## Loisel, Sébastien

Compute Distance To:
 Author ID: loisel.sebastien Published as: Loisel, Sébastien; Loisel, S. External Links: MGP
 Documents Indexed: 29 Publications since 2005 Co-Authors: 23 Co-Authors with 27 Joint Publications 467 Co-Co-Authors
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### Co-Authors

 2 single-authored 6 Szyld, Daniel B. 5 Gander, Martin Jakob 4 Nguyen Trung Hieu 4 Takane, Yoshio 3 Côté, Jean-François 3 Laayouni, Lahcen 2 Karangelis, Anastasios 2 Qaddouri, Abdessamad 2 Subber, Waad 1 Bartholdi, Nicolas 1 Berninger, Heiko 1 Blanc, Jérémy 1 Breit, Dominic 1 Dubois, Olivier 1 Greer, Neil 1 Hofmanová, Martina 1 Maxwell, Peter 1 Maynard, Chris M. 1 Nabben, Reinhard 1 Sander, Oliver 1 Scheichl, Robert 1 St-Cyr, Amik 1 Takane, Marina
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### Serials

 4 SIAM Journal on Scientific Computing 3 SIAM Journal on Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Matrix Analysis and Applications 2 Advances in Data Analysis and Classification. ADAC 1 Computer Methods in Applied Mechanics and Engineering 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Computational Statistics 1 Computational Statistics and Data Analysis
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### Fields

 24 Numerical analysis (65-XX) 14 Partial differential equations (35-XX) 5 Statistics (62-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

24 Publications have been cited 137 times in 105 Documents Cited by Year
The optimized Schwarz method with a coarse grid correction. Zbl 1248.65127
Dubois, Olivier; Gander, Martin J.; Loisel, Sébastien; St-Cyr, Amik; Szyld, Daniel B.
2012
Optimized Schwarz methods with an overset grid for the shallow-water equations: Preliminary results. Zbl 1133.76037
2008
Condition number estimates for the nonoverlapping optimized Schwarz method and the 2-Lagrange multiplier method for general domains and cross points. Zbl 1287.35003
Loisel, Sébastien
2013
The 2-Lagrange multiplier method applied to nonlinear transmission problems for the Richards equation in heterogeneous soil with cross points. Zbl 1355.74056
Berninger, Heiko; Loisel, Sébastien; Sander, Oliver
2014
On the geometric convergence of optimized Schwarz methods with applications to elliptic problems. Zbl 1189.65275
Loisel, Sébastien; Szyld, Daniel B.
2010
Schwarz preconditioners for stochastic elliptic PDEs. Zbl 1296.65171
2014
An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domains. Zbl 1252.65068
Gander, Martin J.; Loisel, Sébastien; Szyld, Daniel B.
2012
Optimized Schwarz and 2-Lagrange multiplier methods for multiscale elliptic PDEs. Zbl 1329.65296
Loisel, Sébastien; Nguyen, Hieu; Scheichl, Robert
2015
On hybrid multigrid-Schwarz algorithms. Zbl 1203.65072
Loisel, Sébastien; Nabben, Reinhard; Szyld, Daniel B.
2008
The optimised Schwarz method and the two-Lagrange multiplier method for heterogeneous problems in general domains with two general subdomains. Zbl 1327.65262
Greer, Neil; Loisel, Sébastien
2015
Comparison of the Dirichlet-Neumann and optimal Schwarz method on the sphere. Zbl 1066.65142
Côté, J.; Gander, M. J.; Laayouni, L.; Loisel, S.
2005
Path-following method to determine the field of values of a matrix with high accuracy. Zbl 1453.65082
Loisel, Sébastien; Maxwell, Peter
2018
Optimized domain decomposition methods for the spherical Laplacian. Zbl 1215.65186
Loisel, S.; Côté, J.; Gander, M. J.; Laayouni, L.; Qaddouri, A.
2010
Partitions of Pearson’s chi-square statistic for frequency tables: a comprehensive account. Zbl 1348.65034
Loisel, Sébastien; Takane, Yoshio
2016
Fast indirect robust generalized method of moments. Zbl 1453.62142
Loisel, Sébastien; Takane, Marina
2009
On the convergence of optimized Schwarz methods by way of matrix analysis. Zbl 1183.65136
Loisel, Sébastien; Szyld, Daniel B.
2009
Efficient algorithms for solving the $$p$$-Laplacian in polynomial time. Zbl 1458.65151
Loisel, Sébastien
2020
An optimal Schwarz preconditioner for a class of parallel adaptive finite elements. Zbl 1366.65107
Loisel, Sébastien; Nguyen, Hieu
2017
Solving large systems on HECToR using the 2-Lagrange multiplier methods. Zbl 1382.65408
Karangelis, Anastasios; Loisel, Sébastien; Maynard, Chris
2014
A maximum principle for $$L^2$$-trace norms with an application to optimized Schwarz methods. Zbl 1183.65164
Loisel, Sébastien; Szyld, Daniel B.
2009
Condition number estimates and weak scaling for 2-level 2-Lagrange multiplier methods for general domains and cross points. Zbl 1320.65191
Karangelis, Anastasios; Loisel, Sébastien
2015
A comparison of additive Schwarz preconditioners for parallel adaptive finite elements. Zbl 1338.65265
Loisel, Sébastien; Nguyen, Hieu
2016
Space-time approximation of stochastic $$p$$-Laplace-type systems. Zbl 07383918
Breit, Dominic; Hofmanová, Martina; Loisel, Sébastien
2021
On simple arrangements of lines and pseudo-lines in $$\mathbb P^2$$ and $$\mathbb R^2$$ with the maximum number of triangles. Zbl 1156.52014
Bartholdi, Nicolas; Blanc, Jérémy; Loisel, Sébastien
2008
Space-time approximation of stochastic $$p$$-Laplace-type systems. Zbl 07383918
Breit, Dominic; Hofmanová, Martina; Loisel, Sébastien
2021
Efficient algorithms for solving the $$p$$-Laplacian in polynomial time. Zbl 1458.65151
Loisel, Sébastien
2020
Path-following method to determine the field of values of a matrix with high accuracy. Zbl 1453.65082
Loisel, Sébastien; Maxwell, Peter
2018
An optimal Schwarz preconditioner for a class of parallel adaptive finite elements. Zbl 1366.65107
Loisel, Sébastien; Nguyen, Hieu
2017
Partitions of Pearson’s chi-square statistic for frequency tables: a comprehensive account. Zbl 1348.65034
Loisel, Sébastien; Takane, Yoshio
2016
A comparison of additive Schwarz preconditioners for parallel adaptive finite elements. Zbl 1338.65265
Loisel, Sébastien; Nguyen, Hieu
2016
Optimized Schwarz and 2-Lagrange multiplier methods for multiscale elliptic PDEs. Zbl 1329.65296
Loisel, Sébastien; Nguyen, Hieu; Scheichl, Robert
2015
The optimised Schwarz method and the two-Lagrange multiplier method for heterogeneous problems in general domains with two general subdomains. Zbl 1327.65262
Greer, Neil; Loisel, Sébastien
2015
Condition number estimates and weak scaling for 2-level 2-Lagrange multiplier methods for general domains and cross points. Zbl 1320.65191
Karangelis, Anastasios; Loisel, Sébastien
2015
The 2-Lagrange multiplier method applied to nonlinear transmission problems for the Richards equation in heterogeneous soil with cross points. Zbl 1355.74056
Berninger, Heiko; Loisel, Sébastien; Sander, Oliver
2014
Schwarz preconditioners for stochastic elliptic PDEs. Zbl 1296.65171
2014
Solving large systems on HECToR using the 2-Lagrange multiplier methods. Zbl 1382.65408
Karangelis, Anastasios; Loisel, Sébastien; Maynard, Chris
2014
Condition number estimates for the nonoverlapping optimized Schwarz method and the 2-Lagrange multiplier method for general domains and cross points. Zbl 1287.35003
Loisel, Sébastien
2013
The optimized Schwarz method with a coarse grid correction. Zbl 1248.65127
Dubois, Olivier; Gander, Martin J.; Loisel, Sébastien; St-Cyr, Amik; Szyld, Daniel B.
2012
An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domains. Zbl 1252.65068
Gander, Martin J.; Loisel, Sébastien; Szyld, Daniel B.
2012
On the geometric convergence of optimized Schwarz methods with applications to elliptic problems. Zbl 1189.65275
Loisel, Sébastien; Szyld, Daniel B.
2010
Optimized domain decomposition methods for the spherical Laplacian. Zbl 1215.65186
Loisel, S.; Côté, J.; Gander, M. J.; Laayouni, L.; Qaddouri, A.
2010
Fast indirect robust generalized method of moments. Zbl 1453.62142
Loisel, Sébastien; Takane, Marina
2009
On the convergence of optimized Schwarz methods by way of matrix analysis. Zbl 1183.65136
Loisel, Sébastien; Szyld, Daniel B.
2009
A maximum principle for $$L^2$$-trace norms with an application to optimized Schwarz methods. Zbl 1183.65164
Loisel, Sébastien; Szyld, Daniel B.
2009
Optimized Schwarz methods with an overset grid for the shallow-water equations: Preliminary results. Zbl 1133.76037
2008
On hybrid multigrid-Schwarz algorithms. Zbl 1203.65072
Loisel, Sébastien; Nabben, Reinhard; Szyld, Daniel B.
2008
On simple arrangements of lines and pseudo-lines in $$\mathbb P^2$$ and $$\mathbb R^2$$ with the maximum number of triangles. Zbl 1156.52014
Bartholdi, Nicolas; Blanc, Jérémy; Loisel, Sébastien
2008
Comparison of the Dirichlet-Neumann and optimal Schwarz method on the sphere. Zbl 1066.65142
Côté, J.; Gander, M. J.; Laayouni, L.; Loisel, S.
2005
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### Cited by 167 Authors

 15 Gander, Martin Jakob 10 Loisel, Sébastien 4 Gigante, Giacomo 4 Il’in, Valeriĭ Pavlovich 4 Szyld, Daniel B. 4 Takane, Yoshio 4 Uhlig, Frank 4 Vergara, Christian 4 Vohralík, Martin 4 Wu, Shulin 4 Xu, Yingxiang 3 Ahmed, Elyes 3 Nguyen Trung Hieu 3 Papež, Jan 2 Al-Khaleel, Mohammad D. 2 Aldakheel, Fadi 2 Beh, Eric J. 2 Besse, Christophe 2 Chaouqui, Faycal 2 Ciaramella, Gabriele 2 Dolean, Victorita 2 Guddati, Murthy N. 2 Gur’eva, Ya. L. 2 Halpern, Laurence 2 Huang, Chengming 2 Japhet, Caroline 2 Jørgensen, Palle E. T. 2 Kern, Michel 2 Kwok, Felix 2 Lombardo, Rosaria 2 Miraçi, Ani 2 Noii, Nima 2 Pop, Iuliu Sorin 2 Pultarová, Ivana 2 Santugini-Repiquet, Kévin 2 Subber, Waad 2 Tian, Feng 2 Vanzan, Tommaso 2 Wick, Thomas 2 Wriggers, Peter 2 Xing, Feng 2 Zhang, Hui 1 Allix, Olivier 1 Antoine, Xavier 1 Aulisa, Eugenio 1 Auricchio, Ferdinando 1 Ausas, Roberto Federico 1 Badia, Santiago 1 Barrenechea, Gabriel R. 1 Berninger, Heiko 1 Berselli, Luigi Carlo 1 Bertoluzza, Silvia 1 Bespalov, Alexei 1 Blayo, Eric 1 Bogers, Jeroen 1 Bosy, Michał 1 Breit, Dominic 1 Budiša, Ana 1 Buscaglia, Gustavo Carlos 1 Capodaglio, Giacomo 1 Claeys, Xavier 1 Congedo, Pietro Marco 1 Dai, Zihuan 1 Darehmiraki, Majid 1 del Teso, Félix 1 Després, Bruno 1 Dubois, Olivier 1 Ellingsen, Simen A. 1 Engström, Emil 1 Fabien, Maurice S. 1 Frommer, Andreas 1 Fumagalli, Alessio 1 Galkowski, Jeffrey 1 Geuzaine, Christophe A. 1 Gordon, Dan 1 Gordon, Rachel 1 Greer, Neil 1 Gu, Yaguang 1 Guiraldello, Rafael T. 1 Guo, Guangbao 1 Haferssas, Ryadh 1 Hajian, Soheil 1 Hansen, Eskil 1 Hassan, Sarah Ali 1 Haynes, Ronald D. 1 Hofmanová, Martina 1 Horne, Roland N. 1 Hubert, Florence 1 Huo, Zhixin 1 Hwang, Heungsun 1 Jiang, Yaolin 1 Jin, Jianming 1 Jolivet, Pierre 1 Jung, Kwanghee 1 Karangelis, Anastasios 1 Ke, Guoyi 1 Keilegavlen, Eirik 1 Kemper, Yvonne 1 Khan, Jafar A. 1 Knepley, Matthew G. ...and 67 more Authors
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### Cited in 45 Serials

 14 SIAM Journal on Scientific Computing 8 Computer Methods in Applied Mechanics and Engineering 6 Numerische Mathematik 6 Journal of Scientific Computing 6 Numerical Algorithms 5 SIAM Journal on Numerical Analysis 4 Journal of Computational Physics 3 Vietnam Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 International Journal for Numerical Methods in Engineering 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Linear Algebra and its Applications 2 Journal of Mathematical Sciences (New York) 2 ETNA. Electronic Transactions on Numerical Analysis 2 Computational Methods in Applied Mathematics 2 Advances in Data Analysis and Classification. ADAC 2 SMAI Journal of Computational Mathematics 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Wave Motion 1 Mathematics of Computation 1 BIT 1 Calcolo 1 Quarterly of Applied Mathematics 1 European Journal of Combinatorics 1 Statistical Science 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Statistics 1 International Journal of Computer Mathematics 1 SIAM Review 1 Computational Statistics and Data Analysis 1 Opuscula Mathematica 1 Computational Geosciences 1 Central European Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Special Matrices 1 International Journal of Applied and Computational Mathematics 1 SN Partial Differential Equations and Applications 1 Water Waves
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### Cited in 29 Fields

 92 Numerical analysis (65-XX) 44 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 11 Mechanics of deformable solids (74-XX) 6 Statistics (62-XX) 5 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)