equation with Coriolis source term
E Audusse, S Dellacherie, MH Do, P Omnes, Y Penel
ESAIM: Proceedings and Surveys 58, 1-26, 2017
132017
A Maxwell-Lorentz solver for self-consistent particle-field simulations on unstructured grids
M Fedoruk, CD Munz, P Omnes, R Schneider
Forschungszentrm Karlsruhe GmbH, Karlsruhe, 1998
131998
Full discretization of time dependent convection–diffusion–reaction equation coupled with the Darcy system
N Chalhoub, P Omnes, T Sayah, R El Zahlaniyeh
Calcolo 57 (1), 1-28, 2020
82020
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