Team SAGE

Members
Overall Objectives
Scientific Foundations
Application Domains
Software
New Results
Other Grants and Activities
Dissemination
Bibliography

Bibliography

Major publications by the team in recent years

[1]
K. Burrage, J. Erhel.
On the performance of various adaptive preconditioned GMRES, in: Numerical Linear Algebra with Applications, 1998, vol. 5, p. 101-121.
[2]
R. Choquet, J. Erhel.
Newton-GMRES algorithm applied to compressible flows, in: International Journal for Numerical Methods in Fluids, 1996, vol. 23, p. 177-190.
[3]
M. Crouzeix, B. Philippe, M. Sadkane.
The Davidson Method, in: SIAM, Journal on Scientific and Statistical Computing, 1994, vol. 15:1, p. 62-76.
[4]
L. Grigori, X. Li.
A New Scheduling Algorithm for Parallel Sparse LU Factorization with Static Pivoting, in: Proceedings of IEEE/ACM Supercomputing Conference, 2002.
[5]
H. 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.
[6]
D. Mezher, B. Philippe.
Parallel computation of pseudospectra of large sparse matrices, in: Parallel Computing, 2002, vol. 28, no 2, p. 199-221.
[7]
Y. 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.

Publications of the year

Articles in refereed journals and book chapters

[8]
A. Beaudoin, S. Huberson, E. Rivoalen.
From Navier-Stokes to Stokes by means of particle methods, in: Journal of Computational Physics, 2006, vol. 214, no 1, p. 264-283.
[9]
L. Grigori, X. Li.
Towards an Accurate Performance Modeling of Parallel Sparse LU Factorization, in: Applicable Algebra in Engineering, Communication, and Computing, to appear, 2006.
[10]
D. Guibert, D. Tromeur-Dervout.
Parallel Adaptive Time domain decomposition for stiff systems of ODEs/DAEs, in: Computer and Structures, to appear, 2006.
[11]
G.-A. A. Kahou, E. Kamgnia, B. Philippe.
An explicit formulation of the multiplicative Schwarz preconditionner, in: Applied Numerical Mathematics (also INRIA research report RR-5685), to appear, 2006.
[12]
B. Philippe, Y. Saad.
Calcul des valeurs propres, in: Méthodes numériques de base - Algèbre numérique, C. Brezinski (editor), Techniques de l'Ingénieur, 2006.
[13]
B. Philippe, Y. Saad.
On correction equations and domain decomposition for computing invariant subspaces, in: Comput. Methods Appl. Mech. Eng., 2006.
[14]
D. Tromeur-Dervout.
Aitken-Schwarz method: acceleration of the convergence of the Schwarz method, in: Domain decomposition methods: theory and applications, F. Magoules, Kako (editors), GAKUTO Internat. Ser. Math. Sci. Appl., Gakkōtosho, Tokyo, 2006, vol. 25, p. 37–64.
[15]
D. Tromeur-Dervout, Y. Vassilevski.
Choice of initial guess in iterative solution of series of systems arising in fluid flow simulations, in: J. Comput. Phys., 2006, vol. 219, no 1, p. 210–227.
[16]
D. Tromeur-Dervout, Y. Vassilevski.
Fully implicit solution of nonlinear PDEs using POD basis on metacomputing architecture, in: Advances in Engineering Software 2006, to appear, 2006.

Publications in Conferences and Workshops

[17]
A. Abdelmoula, M. Moakher, B. Philippe.
Méthode de collocation pour la détermination d'un Géoide, in: Workshop High Performance Computing (UNESCO chair), ENIT, Tunis, 2006.
[18]
R. Aboulaich, F. Guyomarc'h, B. Philippe, M. Ziani.
Méthode de Broyden à mémoire limitée et approche de l'inverse de la matrice de Broyden, in: Workshop High Performance Computing (UNESCO chair), ENIT, Tunis, 2006.
[19]
G.-A. Atenekeng-Kahou, L. Grigori, M. Sosonkina.
A partitioning algorithm for block-diagonal matrices with overlap, in: Parallel Matrix Algorithms and Applications (PMAA06), 2006.
[20]
A. Beaudoin, J.-R. de Dreuzy, J. Erhel, H. Mustapha.
Parallel Simulations of Underground Flow in Porous and Fractured Media, in: Parallel Computing: Current and Future Issues of High-End Computing, G. Joubert, W. Nagel, F. Peters, O. Plata, P. Tirado, E. Zapata (editors), NIC Series, NIC, 2006, vol. 33, p. 391-398.
[21]
A. Beaudoin, J. Erhel, J.-R. de Dreuzy.
A comparison between a direct and a multigrid sparse linear solvers for highly heterogeneous flux computations, in: Eccomas CFD 2006, 2006, vol. CD.
[22]
É. Canot.
GEOLOG: a SALOME based platform for hydrogeological simulations, in: Workshop 3+3 Numerical computing for groundwater flows, 2006.
[23]
É. Canot, C. de Dieuleveult, J. Erhel.
A parallel software for a saltwater intrusion problem, in: Parallel Computing: Current and Future Issues of High-End Computing, G. Joubert, W. Nagel, F. Peters, O. Plata, P. Tirado, E. Zapata (editors), NIC Series, NIC, 2006, vol. 33, p. 399-406.
[24]
C. de Dieuleveult, J. Erhel.
A global numerical model for coupling chemistry and transport, in: Workshop 3+3 Numerical computing for groundwater flows, 2006.
[25]
J. Erhel, A. Beaudoin, J.-R. de Dreuzy.
Simulation numérique du transport de solutés dans des milieux poreux hétérogènes, in: Workshop on High Performance Computing, conférence invitée, ENIT, Tunis, 2006.
[26]
J. Erhel, C. de Dieuleveult.
Nonlinear methods for reactive transport simulations, in: Int. conf. on Approximation and Iterative Methods, Lille, conférence invitée, 2006.
[27]
J. Erhel, A. Frullone, D. Tromeur-Dervout, J.-R. de Dreuzy.
Aitken-Schwarz DDM to solve Darcy flow in heterogeneous underground mediums, in: Parallel Matrix Algorithms and Applications (PMAA06), 2006.
[28]
A. Frullone, D. Tromeur-Dervout.
A new Formulation of Non Uniform Fourier Transform with application to Aitken-Schwarz DDM on non uniform mesh., in: Parallel Computational Fluid Dynamics 2005 : Theory and Applications, A. Deane, et Al (editors), Elsevier Science, 2006, p. 493–500.
[29]
A. Frullone, D. Tromeur-Dervout.
Non Uniform Discrete Fourier Transform for the adaptive acceleration of the Aitken-Schwarz DDM, in: Proc. Int. Conf. on Domain Decomposition Methods, to appear, 2006.
[30]
S.-C. Georgescu, É. Canot, J.-L. Achard.
Oil in water injection from a submerged nozzle, in: Proc. of the 2nd Workshop on Vortex Dominated Flows. Achievements and Open Problems, Timisoara, Romania, June 30 - July 1, Bernad, Munteam, Susan-Resiga (editors), 2006, vol. 51 (65), p. 67-74.
[31]
S.-C. Georgescu, É. Canot, J.-L. Achard, A. Soucemarianadin.
Drops ejection from a capillary nozzle by Drop-On-Demand technology, in: Proc. Conference on Modelling Fluid Flow CMFF'06, Budapest, Sept. 6-9, Lajos, Vad (editors), 2006, vol. II, p. 684-691.
[32]
L. Grigori, X. S. Li.
Performance Analysis of Parallel Right-Looking Sparse LU Factorization on Two Dimensional Grid of Processors, in: PARA'04 Workshop on State-of-the-Art in Scientific Computing, LNCS, Springer, 2006, vol. LNCS, no 3732, p. 768-777.
[33]
D. Guibert, D. Tromeur-Dervout.
Adaptive Parallel Extrapolation methods for ODEs systems, in: Parallel Computational Fluid Dynamics 2005 : Theory and Applications, A. Deane, et al (editors), Elsevier Science, 2006, p. 301–308.
[34]
D. Guibert, D. Tromeur-Dervout.
Adaptive Parareal for system of ODEs, in: Domain Decomposition Methods in Science and Engineering XVI, O. B. Widlund, D. E. Keyes (editors), Lecture Notes in Computational Science and Engineering, to appear, Springer-Verlag, January 2006, vol. 55.
[35]
D. Guibert, D. Tromeur-Dervout.
Domain Decomposition methods for Stiff ODEs/DAEs, in: Parallel Matrix Algorithms and Applications (PMAA06), 2006.
[36]
D. Guibert, D. Tromeur-Dervout.
Parallel Deferred Correction method for CFD Problems, in: Proc. Int. Conf. Parallel Computation Fluid Dynamics, to appear, 2006.
[37]
D. Guibert, D. Tromeur-Dervout.
Schur DDM for stiff DAE/ODE systems for complex mechanical system 0D modelling, in: Proc. Int. Conf. on Domain Decomposition Methods, to appear, 2006.
[38]
F. Guyomarc'h.
Sparse rank-revealing QR factorization, in: ILAS'06 conference, 2006.
[39]
F. Guyomarc'h, M. Ziani.
An autoadaptative limited memory Broyden methods, in: Workshop 3+3 Numerical computing for groundwater flows, 2006.
[40]
G.-A. A. Kahou, L. Grigori, M. Sosonkina.
Un algorithme de partitionnement d'une matrice en blocs diagonaux avec recouvrement, in: Workshop High Performance Computing (UNESCO chair), ENIT, Tunis, 2006.
[41]
G.-A. A. Kahou, E. Kamgnia, B. Philippe.
Implémentation parallèle de GMRES préconditionnée par Schwarz multiplicatif, in: Workshop High Performance Computing (UNESCO chair), ENIT, Tunis, 2006.
[42]
E. Kamgnia, G.-A. Atenekeng-Kahou, B. Philippe, M. Sosonkina.
A Parallel Implementation with a Comparative Study of GMRES(m) Preconditioned by Multiplicative Schwarz Methods, in: Parallel Matrix Algorithms and Applications (PMAA06), 2006.
[43]
N. Nassif, N. M. Karam, Y. Soukiassian.
A New Approach for Solving Evolution Problems in Time-Parallel Way, in: Proceedings of International Conference on Computational Science ICCS 06, Part I, Springer Berlin / Heidelberg, 2006, vol. 3991, p. 148 - 155.
[44]
N. Nassif, N. M. Karam, Y. Soukiassian.
Algorithm RaPTI for solving evolution problems in a time-parallel way, in: Parallel Matrix Algorithms and Applications (PMAA06), 2006.
[45]
N. Nassif, N. M. Karam, Y. Soukiassian.
L'Algorithme RaPTIb « Ratio Based Parallel Time Integration » pour la parallélisation en temps des calculs de problèmes Diffusion-Convection, in: Workshop High Performance Computing (UNESCO chair), ENIT, Tunis, 2006.
[46]
B. Philippe, G.-A. Atenekeng-Kahou, L. Grigori, M. Sosonkina.
An automatic parallel iterative solver based on domain decomposition, in: Workshop 3+3 Numerical computing for groundwater flows, 2006.
[47]
B. Philippe, G.-A. Atenekeng-Kahou, E. Kamgnia.
A Parallel Version of GMRES Preconditioned by the Multiplicative Schwarz Method, in: SIAM Parallel Processing (PP06), 2006.
[48]
B. Philippe, N. Gmati, F. Jelassi.
GMRES preconditionners based on domain decomposition, in: ERCIM Working Group Matrix Computations and Statistics, 2006.
[49]
B. Philippe.
Convergence de la méthode GMRES, in: Workshop High Performance Computing (UNESCO chair), 2006.
[50]
B. Philippe.
Parallelizing GMRES and the Multiplicative Schwarz Preconditionner, in: Workshop on Grid and Parallel Computing (AUB), 2006.
[51]
D. Tromeur-Dervout.
Aitken-Schwartz domain decoposition to solve Darcy flow in heterogeneous media, in: Workshop 3+3 Numerical computing for groundwater flows, 2006.
[52]
D. Tromeur-Dervout, Y. Vassilevski.
POD acceleration of fully implicit solver for unsteady non-linear flows and its grid application, in: Parallel Computational Fluid Dynamics 2005 : Theory and Applications, A. Deane, et Al (editors), Elsevier Science, 2006, p. 157–164.
[53]
S. Zein, É. Canot, J. Erhel, N. Nassif.
Recovery of the Velocity and the Shape of the Interface of a Geological Layer, in: Proc. of the Fifth Int. Conf. on Engng Comput. Technology, Las Palmas de Gran Canaria, Spain, sept 12-15, Topping, Montero, Montenegro (editors), 2006.
[54]
S. Zein, N. Nassif, J. Erhel, É. Canot.
Recovery of the coefficients of the elastodynamics equation using two statistical estimators, in: Proc. of COMPSTAT 2006, 17th Symposium of IASC-ERS, Roma, Italia, August 28 - Sept 1, Rizzi, Vichi (editors), Physica Verlag, 2006, p. 1421-1429.

Internal Reports

[55]
É. Canot.
Gridmesh : un mailleur pour le code INTRUSION D'EAU SALÉE du projet HYDROGRID, Rapport de contrat Hydrogrid, IRISA, 2006.
[56]
É. Canot.
Muesli User's guide, Rapport interne, IRISA, 2006.
[57]
É. Canot, J. Erhel, N. Nassif, S. Zein.
Estimation des propriétés d'un milieu élastique solide en contact avec un fluide à partir de la propagation d'une onde sismique, rapport de contrat Ifremer n°05/2 210 132, IRISA, 2006.
[58]
É. Canot, J. Erhel, N. Nassif, S. Zein.
Inversion des temps de propagation d'une onde sismique par une méthode de lancé de rais et par un algorithme génétique, rapport de contrat IFREMER n°06/2 210 099, IRISA, 2006.
[59]
C. de Dieuleveult, J. Erhel.
Modèle numérique global et performant pour le couplage géochimie/transport, rapport de contrat Andra, IRISA, 2006.
[60]
C. de Dieuleveult, J. Erhel, C. Perez.
Déploiement sur une grille de calcul de composants logiciels parallèles pour simuler l'intrusion d'eau salée dans une nappe d'eau souterraine, Rapport de contrat Hydrogrid, IRISA, 2006.
[61]
A. Frullone, D. Tromeur-Dervout.
Adaptive acceleration of the Aitken-Schwarz Domain Decomposition on non uniform non matching grids, preprint, CDCSP, 2006, no CDCSP06-01.
[62]
D. Tromeur-Dervout, Y. Vassilevski.
POD acceleration of Inexact Newton method in massively parallel reservoir simulation, preprint, CDCSP, 2006, no CDCSP06-02.

References in notes

[63]
A. Björck.
Numerical methods for least-squares problems, SIAM, 1996.
[64]
A. Bruaset.
A survey of preconditioned iterative methods, Pitman Research Notes in Mathematics Series, Longman Scientific and Technical, 1995.
[65]
E. Chauvet, J. Paullet, J.P. Previte, Z. Walls.
A Lotka-Volterra Three-species Food Chain, in: Mathematics Magazine, 2002, vol. 75, p. 243-255.
[66]
J. E. Dennis, R. B. Schnabel.
Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall series in Computational Mathematics, 1983.
[67]
I. Duff, A. Erisman, J. Reid.
Direct Methods for Sparse Matrices, Oxford Science Publications, 1986.
[68]
B. Engquist, H. Zhao.
Absorbing Boundary Conditions for Domain Decomposition, in: Applied Numerical Mathematics, 1998, vol. 27, p. 341-365.
[69]
Erhel.
Analysis of an SIRS age-structured epidemic model with vaccination and vertical transmission of disease, in: AAM, 2006, vol. 1, no 1, p. 36-61.
[70]
M. Garbey, D. Tromeur-Dervout.
On some Aitken-like acceleration of the Schwarz method, in: Internat. J. Numer. Methods Fluids, LMS Workshop on Domain Decomposition Methods in Fluid Mechanics (London, 2001), 2002, vol. 40, no 12, p. 1493–1513.
[71]
S. K. Godunov, O. P. Kiriljuk, V. I. Kostin.
Spectral portrait of matrices and criteria of spectrum dichotomy, in: Computer arithmetic and enclosure methods, J. Herzberger, L. Athanassova (editors), 1991.
[72]
P. C. Hansen.
Rank-deficient and discrete ill-posed problems, SIAM, 1997.
[73]
H. Hethcote.
The Mathematics of Infectious Diseases., in: SIAM Review, 2000, vol. 42, no 4, p. 599-633.
[74]
H. Inaba.
Mathematical analysis of an age-structured SIR epidemic model with vertical transmission, in: Discrete and Continuous Dynamical Systems- Series B, 2006, vol. 6, no 1, p. 69-96.
[75]
C. T. Kelley.
Solving nonlinear equations with Newton's method, Fundamentals of Algorithms, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2003.
[76]
G. Meurant.
Computer solution of large linear systems, North Holland, Amsterdam, 1999.
[77]
J. Ortega, W. Rheinboldt.
Iterative Solution of Nonlinear Equations in Several Variables, Computer science and applied mathematics, Academic Press, 1970.
[78]
Y. Saad.
Iterative methods for sparse linear systems, PWS publishing, 1995.
[79]
G. L. G. Sleijpen, H. A. Van der Vorst.
A Jacobi-Davidson iteration method for linear eigenvalue problems, in: SIAM J. Matrix Anal. Appl., 1996, vol. 17.
[80]
L. N. Trefethen.
Pseudospectra of matrices, in: Numerical Analysis, D. F. Griffiths, G. A. Watson (editors), Longman Scientific and Technical, 1991.

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