- Anastasios Karangelis, Analysis and Massively Parallel Implementation of the 2-Lagrange Multiplier Methods and Optimized Schwarz Methods. Graduated 2016.
- David Neil Greer, Optimised Schwarz and 2-Lagrange multiplier methods for heterogeneous problems. Graduated 2017.
Publications.Latest accepted paper: S. Loisel and P. Maxwell, Path-following method to determine the field of values of a matrix with high accuracy, accepted for publication in SIMAX.
Some preprints are available on PURE, but the bibliography on Google Scholar seems more complete. The list below was extracted from Google Scholar.
|||Anastasios Karangelis and Sébastien Loisel. Condition number estimates and weak scaling for 2-level 2-lagrange multiplier methods for general domains and cross points. SIAM Journal on Scientific Computing, 37(2):C247–C267, 2015.|
|||Sébastien Loisel and Yoshio Takane. Partitions of pearson’s chi-square statistic for frequency tables: a comprehensive account. Computational Statistics, pages 1–24, 2015.|
|||Heiko Berninger, Sébastien Loisel, and Oliver Sander. The 2-lagrange multiplier method applied to nonlinear transmission problems for the richards equation in heterogeneous soil with cross points. SIAM Journal on Scientific Computing, 36(5):A2166–A2198, 2014.|
|||Anastasios Karangelis, Sébastien Loisel, and Chris Maynard. Solving large systems on hector using the 2-lagrange multiplier methods. In Domain Decomposition Methods in Science and Engineering XXI, pages 497–505. Springer International Publishing, 2014.|
|||Waad Subber and Sébastien Loisel. Schwarz preconditioners for stochastic elliptic pdes. Computer Methods in Applied Mechanics and Engineering, 272:34–57, 2014.|
|||SÉBASTIEN LOISEL, HIEU NGUYEN, and ROBERT SCHEICHL. Optimized schwarz and 2-lagrange multiplier methods for multiscale pdes. submitted July, 2014.|
|||Neil Greer and Sébastien Loisel. The optimised schwarz method and the two-lagrange multiplier method for heterogeneous problems in general domains with two general subdomains. Numerical Algorithms, pages 1–26, 2014.|
|||Yoshio Takane and Sébastien Loisel. On the pls algorithm for multiple regression (pls1). 2014.|
|||Sébastien Loisel. Condition number estimates for the nonoverlapping optimized schwarz method and the 2-lagrange multiplier method for general domains and cross points. SIAM Journal on Numerical Analysis, 51(6):3062–3083, 2013.|
|||Stephen W Drury and Sébastien Loisel. Sharp condition number estimates for the symmetric 2-lagrange multiplier method. In Domain Decomposition Methods in Science and Engineering XX, pages 255–261. Springer Berlin Heidelberg, 2013.|
|||Olivier Dubois, Martin J Gander, Sébastien Loisel, Amik St-Cyr, and Daniel B Szyld. The optimized schwarz method with a coarse grid correction. SIAM Journal on Scientific Computing, 34(1):A421–A458, 2012.|
|||Martin J Gander, Sébastien Loisel, and Daniel B Szyld. An optimal block iterative method and preconditioner for banded matrices with applications to pdes on irregular domains. SIAM Journal on Matrix Analysis and Applications, 33(2):653–680, 2012.|
|||Sébastien Loisel and Yoshio Takane. Generalized gipscal re-revisited: a fast convergent algorithm with acceleration by the minimal polynomial extrapolation. Advances in Data Analysis and Classification, 5(1):57–75, 2011.|
|||Sébastien Loisel, Jean Côté, Martin J Gander, Lahcen Laayouni, and Abdessamad Qaddouri. Optimized domain decomposition methods for the spherical laplacian. SIAM Journal on Numerical Analysis, 48(2):524–551, 2010.|
|||Sébastien Loisel and Daniel B Szyld. On the geometric convergence of optimized schwarz methods with applications to elliptic problems. Numerische Mathematik, 114(4):697–728, 2010.|
|||Sébastien Loisel and Marina Takane. Fast indirect robust generalized method of moments. Computational Statistics & Data Analysis, 53(10):3571–3579, 2009.|
|||Sébastien Loisel and Daniel B Szyld. On the convergence of optimized schwarz methods by way of matrix analysis. In Domain decomposition methods in science and engineering XVIII, pages 363–370. Springer Berlin Heidelberg, 2009.|
|||Sébastien Loisel and Daniel B Szyld. A maximum principle for l 2-trace norms with an application to optimized schwarz methods. In Domain Decomposition Methods in Science and Engineering XVIII, pages 193–200. Springer Berlin Heidelberg, 2009.|
|||Abdessamad Qaddouri, Lahcen Laayouni, Sébastien Loisel, Jean Côté, and Martin J Gander. Optimized schwarz methods with an overset grid for the shallow-water equations: preliminary results. Applied Numerical Mathematics, 58(4):459–471, 2008.|
|||Nicolas Bartholdi, Jeremy Blanc, and Sébastien Loisel. On simple arrangements of lines and pseudo-lines in p^2 and r^2 with the maximum number of triangles. Surveys on Discrete and Computational Geometry: Twenty Years Later: AMS-IMS-SIAM Joint Summer Research Conference, June 18-22, 2006, Snowbird, Utah, 453:105, 2008.|
|||Sébastien Loisel, Reinhard Nabben, and Daniel B Szyld. On hybrid multigrid-schwarz algorithms. Journal of Scientific Computing, 36(2):165–175, 2008.|
|||Sébastien Loisel. Optimal and optimized domain decomposition methods onthe sphere. In Domain Decomposition Methods in Science and Engineering XVI, pages 197–204. Springer Berlin Heidelberg, 2007.|
|||J Côté, MJ Gander, L Laayouni, and S Loisel. Comparison of the dirichlet-neumann and optimal schwarz method on the sphere. In Domain decomposition methods in science and engineering, pages 235–242. Springer Berlin Heidelberg, 2005.|
|||Sébastien Loisel. Polarization Constants for Symmetric Multilinear Forms. PhD thesis, Department of Mathematics, McGill University, 2001.|
|||Sébastian Loisel. Zed 3d. a compact reference for 3d computer graphics programming, 1996.|
|||SÉBASTIEN LOISEL. Computational kinematics for stick figures.|
|||Waad Subber and Sébastien Loisel. Schwarz preconditioner for the stochastic finite element method.|
|||Sébastien Loisel and Hieu Nguyen. On additive schwarz preconditioners for parallel adaptive finite elements.|
|||Sébastien Loisel and Hieu Nguyen. A comparison of additive schwarz preconditioners for parallel adaptive finite elements.|
|||Sébastien Loisel and Hieu Nguyen. An optimal schwarz preconditioner for parallel adaptive finite elements. SIAM J. Numer. Anal., submitted.|
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