Research Output per year

## Personal profile

### Research interests

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

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Lagrange multipliers
Engineering & Materials Science

Domain decomposition methods
Engineering & Materials Science

Lagrange multiplier method
Mathematics

Finite element method
Engineering & Materials Science

Preconditioner
Mathematics

Linear systems
Engineering & Materials Science

GMRES
Mathematics

Domain decomposition method
Mathematics

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Co Author Network
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## Research Output 2008 2017

## 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 journal › Article

Preconditioner

eigenvalue

Conjugate gradient method

Adaptive finite elements

Mesh

## 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 proceeding › Conference contribution

## 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 proceeding › Conference contribution

Chaos theory

Polynomials

Finite element method

Linear systems

Supercomputers

## Condition number estimates and weak scaling for 2-level 2-lagrange multiplier methods for general domains and cross points

Karangelis, A. & Loisel, S. 2015 In : SIAM Journal on Scientific Computing. 37, 2, p. C247-C267 21 p.Research output: Contribution to journal › Article

Open Access

File

Lagrange multipliers

Domain decomposition methods

Supercomputers

Partial differential equations

Experiments

## Optimized Schwarz and 2-Lagrange Multiplier Methods for Multiscale Elliptic PDEs

Loisel, S., Nguyen, T. H. & Scheichl, R. 2015 In : SIAM Journal on Scientific Computing. 37, 6, p. A2896–A2923 28 p.Research output: Contribution to journal › Article

Open Access

File

Preconditioner

Lagrange multipliers

matrix

Lagrange multiplier method

Experiments