Optimized
Schwarz waveform relaxation method for
the incompressible Stokes problem,
D-Q
Bui, C. Japhet and P. Omnes,
ESAIM: M2AN, 58, pp. 1229-1261 (2024).
Discrete-time
analysis of optimized Schwarz waveform
relaxation with Robin parameters
depending on the targeted iteration
count,
A.
Arnoult, C. Japhet and P. Omnes,
ESAIM: M2AN, 57 4, pp. 2371-2396 (2023).
Coupling
Parareal with optimized Schwarz waveform
relaxation for parabolic problems,
D.Q.
Bui, C. Japhet, Y. Maday and P. Omnes,
SIAM J. Numer. Anal. 60(3):913-939
(2022).
Space-time
domain decomposition for two-phase flow
between different rock types,
E.
Ahmed, C. Japhet, and M.
Kern,
Comput. Methods Appl. Mech. Engrg. 371 :
113294 (2020).
A
posteriori error estimates and stopping
criteria for space-time domain
decomposition for two-phase flow between
different rock types,
E.
Ahmed, S. Ali Hassan, C. Japhet, M. Kern
and M.
Vohralík, The SMAI
journal of computational mathematics,
Vol. 5, pp. 195–227 (2019).
Component
Mapping Automation for Parametric
Component Reduced Basis Techniques
(RB-Component),
R.
Chakir, C. Dapogny, C. Japhet, Y. Maday,
J.B. Montavon, O. Pantz and A. Patera,
ESAIM
Proc.,
Vol. 63, pp. 208-227 (2018).
A
posteriori stopping criteria for
space-time domain decomposition for the
heat equation in mixed formulations,
S.
Ali Hassan, C. Japhet and M. Vohralík, Electron.
Trans. Numer. Anal., Vol. 49, pp. 151-181
(2018).
A
posteriori stopping criteria
for optimized Schwarz
domain decomposition algorithms in
mixed formulations,
S.
Ali Hassan, C. Japhet, M. Kern
and M.
Vohralík, Comput.
Methods Appl. Math.,
Vol. 18, No 3, pp. 495–519 (2018).
Space-time
domain
decomposition for advection-diffusion
problems in mixed formulation,
T.T.P.
Hoang,
C. Japhet, M. Kern
and J.E. Roberts,
Mathematics and Computers in Simulation
137: 366-389 (2017).
Space-time
Domain
Decomposition and Mixed Formulation for
solving reduced fracture models,
T.T.P.
Hoang,
C. Japhet, M. Kern
and J.E. Roberts, SIAM
J. Numer. Anal. 54(1):288-316 (2016).
An efficient way to
assemble finite element matrices in
vector languages,
F.
Cuvelier, C. Japhet and G. Scarella,
BIT 56(3): 833-864 (2016).
Robin
Schwarz
algorithm
for
the
NICEM
Method:
the
Pq finite element case,
C.
Japhet, Y. Maday and F. Nataf,
SIAM J. Numer. Anal., 52(4), pp.
1497-1524, 2014.
Space-Time
Domain
Decomposition Methods for Diffusion
Problems in Mixed Formulations,
T.T.P.
Hoang,
C. Japhet,
J.
Jaffré, M. Kern and J.E. Roberts,
SIAM J. Numer. Anal., 51(6),
pp. 3532–3559, 2013.
A
New Interface Cement Equilibrated
Mortar (NICEM) method with Robin
interface conditions : the P1 finite
element case, C.
Japhet, Y. Maday and F. Nataf,
M3AS, Vol. 23, No. 12, pp. 2253-2292,
2013.
Algorithm
932:
{PANG}: Software for Non-Matching Grid
Projections in 2d and 3d with Linear
Complexity,
M.J.
Gander
and C. Japhet, ACM
Transactions on Mathematical Software
(TOMS), 40(1), pp. 6:1--6:25, 2013.
Optimized
Schwarz waveform relaxation and
discontinuous Galerkin time stepping
for heterogeneous problems,
L.
Halpern,
C. Japhet, and J. Szeftel, SIAM
J. Numer. Anal., 50(5), pp. 2588-2611,
2012.
Viscous
Problems with a Vanishing Viscosity
Approximation in Subregions: a New
Approach Based on Operator
Factorization , M.J.
Gander,
L. Halpern, C. Japhet and V. Martin,
ESAIM Proc., Vol. 27, pp. 272-288, 2009.
First passage time
problem for a drifted
Ornstein-Uhlenbeck process,
C.
Japhet, Y. Madec, Math.
Biosci, Jun:189(2), pp.
131-40, 2004.
A
new cement to glue non-conforming
grids with Robin interface
conditions : the finite volume case,
Y.
Achdou,
C. Japhet, Y. Maday, F. Nataf,
Numerische
Mathematik
92, no. 4, pp. 593-620, 2002.
The
Best Interface Conditions for Domain
Decomposition Methods : Absorbing
Boundary Conditions,
C.
Japhet
and F. Nataf, Absorbing
Boundaries and Layers, Domain
Decomposition Methods. Applications to
Large Scale Computations, L. Tourrette
and L. Halpern, eds., Nova Science
Publishers, Inc., New York, 2001, pp
348-373, Nova Science, (2001)
The Optimized Order
2 Method. Application to
convection-diffusion problems,
C.
Japhet,
F.
Nataf, F. Rogier, Future
Generation
Computer Systems, 18(1), pp.
17-30, Elsevier
Science, 2001.
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Global-in-Time
Domain Decomposition for a Nonlinear
Diffusion Problem,
E.
Ahmed, C. Japhet
and M. Kern, in 25th
International Domain Decomposition
Conference, DD25, Accepted in the
Proceedings of the XXV International
Domain Decomposition Conference, St
John’s, Canada, July 2018, Springer.
Space-time
domain
decomposition methods and a posteriori
error estimates for the heat equation,
S.
Ali Hassan, C. Japhet, M.
Kern and M. Vohralík, in
Proceedings of VIe Colloque
EDP-Normandie-Caen 2017, C. Dogbe,
ed., Fédération Normandie
Mathématiques, 2018, pp. 65–87.
Mortar
methods with optimized
transmission conditions for
advection-diffusion problems,
C.
Japhet and Y. Maday,
In
T. Dickopf, M.J. Gander, L. Halpern, R.
Krause, L. F. Pavarino (eds.), Domain Decomposition Methods in
Science and Engineering XXII, Lecture
Notes in Computational Science and
Engineering, vol. 104, pp. 541-549. Springer,
2016.
Ventcell
conditions with mixed formulations
for flow in porous media,
T.T.P
Hoang, C. Japhet, M. Kern and J. Roberts,
In T. Dickopf, M.J.
Gander, L. Halpern, R. Krause, L. F.
Pavarino (eds.), Domain
Decomposition Methods in Science and
Engineering XXII, Lecture
Notes in Computational Science and
Engineering, vol. 104, pp. 531-540. Springer,
2016.
Space-Time
Domain Decomposition with Finite
Volumes for Porous Media
Applications,
P.M.
Berthe, C. Japhet and P. Omnes.
In J. Erhel, M.J.
Gander, L. Halpern, G. Pichot, T. Sassi,
O. Widlund (eds.), Domain Decomposition
Methods in Science and Engineering XXI,
Lecture
Notes in Computational Science and
Engineering, vol. 98, pp. 483-490. Springer,
2014.
A new interface cement
equilibrated mortar method with
Ventcel conditions,
C.
Japhet, Y. Maday and F. Nataf.
In J. Erhel, M.J.
Gander, L. Halpern, G. Pichot, T. Sassi,
O. Widlund (eds.), Domain Decomposition
Methods in Science and Engineering XXI,
Lecture
Notes in Computational Science and
Engineering, vol. 98, pp. 329-336. Springer,
2014.
Space-Time
Domain
Decomposition Methods for Diffusion
Problems in Mixed Formulations,
T.T.P
Hoang,
C.
Japhet,
J.
Jaffré,
M.
Kern
and
J.
Roberts.
In J. Erhel, M.J.
Gander, L. Halpern, G. Pichot, T. Sassi,
O. Widlund (eds.), Domain Decomposition
Methods in Science and Engineering XXI,
Lecture
Notes in Computational Science and
Engineering, vol. 98, pp. 257-264. Springer,
2014.
Optimized
Schwarz
waveform relaxation for porous media
applications,
C. Japhet and P. Omnes.
In T.J. Barth,
M.Griebel, D.E. Keyes, R.M. Nieminen, D.
Roose, T. Schlick (eds.),
Domain Decomposition
Methods in Science and Engineering XX, Lecture
Notes in Computational Science and
Engineering, vol. 91, pp. 585--592. Springer,
2012.
Space-time
Nonconforming
Optimized
Schwarz Waveform Relaxation for
Heterogeneous Problems and General
Geometries, L.
Halpern, C. Japhet and J. Szeftel.
In Y. Huang, R.
Kornhuber, O. Widlund, J. Xu (eds.),
Domain Decomposition Methods in Science
and Engineering XIX,
Lecture
Notes in Computational Science and
Engineering, vol. 78, pp. 133--140. Springer,
2011.
Discontinuous
Galerkin and nonconforming in time
optimized Schwarz waveform
relaxation,
L.
Halpern,
C. Japhet and J. Szeftel. In Y.
Huang, R. Kornhuber, O. Widlund, J. Xu
(eds.), Domain Decomposition Methods in
Science and Engineering XIX, Lecture
Notes in Computational Science and
Engineering, vol. 78, pp. 133--140. Springer,
2011.
Nonconforming
in time domain decomposition method
for porous media applications,
L.
Halpern,
C. Japhet and P. Omnes,
ECCOMAS CFD 2010, J. C. F. Pereira
and A. Sequeira (Eds), Lisbon, 2010.
An
Algorithm for Non-Matching Grid
Projections with Linear Complexity,
M.J.
Gander
and C. Japhet, Domain
Decomposition Methods in Science and
Engineering XVIII, Lecture
Notes in Computational Science and
Engineering, pp. 185--192,
Springer-Verlag, 2009.
Discontinuous
Galerkin and nonconforming in time
optimized Schwarz waveform
relaxation for heterogeneous
problems, L.
Halpern and C. Japhet, In U.
Langer, M. Discacciati, D.E. Keyes,
O. Widlund, W. Zulehner (eds.),
Domain Decomposition Methods in
Science and Engineering XVII, Lecture
Notes in Computational Science and
Engineering, vol. 60, pp.
211-219, Springer,
2008.
Optimized Schwarz
Waveform Relaxation algorithms with
nonconforming time discretization
for coupling convection-diffusion
problems with discontinuous
coefficients, E.
Blayo, L. Halpern, C. Japhet,
In
O.
Widlund, D. Keyes (eds.), Domain
Decomposition Methods in Science and
Engineering XVI, Lecture
Notes in Computational Science and
Engineering, vol. 55, pp.
267-274,
Springer, 2007.
Advection-Diffusion
Problems with Pure Advection
Approximation in Subregions,
M.J.
Gander, L. Halpern, C. Japhet and V.
Martin, In
O.
Widlund, D. Keyes (eds.), Domain
Decomposition Methods in Science and
Engineering XVI, Lecture
Notes in Computational Science and
Engineering, vol. 55, pp.
239-246,
Springer, 2007.
A
new cement to glue non-conforming
grids with Robin interface
conditions : the finite element
case,
M.J.
Gander,
C. Japhet, Y. Maday, F. Nataf,
In R. Kornhuber, R.
Hoppe, J. Periaux, O. Pironneau, O.
Widlund,
J. Xu (eds.), Domain
Decomposition Methods in Science and
Engineering, Lecture
Notes in Computational Science and
Engineering, vol. 40, pp.
259-266, Springer,
2005.
Optimized
Schwarz Algorithms for Coupling
Convection and Convection-Diffusion
Problems,
M.J.
Gander,
L. Halpern, C. Japhet, In N.
Debit, M. Garbey, R. Hoppe, J. Périaux,
D. Keyes, Y. Kuznetsov (eds.),
Proceedings of the Thirteenth
International Conference on Domain
Decomposition Methods, pp. 253-260,
2001.
Domain
Decomposition Methods for
Non-Symmetric Problems,
Y.
Achdou,
C. Japhet, P. Le Tallec, F. Nataf, F.
Rogier and M. Vidrascu, In
C.H. Lai, P. Bjorstad, M. Cross, O.
Widlund (eds), Eleventh International
Conference on Domain Decomposition
Methods, pp. 3-17, 1999.
Extension
of a Coarse Grid Preconditioner to
Non-Symmetric Problems,
C.
Japhet, F. Nataf, F.X. Roux, Domain
Decomposition
Methods 10, Contemporary
Mathematics,vol. 218, pp. 279-286, 1998.
Optimized
Krylov-Ventcell Method. Application
to Convection-Diffusion Problems,
C.
Japhet, Domain Decomposition
Methods 9, Domain Decomposition Methods
in Sciences and Engineering, edited by
P. Bjorstad, M. Espedal and D. Keyes, p.
382-389, John Wiley & Sons Ltd,
1998.
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