EN FR
EN FR
Overall Objectives
New Software and Platforms
Bilateral Contracts and Grants with Industry
Bibliography
Overall Objectives
New Software and Platforms
Bilateral Contracts and Grants with Industry
Bibliography


Bibliography

Major publications by the team in recent years
  • 1X. Claeys.

    Essential spectrum of local multi-trace boundary integral operators, in: IMA J. Appl. Math., 2016, vol. 81, no 6, pp. 961–983.

    https://doi-org.accesdistant.sorbonne-universite.fr/10.1093/imamat/hxw019
  • 2X. Claeys, R. Hiptmair.

    Integral equations for electromagnetic scattering at multi-screens, in: Integral Equations Operator Theory, 2016, vol. 84, no 1, pp. 33–68.

    https://doi-org.accesdistant.sorbonne-universite.fr/10.1007/s00020-015-2242-5
  • 3X. Claeys, R. Hiptmair, E. Spindler.

    Second kind boundary integral equation for multi-subdomain diffusion problems, in: Adv. Comput. Math., 2017, vol. 43, no 5, pp. 1075–1101.

    https://doi-org.accesdistant.sorbonne-universite.fr/10.1007/s10444-017-9517-0
  • 4J. W. Demmel, L. Grigori, M. Hoemmen, J. Langou.

    Communication-optimal parallel and sequential QR and LU factorizations, in: SIAM Journal on Scientific Computing, 2012, no 1, pp. 206-239, short version of technical report UCB/EECS-2008-89 from 2008.
  • 5V. Dolean, P. Jolivet, F. Nataf.

    An Introduction to Domain Decomposition Methods: algorithms, theory and parallel implementation, SIAM, 2015.
  • 6L. Grigori, J. Demmel, H. Xiang.

    CALU: a communication optimal LU factorization algorithm, in: SIAM Journal on Matrix Analysis and Applications, 2011, vol. 32, pp. 1317-1350.
  • 7L. Grigori, S. Moufawad, F. Nataf.

    Enlarged Krylov Subspace Conjugate Gradient methods for Reducing Communication, in: SIAM Journal on Matrix Analysis and Applications, 2016, vol. 37, no 2, pp. 744-773.
  • 8R. Haferssas, P. Jolivet, F. Nataf.

    An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method, in: SIAM J. Sci. Comput., 2017, vol. 39, no 4, pp. A1345–A1365.

    http://dx.doi.org/10.1137/16M1060066
  • 9F. Hecht.

    New development in FreeFem++, in: J. Numer. Math., 2012, vol. 20, no 3-4, pp. 251–265.
  • 10P. Jolivet, F. Nataf.

    HPDDM: High-Performance Unified framework for Domain Decomposition methods, MPI-C++ library, 2014, https://github.com/hpddm/hpddm.
  • 11N. Spillane, V. Dolean, P. Hauret, F. Nataf, C. Pechstein, R. Scheichl.

    Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps, in: Numer. Math., 2014, vol. 126, no 4, pp. 741–770.

    http://dx.doi.org/10.1007/s00211-013-0576-y
Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 12H. Al Daas.

    Solving linear systems arising from reservoirs modelling, Inria Paris ; Sorbonne Université, UPMC University of Paris 6, Laboratoire Jacques-Louis Lions, December 2018.

    https://hal.inria.fr/tel-01984047
  • 13A. A. Obregón.

    Complexity reduction methods applied to the rapid solution to multi-trace boundary integral formulations, Sorbonne University , UPMC, November 2018.

    https://tel.archives-ouvertes.fr/tel-02004298

Articles in International Peer-Reviewed Journals

  • 14H. Al Daas, L. Grigori.

    A class of efficient locally constructed preconditioners based on coarse spaces, in: SIAM Journal on Matrix Analysis and Applications, 2018.

    https://hal.inria.fr/hal-01963067
  • 15H. Al Daas, L. Grigori, P. Hénon, P. Ricoux.

    Enlarged GMRES for solving linear systems with one or multiple right-hand sides, in: IMA Journal of Numerical Analysis, August 2018.

    https://hal.inria.fr/hal-01963032
  • 16R. Aldbaissy, F. Hecht, G. Mansour, T. Sayah.

    A full discretisation of the time-dependent Boussinesq (buoyancy) model with nonlinear viscosity, in: Calcolo, December 2018, vol. 55, no 4.

    https://hal.archives-ouvertes.fr/hal-01972178
  • 17A. Ayala, X. Claeys, L. Grigori.

    ALORA: Affine Low-Rank Approximations, in: Journal of Scientific Computing, April 2018.

    https://hal.inria.fr/hal-01762882
  • 18G. R. Barrenechea, V. Dolean, F. Nataf, P.-H. Tournier.

    Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem, in: Computational Methods in Applied Mathematics, March 2018.

    https://hal.archives-ouvertes.fr/hal-01967577
  • 19M. Bonazzoli, V. Dolean, F. Hecht, F. Rapetti.

    An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations, in: Computers and Mathematics with Applications, March 2018, vol. 75, no 5, pp. 1498 - 1514, https://arxiv.org/abs/1711.05629. [ DOI : 10.1016/j.camwa.2017.11.013 ]

    https://hal.archives-ouvertes.fr/hal-01298938
  • 20M. Bonazzoli, V. Dolean, F. Rapetti, P.-H. Tournier.

    Parallel preconditioners for high order discretizations arising from full system modeling for brain microwave imaging, in: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2018, vol. 31, no 2. [ DOI : 10.1002/jnm.2229 ]

    https://hal.archives-ouvertes.fr/hal-01328197
  • 21T. Chacon Rebollo, M. Gómez Marmol, F. Hecht, S. Rubino, I. Sánchez Muñoz.

    A High-Order Local Projection Stabilization Method for Natural Convection Problems, in: Journal of Scientific Computing, February 2018, vol. 74, no 2, pp. 667-692. [ DOI : 10.1007/s10915-017-0469-9 ]

    https://hal.archives-ouvertes.fr/hal-01972136
  • 22L. Chesnel, X. Claeys, S. A. Nazarov.

    Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner, in: ESAIM: Mathematical Modelling and Numerical Analysis, September 2018. [ DOI : 10.1051/m2an/2016080 ]

    https://hal.archives-ouvertes.fr/hal-01240977
  • 23L. Grigori, S. Cayrols, J. W. Demmel.

    Low Rank Approximation of a Sparse Matrix Based on LU Factorization with Column and Row Tournament Pivoting, in: SIAM Journal on Scientific Computing, January 2018, vol. 40, no 2, pp. C181-C209.

    https://hal.archives-ouvertes.fr/hal-01967901
  • 24F. Hecht, T. Jangveladze, Z. Kiguradze, O. Pironneau.

    Finite difference scheme for one system of nonlinear partial integro-differential equations, in: Applied Mathematics and Computation, July 2018, vol. 328, pp. 287-300.

    https://hal.archives-ouvertes.fr/hal-01972158
  • 25F. Hecht, I. Naji, Z. Mghazli, J. Roberts.

    A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures, in: Journal of Scientific Computing, November 2018, pp. 1–34. [ DOI : 10.1007/s10915-018-0875-7 ]

    https://hal.sorbonne-universite.fr/hal-01972116
  • 26J. Papez, L. Grigori, R. Stompor.

    Solving linear equations with messenger-field and conjugate gradient techniques: An application to CMB data analysis, in: Astronomy and Astrophysics, November 2018, vol. 620, A59 p. [ DOI : 10.1051/0004-6361/201832987 ]

    https://hal.archives-ouvertes.fr/hal-01731325
  • 27M. Čermák, F. Hecht, Z. Tang, M. Vohralík.

    Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem, in: Numerische Mathematik, February 2018, vol. 138, no 4, pp. 1027-1065. [ DOI : 10.1007/s00211-017-0925-3 ]

    https://hal.inria.fr/hal-01097662

International Conferences with Proceedings

  • 28G. Ballard, J. W. Demmel, L. Grigori, M. Jacquelin, N. Knight.

    A 3D Parallel Algorithm for QR Decomposition, in: SPAA '18 - 30th ACM Symposium on Parallelism in Algorithms and Architectures, Vienna, Austria, ACM, July 2018.

    https://hal.inria.fr/hal-01968376
  • 29V. l. Coli, P.-H. Tournier, V. Dolean, I. El Kanfoud, C. Pichot, C. Migliaccio, L. Blanc-Féraud.

    Detection of Brain Strokes Using Microwave Tomography, in: International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Boston, United States, IEEE, July 2018, pp. 223-224. [ DOI : 10.1109/APUSNCURSINRSM.2018.8609404 ]

    https://hal.archives-ouvertes.fr/hal-01824526

Scientific Books (or Scientific Book chapters)

  • 30D. Boffi, F. Hecht, O. Pironneau.

    Distributed Lagrange Multiplier for Fluid-Structure Interactions, in: Numerical Methods for PDEs: State of the Art Techniques, Springer, October 2018, pp. 129-145. [ DOI : 10.1007/978-3-319-94676-4_5 ]

    https://hal.archives-ouvertes.fr/hal-01972151

Internal Reports

  • 31H. Al Daas, L. Grigori.

    A class of efficient locally constructed preconditioners based on coarse spaces, Inria – Centre Paris-Rocquencourt ; Laboratoire Jacques-Louis Lions, UPMC, Paris, June 2018, no RR-9184.

    https://hal.inria.fr/hal-01816513
  • 32H. Al Daas, L. Grigori, P. Hénon, P. Ricoux.

    Recycling Krylov subspaces and reducing deflation subspaces for solving sequence of linear systems, Inria Paris, October 2018, no RR-9206.

    https://hal.inria.fr/hal-01886546
  • 33A. Ayala, X. Claeys, L. Grigori.

    Linear-time CUR approximation of BEM matrices, Inria PARIS, October 2018, no RR-9208.

    https://hal.inria.fr/hal-01893036
  • 34L. Grigori, O. Tissot.

    Scalable Linear Solvers based on Enlarged Krylov subspaces with Dynamic Reduction of Search Directions, Inria Paris ; Laboratoire Jacques-Louis Lions, UPMC, Paris, July 2018, no RR-9190, pp. 1-30.

    https://hal.inria.fr/hal-01828521

Other Publications

References in notes