Bibliography
Major publications by the team in recent years
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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
Doctoral Dissertations and Habilitation Theses
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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
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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
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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)
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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
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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
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35M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations, February 2018, https://arxiv.org/abs/1705.08138 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01525438 -
36M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.
Two-level preconditioners for the Helmholtz equation, February 2018, https://arxiv.org/abs/1705.08139 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01525424 -
37X. Claeys, P. Marchand.
Boundary integral multi-trace formulations and Optimised Schwarz Methods, November 2018, working paper or preprint.
https://hal.inria.fr/hal-01921113 -
38J. Coulet, I. Faille, V. Girault, N. Guy, F. Nataf.
A fully coupled scheme using Virtual Element Method and Finite Volume for poroelasticity, October 2018, working paper or preprint.
https://hal-ifp.archives-ouvertes.fr/hal-01947455 -
39M. Graff, M. J. Grote, F. Nataf, F. Assous.
How to solve inverse scattering problems without knowing the source term: a three-step strategy, January 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02002931 -
40F. Hecht, S.-M. Kaber.
Fractional decomposition of matrices and parallel computing, September 2018, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01878765
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41F. Assous, M. Kray, F. Nataf, E. Turkel.
Time-reversed absorbing condition: application to inverse problems, in: Inverse Problems, 2011, vol. 27, no 6, 065003 p.
http://stacks.iop.org/0266-5611/27/i=6/a=065003 -
42M. J. Grote, M. Kray, F. Nataf, F. Assous.
Time-dependent wave splitting and source separation, in: Journal of Computational Physics, 2017, vol. 330, pp. 981 - 996. [ DOI : 10.1016/j.jcp.2016.10.021 ]
http://www.sciencedirect.com/science/article/pii/S0021999116305198