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Personal profile

Research interests

My main area of research is domain decomposition methods for solving large-scale problems in massively parallel environments.

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Lagrange multiplier Method Mathematics
Lagrange multipliers Engineering & Materials Science
Domain Decomposition Method Mathematics
Preconditioner Mathematics
Domain decomposition methods Engineering & Materials Science
Condition number Mathematics
GMRES Mathematics
Elliptic PDE Mathematics

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Research Output 2008 2018

principal component analysis
comparison
method
rate

An optimal Schwarz preconditioner for a class of parallel adaptive finite elements

Loisel, S. & Nguyen, H., Sep 2017, In : Journal of Computational and Applied Mathematics. 321, p. 90–107 18 p.

Research output: Contribution to journalArticle

Open Access
File
Adaptive Finite Elements
Preconditioner
Mesh
Smallest Eigenvalue
Largest Eigenvalue

A comparison of additive schwarz preconditioners for parallel adaptive finite elements

Loisel, S. & Nguyen, T. H., 2016, Domain Decomposition Methods in Science and Engineering XXII. Springer International Publishing, p. 345-354 10 p. (Lecture Notes in Computational Science and Engineering; vol. 104)

Research output: Chapter in Book/Report/Conference proceedingConference contribution

On the PLS algorithm for multiple regression (PLS1)

Takane, Y. & Loisel, S., 16 Oct 2016, The Multiple Facets of Partial Least Squares and Related Methods. Springer, p. 17-28 12 p. (Springer Proceedings in Mathematics & Statistics; vol. 173)

Research output: Chapter in Book/Report/Conference proceedingChapter

Partial Least Squares
Least Square Algorithm
Multiple Regression
Least Squares Estimator
Dimensionality

Schwarz preconditioner for the stochastic finite element method

Subber, W. & Loisel, S., 2016, Domain Decomposition Methods in Science and Engineering XXII. Springer, p. 397-405 9 p. (Lecture Notes in Computational Science and Engineering; vol. 104)

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Stochastic Finite Element
Polynomial Chaos
Stochastic Methods
Chaos theory
Preconditioner