Bibliography
Major publications by the team in recent years
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1K. Burrage, J. Erhel.
On the performance of various adaptive preconditioned GMRES, in: Numerical Linear Algebra with Applications, 1998, vol. 5, p. 101-121. -
2J. Carrayrou, J. Hoffmann, P. Knabner, S. Kräutle, C. de Dieuleveult, J. Erhel, J. Van der Lee, V. Lagneau, K. Mayer, K. MacQuarrie.
Comparison of numerical methods for simulating strongly non-linear and heterogeneous reactive transport problems. The MoMaS benchmark case., in: Computational Geosciences, 2010, vol. 14, no 3, p. 483-502. -
3P. Chartier, B. Philippe.
A Parallel Shooting Technique for Solving Dissipative ODE's, Part 1: Theoretical Analysis; Part 2: Numerical Implementation, in: Computing, 1993, vol. 51, no 3-4, p. 209-236. -
4R. Choquet, J. Erhel.
Newton-GMRES algorithm applied to compressible flows, in: International Journal for Numerical Methods in Fluids, 1996, vol. 23, p. 177-190. -
5M. Crouzeix, B. Philippe, M. Sadkane.
The Davidson Method, in: SIAM, Journal on Scientific and Statistical Computing, 1994, vol. 15:1, p. 62-76. -
6J. Erhel, S. Rault.
Algorithme parallèle pour le calcul d'orbites : Parallélisation à travers le temps, in: Technique et science informatiques, 2000, vol. 19, no 5. -
7H. Hoteit, J. Erhel, R. Mosé, B. Philippe, P. Ackerer.
Numerical Reliability for Mixed Methods Applied to Flow Problems in Porous Media, in: Computational Geosciences, 2002, vol. 6, p. 161-194. -
8M. Muhieddine, É. Canot, R. March.
Various Approaches for Solving Problems in Heat Conduction with Phase Change, in: International Journal on Finite Volumes, 2009, vol. 6, no 1, 20 pages p. -
9Y. Saad, M. Yeung, J. Erhel, F. Guyomarc'h.
A deflated version of the Conjugate Gradient Algorithm, in: SIAM Journal on Scientific Computing, 2000, vol. 21, no 5, p. 1909-1926. -
10J.-R. de Dreuzy, A. Beaudoin, J. Erhel.
Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations, in: Water Resource Research, 2007, vol. 43, no W10439, doi:10.1029/2006WR005394.
Doctoral Dissertations and Habilitation Theses
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11J. Charrier.
Analyse numérique d'équations aux dérivées partielles à coefficients aléatoires, applications à l'hydrogéologie, École normale supérieure de Cachan - ENS Cachan, July 2011.
http://hal. inria. fr/ tel-00625092/ en -
12D. Nuentsa Wakam.
Parallélisme et robustesse dans les solveurs hybrides pour grands systèmes linéaires: Application à l’optimisation en dynamique des fluides, University of Rennes 1, 2011. -
13B. Poirriez.
Etude et mise en oeuvre d'une méthode de sous-domaines pour la modélisation de l'écoulement dans des réseaux de fractures en 3D, University of Rennes 1, 2011.
Articles in International Peer-Reviewed Journal
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14J. Charrier.
Strong and weak error estimates for elliptic partial diffrential equations with random coefficients, in: SIAM Journal on numerical analysis, 2012, to appear. -
15J. Erhel, Z. Mghazli, M. Oumouni.
Calcul de l'espérance de la solution d'une EDP stochastique unidimensionnelle à l'aide d'une base réduite, in: Comptes Rendus de l'Académie des Sciences de Paris (CRAS), série I, 2011, vol. 349, p. 861-865. -
16M. Muhieddine, É. Canot, R. March, R. Delannay.
Coupling heat conduction and water-steam flow in a saturated porous medium, in: International Journal for Numerical Methods in Engineering, 2011, vol. 85, no 11, p. 1390–1414. [ DOI : 10.1002/nme.3022 ]
http://hal. inria. fr/ inria-00540366/ en -
17N. Nassif, N. Makhoul-Karam, J. Erhel.
A globally adaptive explicit numerical method for exploding systems of ordinary differential equations, in: Applied Numerical Mathematics, 2011, online. -
18D. Nuentsa Wakam, G.-A. Atenekeng Kahou.
Parallel GMRES with a multiplicative Schwarz preconditioner, in: ARIMA, 2011, vol. 14. -
19B. Philippe, L. Reichel.
On the generation of Krylov subspace bases, in: Applied Numerical Mathematics (APNUM), 2011, vol. in press; online. -
20G. Pichot, J. Erhel, J.-R. de Dreuzy.
A generalized mixed hybrid mortar method for solving flow in stochastic discrete fracture networks, in: SIAM Journal on scientific computing, 2012, to appear.
Invited Conferences
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21É. Canot.
Suivi d'interfaces fluides par la méthode des éléments frontières, in: Workshop of the University of Annaba, 2011, invited in a workshop. -
22J. Charrier.
Numerical analysis of a multilevel Monte Carlo method for elliptic PDEs with random coefficients, in: European Numerical Mathematics and Advanced Applications (ENUMATH 2011), September 2011, invited in a mini-symposium. -
23J. Charrier.
Weak and strong error estimates for elliptic PDE with random coefficients, in: Applied Mathematics and Statistics (AMSTAT Seminars), Warwick Mathematics Institute, November 2011, invited talk. -
24J. Erhel.
Some Properties of Krylov Projection Methods for Large Linear Systems, in: PARENG'2011, Ajaccio, France, May 2011, invited plenary talk. -
25F. Jézéquel, B. Philippe.
Correction d’une décomposition spectrale approchée pour une matrice symétrique, in: 20ème Anniversaire du Laboratoire d'Etude et de Recherche en Mathématiques Appliquées, Rabat, June 2011. -
26F. Jézéquel, B. Philippe.
Updating the Diagonalization of a Symmetric Matrix, in: Festkolloquium Parallel Computing: Algorithms, Applications and architectures, Salzburg, June 2011. -
27D. Nuentsa Wakam, J. Erhel, W. Gropp.
About deflated Parallel GMRES, in: fith workshop of the INRIA-Illinois Joint Laboratory on Petascale Computing, Grenoble, June 2011, invited talk. -
28G. Pichot, A. Beaudoin, J. Charrier, N. Soualem, J. Erhel, J.-R. de Dreuzy, M. Kern.
Simulation of Transport in 2D Heterogeneous Porous Media via a Random Walk Particle Tracking method, in: 2011 SIAM Conference on Mathematical and Computational Issues in the Geosciences, 2011, organization of a mini-symposium. -
29B. Poirriez, J. Erhel, G. Pichot.
Schur Complement Preconditioning for Flow Simulation in 3D Discrete Fracture Networks, in: 2011 SIAM Conference on Mathematical and Computational Issues in the Geosciences, 2011, invited in a mini-symposium.
International Conferences with Proceedings
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30J. Erhel, A. Lejay, G. Pichot.
Comparison of some lagrangian schemes for the simulation of diffusion in discontinuous media, in: Proceedings of the 4th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (MAMERN'11), B. Amaziane, D. Barrera, H. Mraoui, M. Rodriguez, D. Sbibih (editors), EUG, 2011, p. 319-322, invited in a mini-symposium. -
31D. Nuentsa Wakam, J. Erhel, É. Canot.
Robustness in hybrid algebraic solvers for large linear systems, in: Proceedings of 23th International Conference on Parallel Computational Fluid Dynamics (Parallel CFD 2011), Barcelona Supercomputing Center, 2011, 5 pages p, invited in a mini-symposium.
http://parcfd2011. bsc. es/ -
32B. Poirriez, J. Erhel.
Flow computations in 3D Discrete Fracture Networks using a Domain Decomposition Method, in: Proceedings of the 4th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (MAMERN'11), B. Amaziane, D. Barrera, H. Mraoui, M. Rodriguez, D. Sbibih (editors), EUG, 2011, p. 603-606, invited in a mini-symposium.
Conferences without Proceedings
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33J. Erhel, M. Kern.
MoMaS: 10 years of reactive transport, in: Journées scientifiques du GNR MOMAS, Marseille, France, November 2011. -
34J. Erhel, Z. Mghazli, M. Oumouni.
Calcul de l'espérance de la solution d'une EDP stochastique unidimensionnelle à l'aide d'une base réduite, in: TAM-TAM'11: 5ième colloque maghrébin de Mathématiques Appliquées., Sousse, Tunisie., April 2011. -
35D. Nuentsa Wakam, J. Erhel, É. Canot.
Deflated GMRES with Multiplicative Schwarz Preconditioner: A Challenge of Robustness and Parallelism, in: The Twentieth International Conference on Domain Decomposition Methods, La Jolla, California, USA, February 2011, contributed talk. -
36M. Tankeo, P. Richard, É. Canot.
Simulation of granular flow in channel, in: 2nd Int. Conference on Material Modelling, Paris, France, Sept 2011, contributed talk.
Scientific Books (or Scientific Book chapters)
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37J. Erhel.
Some Properties of Krylov Projection Methods for Large Linear Systems, in: Computational Technology Reviews, P. Ivanyi, B. Topping (editors), Saxe-Coburg Publications, 2011, vol. 3, p. 41-70. -
38K. Gallivan, E. Gallopoulos, A. Grama, B. Philippe, E. Polizzi, Y. Saad, F. Saied, D. Sorensen.
High-Performance Scientific Computing - Algorithms and Applications, in: Parallel Numerical Computing from Illiac IV to Exascale: The Contributions of Ahmed H. Sameh, M. Berry, K. Gallivan, E. Gallopoulos, A. Grama, B. Philippe, Y. Saad, F. Saied (editors), Springer, 2012, to appear.
Books or Proceedings Editing
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39M. Berry, K. Gallivan, E. Gallopoulos, A. Grama, B. Philippe, Y. Saad, F. Saied (editors)
High-Performance Scientific Computing - Algorithms and Applications, Springer, 2012, to appear.
Internal Reports
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40A. Ben Abda, B. Johansson, S. Khalfallah.
Leak identification in saturated unsteady flow via a Cauchy problem for the heat equation and iterative regularization., ENIT, 2011, In revision, submitted to Journal of Scientific Computing. -
41J. Charrier.
Numerical analysis of the advection-diffusion of a solute in random media, INRIA, March 2011, no RR-7585.
http://hal. inria. fr/ inria-00581244/ en -
42J. Charrier, R. Scheichl, A. Teckentrup.
Finite element error analysis of elliptic PDEs with random coefficients and its application to multilevel Monte Carlo methods, University of Bath, March 2011, no 2/11.
http://www. bath. ac. uk/ math-sci/ BICS -
43E. Kamgnia, B. Philippe.
Counting eigenvalues in domains of the complex field, INRIA, October 2011, no RR-7770.
http://hal. inria. fr/ hal-00634065/ en -
44A. Lejay, G. Pichot.
Simulating diffusion processes in discontinuous media: a numerical scheme with constant time steps, INRIA, 2011, submitted to Journal of Computational Physics. -
45D. Nuentsa Wakam, J. Erhel, W. Gropp.
Parallel Adaptive Deflated GMRES, INRIA, San Diego, USA, 2011, in revision, submitted to proceedings of DD20. -
46D. Nuentsa Wakam, J. Erhel.
Parallelism and Robustness in GMRES with the Newton basis and the deflated restarting, INRIA-7787, November 2011, no RR-7787.
http://hal. inria. fr/ inria-00638247/ en -
47D. Nuentsa Wakam, F. Pacull.
Memory efficient and robust hybrid algebraic solvers for large CFD linear systems, INRIA, 2011, submitted to computers and fluids. -
48S. Sabit, N. Soualem.
Suite Logicielle GRT3D (Global Reactive Transport 3D), INRIA, 2011.
Scientific Popularization
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49J. Erhel, J.-R. de Dreuzy.
Des pollutions suivies à la trace, in: Interstices, 2011. -
50J. Erhel.
Un algorithme pour mettre en rang une équipe de football, in: Interstices, 2011.
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51J. Erhel, J.-R. de Dreuzy, B. Poirriez.
flow simulations in three-dimensional Discrete Fracture Networks, in: SIAM Journal on Scientific Computing, 2009, vol. 31, no 4, p. 2688-2705. [ DOI : DOI:10.1137/080729244 ]
http://dx. doi. org/ 10. 1137/ 080729244 -
52G. Pichot, J. Erhel, J.-R. de Dreuzy.
A mixed hybrid Mortar method for solving flow in discrete fracture networks, in: Applicable Analysis, 2010, vol. 89, no 10, p. 1629-1643. -
53C. de Dieuleveult, J. Erhel, M. Kern.
A global strategy for solving reactive transport equations, in: Journal of Computational Physics, 2009, vol. 228, p. 6395-6410. [ DOI : DOI: 10.1016/j.jcp.2009.05.044 ]
http://www. sciencedirect. com/ science/ article/ B6WHY-4WGDR6C-1/ 2/ ada7965dcd6096984365876b64411966