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. W. 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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12R. Aldbaissy.
Scalable domain decomposition preconditioner for Navier-Stokes equations coupled with the heat equation, Sorbonne Université / Université Pierre et Marie Curie - Paris VI ; Université Saint-Joseph (Beyrouth), March 2019.
https://hal.archives-ouvertes.fr/tel-02458872 -
13S. Cayrols.
Minimizing communication for incomplete factorizations and low-rank approximations on large scale computers, Sorbonne Universites, UPMC University of Paris 6, February 2019.
https://tel.archives-ouvertes.fr/tel-02437769 -
14J. Coulet.
Coupling Virtual Element Methods and finite volume schemes for computational geomechanics, Sorbonne-Université, November 2019.
https://tel.archives-ouvertes.fr/tel-02416511 -
15S. A. Hirstoaga.
Design and performant implementation of numerical methods for multiscale problems in plasma physics, Université de Strasbourg, IRMA UMR 7501, April 2019, Habilitation à diriger des recherches.
https://tel.archives-ouvertes.fr/tel-02081304 -
16Z. Jorti.
Fast solution of sparse linear systems with adaptive choice of preconditioners, Sorbonne Université / Université Pierre et Marie Curie - Paris VI, October 2019.
https://tel.archives-ouvertes.fr/tel-02425679 -
17O. Tissot.
Iterative methods for solving linear systems on massively parallel architectures, Sorbonne Université, January 2019.
https://tel.archives-ouvertes.fr/tel-02428348
Articles in International Peer-Reviewed Journals
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18A. Anciaux-Sedrakian, L. Grigori, Z. Jorti, J. Papež, S. Yousef.
Adaptive solution of linear systems of equations based on a posteriori error estimators, in: Numerical Algorithms, May 2019. [ DOI : 10.1007/s11075-019-00757-z ]
https://hal.inria.fr/hal-02425391 -
19A. Ayala, X. Claeys, L. Grigori.
ALORA: Affine Low-Rank Approximations, in: Journal of Scientific Computing, May 2019, vol. 79, no 2, pp. 1135–1160.
https://hal.inria.fr/hal-01762882 -
20A. Ayala, X. Claeys, L. Grigori.
Linear-time CUR approximation of BEM matrices, in: Journal of Computational and Applied Mathematics, April 2020, vol. 368, no 112528.
https://hal.inria.fr/hal-01893036 -
21M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption, in: Mathematics of Computation, May 2019, https://arxiv.org/abs/1711.03789, forthcoming. [ DOI : 10.1090/mcom/3447 ]
https://hal.archives-ouvertes.fr/hal-01644011 -
22X. Claeys, R. Hiptmair.
First-Kind Boundary Integral Equations for the Hodge-Helmholtz Operator, in: SIAM Journal on Mathematical Analysis, January 2019.
https://hal.archives-ouvertes.fr/hal-02425385 -
23X. Claeys, R. Hiptmair.
First-Kind Galerkin Boundary Element Methods for the Hodge-Laplacian in Three Dimensions, in: Mathematical Methods in the Applied Sciences, 2019, forthcoming.
https://hal.archives-ouvertes.fr/hal-02425493 -
24H. A. Daas, L. Grigori.
A Class of Efficient Locally Constructed Preconditioners Based on Coarse Spaces, in: SIAM Journal on Matrix Analysis and Applications, January 2019, vol. 40, no 1, pp. 66-91. [ DOI : 10.1137/18M1194365 ]
https://hal.inria.fr/hal-02425450 -
25S. Dib, V. Girault, F. Hecht, T. Sayah.
A posteriori error estimates for Darcy’s problem coupled with the heat equation, in: ESAIM: Mathematical Modelling and Numerical Analysis, June 2019, vol. 53, no 6, pp. 2121 - 2159. [ DOI : 10.1051/m2an/2019049 ]
https://hal.archives-ouvertes.fr/hal-02427095 -
26M. Graff, M. J. Grote, F. Nataf, F. Assous.
How to solve inverse scattering problems without knowing the source term: a three-step strategy, in: Inverse Problems, September 2019, vol. 35, no 10, 104001 p, Special Issue in Memory of Professor Armin Lechleiter. [ DOI : 10.1088/1361-6420/ab2d5f ]
https://hal.archives-ouvertes.fr/hal-02002931 -
27L. Grigori, Q. Niu, Y. Xu.
Stabilized dimensional factorization preconditioner for solving incompressible Navier-Stokes equations, in: Applied Numerical Mathematics, December 2019, vol. 146, pp. 309-327. [ DOI : 10.1016/j.apnum.2019.05.026 ]
https://hal.inria.fr/hal-02425402 -
28L. Grigori, O. Tissot.
Scalable Linear Solvers Based on Enlarged Krylov Subspaces with Dynamic Reduction of Search Directions, in: SIAM Journal on Scientific Computing, January 2019, vol. 41, no 5, pp. C522-C547. [ DOI : 10.1137/18M1196285 ]
https://hal.inria.fr/hal-02425400 -
29F. Nataf.
Mathematical Analysis of Robustness of Two-Level Domain Decomposition Methods with respect to Inexact Coarse Solves, in: Numerische Mathematik, February 2020, https://arxiv.org/abs/1912.13225. [ DOI : 10.1007/s00211-020-01102-6 ]
https://hal.archives-ouvertes.fr/hal-01573197 -
30P.-H. Tournier, I. Aliferis, M. Bonazzoli, M. de Buhan, M. Darbas, V. Dolean, F. Hecht, P. Jolivet, I. El Kanfoud, C. Migliaccio, F. Nataf, C. Pichot, S. Semenov.
Microwave Tomographic Imaging of Cerebrovascular Accidents by Using High-Performance Computing, in: Parallel Computing, July 2019, vol. 85, pp. 88-97, https://arxiv.org/abs/1607.02573. [ DOI : 10.1016/j.parco.2019.02.004 ]
https://hal.archives-ouvertes.fr/hal-01343687
International Conferences with Proceedings
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31L. Eyraud-Dubois, S. Kumar.
Analysis of a List Scheduling Algorithm for Task Graphs on Two Types of Resources, in: IPDPS 2020 - 34th IEEE International Parallel and Distributed Procesing Symposium, New Orleans, United States, May 2020.
https://hal.inria.fr/hal-02431810
Other Publications
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32H. Al Daas, L. Grigori, P. Jolivet, P.-H. Tournier.
A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces, June 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02151184 -
33V. Ehrlacher, L. Grigori, D. Lombardi, H. Song.
Adaptive hierarchical subtensor partitioning for tensor compression, September 2019, working paper or preprint.
https://hal.inria.fr/hal-02284456 -
34M. J. Grote, F. Nataf, J. Hoe Tang, P.-H. Tournier.
Parallel Controllability Methods For the Helmholtz Equation, February 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02046089 -
35H. Houssein, S. Garnotel, F. Hecht.
Frictionless contact problem for hyperelastic materials with interior point optimizer, November 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02355429 -
36P. Marchand, X. Claeys, P. Jolivet, F. Nataf, P.-H. Tournier.
Two-level preconditioning for h-version boundary element approximation of hypersingular operator with GenEO, July 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02188771 -
37F. Nataf.
Adaptive Domain Decomposition method for Saddle Point problem in Matrix Form, November 2019, https://arxiv.org/abs/1911.01858 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02343808 -
38J. Papež, L. Grigori, R. Stompor.
Accelerating linear system solvers for time domain component separation of cosmic microwave background data, February 2020, working paper or preprint.
https://hal.inria.fr/hal-02470964
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39F. 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 -
40M. 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