Sébastien Loisel

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Peer-Reviewed Publications.

[17] S. W. Drury and S. Loisel, Sharp condition number estimates for the symmetric 2-Lagrange multiplier method. Accepted for publication in the DD20 proceedings. preprint

[16] S. Loisel, Condition number estimates and weak scaling for 2-level 2-Lagrange multiplier methods for general domains and cross points. Submitted (17 pages). Preprint available on request.

[15] S. Loisel, Condition number estimates for the nonoverlapping optimized Schwarz method and the 2-Lagrange multiplier method for general domains and cross points. Submitted. preprint Heriot-Watt Mathematics Report HWM11-5, 1 Mar 2011

[14] M. J. Gander, S. Loisel and D. B. Szyld, An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domain. In SIMAX (2012). preprint.

[13] S. Loisel and Y. Takane, Minimum Polynomial Extrapolation in MATLAB and in R. Submitted (3 pages). Preprint available on request.

[12] S. Loisel and Y. Takane, Generalized GIPSCAL Re-revisited: A fast convergent algorithm with acceleration by the minimum polynomial extrapolation. Advances in data analysis and classifications 5 pp. 57--75 (2011) DOI: 10.1007/s11634-010-0083-2. preprint

[11] O. Dubois, M. J. Gander, S. Loisel, A. St-Cyr, and D. B. Szyld, The Optimized Schwarz Method with a Coarse Grid Correction. SIAM J. Sci. Comput. 34, pp. A421-A458 (38 pages), 2012 preprint.

[10] S. Loisel, J. Côté, M. J. Gander, L. Laayouni, A. Qaddouri, Optimized Domain Decomposition Methods for the Spherical Laplacian. In SINUM 48, pp. 524--551 (2010). preprint

[9] S. Loisel and D. B. Szyld, On the convergence of Algebraic Optimizable Schwarz Methods with applications to elliptic problems. Numerische Mathematik 4 pp. 697--728 (2009). Temple report 07-11-16

[8] S. Loisel, M. Takane, Fast Robust Generalized Method of Moments. Computational Statistics and Data Analysis 53 (2009), 3571--3579. preprint

[7] S. Loisel and D. B. Szyld, On the convergence of Optimizable Schwarz Methods by way of Matrix Analysis. In Bercovier, M., Gander, M., Kornhuber, R., Widlund, O., Domain Decomposition Methods in Science and Engineering XVIII (2009), 363--370. preprint

[6] S. Loisel and D. B. Szyld, A maximum principle for trace norms with an application to Optimizable Schwarz Methods. In Bercovier, M., Gander, M., Kornhuber, R., Widlund, O., Domain Decomposition Methods in Science and Engineering XVIII (2009), 193--200. preprint

[5] S. Loisel, R. Nabben, D. B. Szyld, On Hybrid Multigrid-Schwarz algorithms. In Journal of Scientific Computing 36 pp. 165--176 (2008). (Temple report 07-8-28 version)

[4] A. Qaddouri, L. Laayouni, S. Loisel, J. Côté, M. J. Gander, Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results. Applied Numerical Mathematics, Volume 58, Issue 4, April 2008, Pages 459--471.

[3] N. Bartholdi, J. Blanc, S. Loisel, Line and pseudo-line arrangements with maximal number of triangles. In Discrete and Computational Geometry - Twenty Years Later. 2007.

[2] S. Loisel, Optimal and optimized domain decomposition methods on the sphere. In Olof B. Widlund and David E. Keyes (editors), Domain Decomposition Methods in Science and Engineering XVI, Lecture Notes in Computational Science and Engineering, vol. 55, Springer, 2006, pp. 197-204.

[1] J. Côté, M. J. Gander, L. Laayouni, and S. Loisel, Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere. In R. Kornhuber, R. Hoppe, J. Priaux, O. Pironneau, O. B. Widlund, and J. Xu (editors), Domain Decomposition Methods in Science and Engineering, Lecture Notes in Computational Science and Engineering, vol. 40, Springer, 2004, pp. 235-242.

Other publications.

S. Loisel, Optimal and optimized domain decomposition methods on the sphere. Ph.D. thesis, McGill university, 2005.

S. Loisel, Polarization constants for symmetric multilinear forms. Master's thesis, McGill University, 2001.

S. Loisel, Zed3D: a compact reference for 3d computer graphics programming. 1996.

Slides

Subspace correction preconditioners. Talk given 29 May at the University of Geneva in the numerical analysis seminar.

Miscellaneous.

Click at your own risk: right where it belongs.mp3

Practice you Japanese kana with the Kana Guessing Game.

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