- Anastasios Karangelis, Analysis and Massively Parallel Implementation of the 2-Lagrange Multiplier Methods and Optimized Schwarz Methods. Graduated June 2016.
- David Neil Greer, Optimised Schwarz and 2-Lagrange multiplier methods for heterogeneous problems. Ongoing.
Publications.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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