Books

Nassif, N.; Erhel, J. & Philippe, B.
Introduction to computational linear algebra
CRC Press, Taylor and Francis group,  2015

Erhel, J.; Gander, M.; Halpern, L.; Pichot, G.; Sassi, T. & Widlund, O. (ed.)
Domain Decomposition Methods in Science and Engineering XXI
Lecture Notes in Computational Science and Engineering, Springer,  2014

D. Tromeur-Dervout; G. Brenner; D. Emerson & J. Erhel, (ed.)
Parallel Computational Fluid Dynamics 2008
Lecture Notes in Computational Science and Engineering, Springer, 2010

Bajard, J.; Beaumont, O.; Chesneaux, J.; Daumas, M.; Erhel, J.; Michelucci, D.; Muller, J.; Philippe, B.; Revol, N.; J-L.Roch & Vignes, J.
Qualité des Calculs sur Ordinateurs. Vers des arithmétiques plus fiables ?
Masson, 1997

Selected Papers

Erhel, J.; Mghazli, Z. & Oumouni, M.
An adaptive sparse grid method for elliptic PDE with stochastic coefficients
Computer Methods in Applied Mechanics and Engineering, accepted, 2015 (preprint pdf)

Erhel, J.; Sabit, S.
A global reactive transport model applied to the MoMaS benchmark
Proceedings of the 6th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (MAMERN'15),
Amaziane; E. Ahusborde; D. Barrera; J. Ibañez-Pérez; R. Romero-Zaliz & D. Sbibih, ed.
303-326, 2015 (pdf)

Erhel, J.; Mghazli, Z. & Oumouni, M.
A combined collocation and Monte-Carlo method for advection-diffusion equation of a solute in random porous media
ESAIM Proceedings and Surveys, 45, 328-337, 2014 (pdf)

Pichot, G.; Poirriez, B.; Erhel, J. & de Dreuzy, J.-R.
A Mortar BDD method for solving flow in stochastic discrete fracture networks
Domain Decomposition Methods in Science and Engineering XXI
Jocelyne Erhel; Martin Gander; Laurence Halpern; Géraldine Pichot; Taoufik Sassi & Olof Widlund, ed
LNCSE, Springer, 2014 (pdf)

Makhoul-Karam, N.; Nassif, N. & Erhel, J.
An Adaptive Parallel-in-Time Method with application to a membrane problem
Domain Decomposition Methods in Science and Engineering XXI
Jocelyne Erhel; Martin Gander; Laurence Halpern; Géraldine Pichot; Taoufik Sassi & Olof Widlund, ed
LNCSE, Springer, 2014 (pdf)

Beaudoin, A.; de Dreuzy, J.-R.; Erhel, J. & Pichot, G.
Convergence analysis of macrospreading in 3D heterogeneous porous media
ESAIM Proceedings, 41, 59-76, 2013 (pdf)

Erhel, J.; Sabit, S. & de Dieuleveult, C.
Solving Partial Differential Algebraic Equations and Reactive Transport Models
Computational Science, Engineering and Technology Series
Topping, B. & Iványi, P., ed.
Saxe-Coburg Publications, 151-169, 2013 (preprint pdf)

Nuentsa Wakam, D.; Erhel, J. & Gropp
Parallel Adaptive Deflated GMRES
Domain Decomposition Methods in Science and Engineering XX
W.; Bank, R.; Holst, M.; Widlund, O. & Xu, J., ed.
LNCSE, Springer, 631-638, 2013 (pdf)

Nuentsa Wakam, D. & Erhel, J.
Parallelism and robustness in GMRES with the Newton basis and the deflated restarting
Electronic Transactions on Numerical Analysis 40, 381-406, 2013 (pdf)

de Dreuzy, J.-R.; Pichot, G.; Poirriez, B. & Erhel, J.

Synthetic benchmark for modeling flow in 3D fractured media

Computers & Geosciences, 50, 59-71, 2013 (pdf)

Nassif, N.; Makhoul-Karam, N. & Erhel, J.

A globally adaptive explicit numerical method for exploding systems of ordinary differential equations

Applied Numerical Mathematics, 67, 204-219, 2013 (pdf)

Pichot, G.; Erhel, J. & de Dreuzy, J.-R.

A generalized mixed hybrid mortar method for solving flow in stochastic discrete fracture networks

SIAM Journal on scientific computing, 34 (1), B86–B105, 2012 ( pdf )

Erhel, J.; Mghazli, Z. & Oumouni, M.

Calcul de l'espérance de la solution d'une EDP stochastique unidimensionnelle à  l'aide d'une base réduite

Comptes Rendus Mathématique 349, 861-865, 2011. ( pdf )

Erhel,J.
Some Properties of Krylov Projection Methods for Large Linear Systems
Computational Technology Reviews
P. Ivanyi and B.H.V. Topping (ed)
Saxe-Coburg Publications, Volume 3, pp. 41-70, 2011 (preprint pdf)

Beaudoin, A.; de Dreuzy, J.-R. & Erhel, J.
Numerical monte-carlo analysis of the influence of pore scale dispersion on macrodispersion in 2D heterogeneous porous media
Water Resources Research , Volume 46, W12537, 2010 (pdf)

 

Pichot, G.; Erhel, J. & de Dreuzy, J.-R.
A mixed hybrid Mortar method for solving flow in discrete fracture networks
Applicable Analysis , Volume 89, pp. 1629–1643, 2010 (pdf)

 

Carrayrou, J.; Hoffmann, J.; Knabner, P.; Kräutle, S.; de Dieuleveult, C.; Erhel, J.; der Lee, J. V.; Lagneau, V.; Mayer, K. & MacQuarrie, K.
Comparison of numerical methods for simulating strongly non-linear and heterogeneous reactive transport problems – the MoMaS benchmark case
Computational Geosciences , Volume 14, pp. 483-502, 2010 (pdf)

 

de Dieuleveult, C.; Erhel, J.
A global approach to reactive transport: application to the MoMas benchmark
Computational Geosciences , Volume 14, pp. 451-464, 2010 (pdf)

 

Hariga-Tlatli, N.; Baranger, T. N. & Erhel, J.
Misfit functionals for recovering data in ElectroCardioGraphy problems
Engineering Analysis with Boundary Elements , Volume 34, pp. 492-500, 2010 (pdf)

 

Nuentsa-Wakam, D.; Erhel, J.; Canot, É.. & Atenekeng-Kahou, G.
A comparative study of some distributed linear solvers on systems arising from fluid dynamics simulations
Parallel Computing: from Multicores and GPU's to Petascale (proceedings of PARCO'09)
B. Chapman; F. Desprez; G. Joubert; A. Lichnewsky; F. Peters & T. Priol, (ed.)
IOS Press, 51-58, 2010. (pdf)

Nuentsa-Wakam, D.; Erhel, J. & Canot, É.
E. Badouel; A. Sbihi & I. Lokpo, ed.
Parallélisme à deux niveaux dans GMRES avec un préconditionneur Schwarz multiplicatif
proceedings of CARI'2010, INRIA, pp. 189-196, 2010 (pdf)

Erhel, J.; de Dreuzy, J.-R. & Bresciani, E.
D. Tromeur-Dervout; G. Brenner; D. Emerson & J. Erhel, (ed.)
Multi-parametric intensive stochastic simulations for hydrogeology on a computational grid
Parallel Computational Fluid Dynamics 2008
Lecture Notes in Computational Science and Engineering, Springer, pp. 389-397, 2010 (pdf)

Erhel,J.; de Dreuzy, J.-R.; Beaudoin, A.; Bresciani, E.;Tromeur-Dervout, D.
Ismail H. Tuncer; Ulgen Gulcat; David R. Emerson & Kenichi Matsuno, (ed.)
A parallel scientific software for heterogeneous hydrogeology
Parallel Computational Fluid Dynamics 2007
Lecture Notes in Computational Science and Engineering,  pp. 39-48, 2009 (pdf)

 

de Dieuleveult, C.; Erhel, J. & Kern, M.
A global strategy for solving reactive transport equations
Journal of Computational Physics, Volume 228, pp. 6395-641, 2009 (pdf)

 

Pichot, G.; de Dreuzy, J.-R.; Erhel, J. & Davy, P.
B. Amaziane; D. Barrera; M. Fortes; M. Ibanez; M. Odunlami; A. Palomares; M. Pasadas; M. Rodriguez & D. Sbibih, (ed.)
Flow in multi-scale fracture networks: numerical optimization by use of a Mortar-like method
Proceedings of the third international conference on approximation methods and numerical modelling in environment and natural ressources, MAMERN'09, EUG, pp. 761-766, 2009

 

Erhel, J.; de Dreuzy, J.-R. & Poirriez, B.
flow simulations in three-dimensional Discrete Fracture Networks
SIAM Journal on Scientific Computing, Volume 31, no 4, pp. 2688-2705, 2009 (pdf)

 

Zein, S.; Canot, E.; Erhel, J. & Nassif, N.
Determination and Sensitivity Analysis of the Seismic Velocity of a Shallow Layer from Refraction Traveltimes Measures
International Journal of Multiphysics, Volume 2, no. 4, pp. 437-456, 2009

 

Zein, S.; Canot, É.; Erhel, J. & Nassif, N.
Determination of the Mechanical Properties of a Solid Elastic Medium from a Seismic Wave Propagation Using Two Statistical Estimators
Mathematics and Mechanics of Solids, Volume 13, pp. 388-407, 2008 (pdf)

 

de Dreuzy, J.-R.; Beaudoin, A., Erhel, J.
Reply to comment by A. Fiori et al. on "Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations
Water Resource Research, Volume 44, Article Number W06604, 2008 (pdf)

 

Beaudoin, A.;de Dreuzy, J.-R.; & Erhel, J.
A.-M. Kermarrec ; L. Bougé ; T. Priol (ed.)
An efficient parallel particle tracker for advection-diffusion simulations in heterogeneous porous media
Euro-Par 2007, LNCS 4641, 2007, 705-714 (pdf)  

de Dreuzy, J.-R.; Beaudoin, A. & Erhel, J.
Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations
Water Resource Research, Volume 43, Article Number W10439, 2007 (pdf)

Canot, É.; de Dieuleveult, C. & Erhel, J.
 Joubert, G.; Nagel, W.; Peters, F.; Plata, O.; Tirado, P. & Zapata, E. (ed.)
 A parallel software for a saltwater intrusion problem
 Parallel Computing: Current and Future Issues of High-End Computing, NIC, 2006, 33, 399-406 (pdf)

Beaudoin, A.; de Dreuzy, J.-R.; Erhel, J. & Mustapha, H.
Joubert, G.; Nagel, W.; Peters, F.; Plata, O.; Tirado, P. & Zapata, E. (ed.)
Parallel Simulations of Underground Flow in Porous and Fractured Media
Parallel Computing: Current and Future Issues of High-End Computing, NIC, 2006, 33, 391-398 (pdf)

Beaudoin, A.; Erhel, J. & de Dreuzy, J.-R.
A comparison between a direct and a multigrid sparse linear solvers for highly heterogeneous flux computations
Eccomas CFD 2006, 2006, CD (pdf)

Zein, S.; Canot, É.; Erhel, J. & Nassif, N.
Topping; Montero & Montenegro (ed.)
Recovery of the Velocity and the Shape of the Interface of a Geological Layer
Proc. of the Fifth Int. Conf. on Engng Comput. Technology, 2006

Zein, S.; Nassif, N.; Erhel, J. & Canot, É.
Rizzi & Vichi (ed.)
Recovery of the coefficients of the elastodynamics equation using two statistical estimators
Proc. of COMPSTAT 2006, 17th Symposium of IASC-ERS, Physica Verlag, 2006, 1421-1429 (pdf)

J-R. de Dreuzy, P. Davy, J. Erhel and J. de Bremond d'Ars.
Anomalous diffusion exponents in continuous two-dimensional multifractal media.
Physical Review E. , Volume 70, 016306 (6 pages), 2004. (pdf)

H. Hoteit and P. Ackerer and R. Mosé and J. Erhel and B. Philippe.
New two-dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes.
International Journal for Numerical Methods in Engineering , Volume 61, Issue 14, pp. 2566-2593, 2004 (pdf)

 

M. Brieu and J. Erhel
On the convergence of a non-incremental homogenization method for non-linear elastic composite materials.
Numerical Algorithms , Volume 32, pp. 141-161, 2003. (pdf)

 

J-R. de Dreuzy and J. Erhel.
Efficient algorithms for the determination of the connected fracture network and the solution to the steady-state flow equation in fracture networks.
Computers and Geosciences , Volume 29, pp. 107-111, 2003. (pdf)

 

H. Hoteit and R. Mosé and B. Philippe and P. Ackerer and J. Erhel.
The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations.
International Journal for Numerical Methods in Engineering , Volume 55, no 12, pp. 1373-1390, 2002. (pdf)

 

H. Hoteit and J. Erhel and R. Mosé and B. Philippe and P. Ackerer.
Numerical Reliability for Mixed Methods applied to Flow Problems in Porous Media.
Computational Geosciences , volume 6, no 2, pp. 161-194, 2002. (pdf)

 

I. Altas and J. Erhel and M. Gupta.
High Accuracy Solution of Three-Dimensional Biharmonic Equations.
Numerical Algorithms , Volume 29, no 1, pp. 1-19, 2002. (pdf)

 

M. Brieu, F. Devries, J. Erhel.
Algorithme parallèle non incrémental pour la simulation de l'évolution d'endommagements en milieux hyperélastiques.
Calculateurs parallèles, réseaux et systèmes répartis , Volume 13, no 1, pp. 83-106, 2001.

 

O. Beaumont and J. Erhel and B. Philippe.
Aquarels : a problem-solving environment for validating scientific software.
Enabling technologies for computational science, Kluwer Academic Publishers, Boston, 2000. (ps)

 

J. Erhel and F. Guyomarc'h.
An Augmented Conjugate Gradient Method for solving consecutive symmetric positive definite systems.
SIAM Journal on Matrix Analysis and Applications , Volume 21, no. 4, pp. 1279-1299, 2000. (pdf)

 

J. Erhel and S. Rault.
Algorithme parallèle pour le calcul d'orbites - Parallélisation à travers le temps.
Technique et Science Informatiques , Volume 19, no. 5, 2000. (ps)

 

Y. Saad, M. Yeung, J. Erhel, and F. Guyomarc'h.
A deflated version of the Conjugate Gradient Algorithm.
SIAM Journal on Scientific Computing, Volume 21, no. 5 pp.1909-1926, 2000. (pdf)

 

K. Burrage, J. Erhel, B. Pohl and A. Williams.
A deflation technique for linear systems of equations.
SIAM Journal on Science and Computation, Volume 19, Number 4, pp. 1245-1260, July 1998. (pdf)

 

M-O. Bristeau, J. Erhel.
Augmented Conjugate Gradient. Application in an iterative process for the solution of scattering problems.
Numerical Algorithms, 18, pp. 71-90, 1998. (pdf)

 

K. Burrage, J. Erhel.
On the performance of various adaptive preconditioned GMRES strategies.
Numerical Linear Algebra with Applications, Volume 5, pp. 101-121, 1998. (pdf)

 

J. Erhel.
About Newton-Krylov methods.
Computational science for the 21st century, John Wiley & Sons, Chichester, 1997, pp. 53-61. (ps)

 

R. Choquet and J. Erhel.
Newton-GMRES algorithm applied to compressible flows.
International Journal for Numerical Methods in Fluids, Volume 23, pp. 177-190, 1996. (pdf)

 

J. Erhel and K. Burrage and B. Pohl.
Restarted GMRES preconditioned by deflation.
Journal of Computation and Applied Mathematics, Volume 69, pp.303-318, 1996. (pdf)

 

K. Burrage and A. Williams and J. Erhel and B. Pohl.
The implementation of a Generalized Cross Validation algorithm using deflation techniques for linear systems.
Applied Numerical Mathematics, Volume 19, pp.17-31, 1995. (pdf)

 

J. Erhel.
A parallel GMRES version for general sparse matrices.
Electronic Transactions on Numerical Analysis, Volume 3, pp.160-176, 1995. (pdf)

 

J. Erhel.
A Parallel Preconditioned GMRES Algorithm for Sparse Matrices.
Lectures in Applied Mathematics, The Mathematics of Numerical Analysis, 1996, pp. 345-355. ( ps)

 

M.O. Bristeau and P. Féat and J. Erhel and R. Glowinski and J. Périaux.
Solving the Helmholtz equation at high wave numbers on a parallel computerwith a shared virtual memory.
International Journal of Supercomputer Applications and High Performance Computing, Volume 9, pp.18-28, 1995. (ps)

 

J-F. Carpraux and J. Erhel and M. Sadkane.
Spectral portrait for non hermitian large sparse matrices.
Computing, Volume 53, pp.301-310, 1994. (pdf)

 

J-F. Carpraux and J. Erhel.
A Knowledge-Based System for some Eigenvalue Problems.
Mathematics and Computers in Simulation, Volume 36, pp.315-325, 1994. (pdf)

 

J. Erhel.
Experiments with Data Perturbations to Study Condition Numbers and Numerical Stability.
Computing, Volume 51, pp.29-44, 1993. (pdf)

 

J. Erhel.
Vitesse et précision en calcul scientifique.
Habilitation à diriger des recherches, université de Rennes 1, 1992. ( ps ) (in french)