dufaud.bib
@article{bere12a,
author = {Berenguer, L. and Dufaud, T. and Tromeur-Dervout, D.},
title = {Aitken's acceleration of the Schwarz process using singular value
decomposition for heterogeneous 3D groundwater flow problems},
journal = {Computers and Fluids},
year = {2012},
abstract = {This paper is devoted to the acceleration by Aitken’s technique of
the convergence of the Schwarz domain decomposition method applied
to large scale 3D problems with non-separable linear operators. These
operators come from the discretization of groundwater flow problems
modeled by the linear Darcy equation, where the permeability field
is highly heterogeneous and randomly generated. To be computationally
efficient, a low-rank approximation of the Aitken’s formula is computed
from the singular value decomposition of successive iterated solutions
on subdomains interfaces. Numerical results explore the efficiency
of the solver with respect to the random distribution parameters,
and specific implementations of the acceleration are compared for
large scale 3D problems. These results confirm the numerical behavior
of the methodology obtained on 2D Darcy problems (Tromeur-Dervout
D. Meshfree adaptive Aitken-Schwarz domain decomposition with application
to Darcy flow. Comput Sci Eng Technol 2009;21:217–50).},
doi = {10.1016/j.compfluid.2012.01.026},
x-editorial-board = {yes},
x-international-audience = {yes}
}
@article{dufa12a,
author = {Dufaud, T. and Tromeur-Dervout, D.},
title = {Efficient parallel implementation of the fully algebraic multiplicative
Aitken-RAS preconditioning technique},
journal = {Advances in Engineering Software},
year = {2012},
volume = {53},
pages = {33-44},
abstract = {This paper details the software implementation of the ARAS preconditioning
technique (Dufaud T, Tromeur-Dervout D. Aitken's acceleration of
the Restricted Additive Schwarz preconditioning using coarse approximations
on the interface. CR Math Acad Sci Paris 2010;348(13-14):821-4),
in the PETSc framework. Especially, the PETSc implementation of interface
operators involved in ARAS and the introduction of a two level of
parallelism in PETSc for the RAS are described. The numerical and
parallel implementation performances are studied on academic and
industrial problems, and compared with the RAS preconditioning. For
saving computational time on industrial problems, the Aitken's acceleration
operator is approximated from the singular values decomposition technique
of the RAS iterate solutions.},
doi = {10.1016/j.advengsoft.2012.07.005},
x-editorial-board = {yes},
x-international-audience = {yes}
}
@inproceedings{dufaud12d,
author = {Dufaud, T. and Tromeur-Dervout, D.},
title = {ARAS2 preconditioning technique for CFD industrial cases},
booktitle = {Proceedings of international conference on domain decomposition (DD20)},
year = {2012},
series = {LNCSE},
publisher = {Springer},
abstract = {A two-level preconditioning technique based on the Aitken’s acceleration
of the convergence of the Restricted Additive Schwarz (RAS) domain decomposition
method is derived. When it is applied to linear problems, the RAS has a pure
linear rate of convergence/divergence that can be enhanced with optimized
boundary conditions giving the ORAS method based on the underlying PDE. The RAS
method’s linear convergence allows its acceleration of the convergence by the
Aitken’s process. In this new two level algebraic preconditioner technique named
ARAS2, the coarse grid operator uses only parts of the artificial interfaces
contrary to the patch substructuring method. In this way, it can be seen as similar
as the SchurRAS method but it differs because the discrete Steklov-Poincar operator
connects the coarse artificial interfaces of all the subdomains. Numerical results
of the good properties of the ARAS2 preconditioning are provided on industrial
problems with no knowledge of the underlying equations.},
x-international-audience = {yes},
x-proceedings = {yes}
}
@inproceedings{pareng2011,
author = {Dufaud, T. and Tromeur-Dervout, D.},
title = {Numerical Investigations and Parallel Implementation of the ARAS2 Preconditioning Technique},
booktitle = {95 Proceedings of the second international conference on parallel, distributed, grid and cloud computing for engineering},
pages = {},
year = {2011},
editor = { P. Ivanyi and B.H.V. Topping }
}
@inproceedings{parco2011,
author = {Berenguer, L. and Dufaud, T. and Pham, T. and Tromeur-Dervout, D.},
title = {On-the-fly Singular Value Decomposition for Aitken's Acceleration of the Schwarz Domain Decomposition Method},
booktitle = {Applications, Tools and Techniques on the Road to Exascale ComputingProc.},
year = {2012},
series = {Advances in Parallel Computing},
volume = {22},
editor = { De Bosschere, Koen and D'Hollander, Erik H. and Joubert, Gerhard R. and Padua, David and Peters, Frans and Sawyer, Mark},
x-international-audience = {yes},
x-proceedings = {yes}
}
@article{ARASCras,
author = {Dufaud, T. and Tromeur-Dervout, D.},
title = {Aitken's acceleration of the restricted additive {S}chwarz
preconditioning using coarse approximations on the interface},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
volume = {348},
year = {2010},
number = {13-14},
pages = {821--824},
issn = {1631-073X},
mrclass = {65F08 (65B05)},
mrnumber = {2671168},
doi = {10.1016/j.crma.2010.06.021},
url = {http://dx.doi.org/10.1016/j.crma.2010.06.021}
}
@inproceedings{dufaud-parcfd09,
author = {Dufaud, T. and Tromeur-Dervout, D.},
title = {Adaptive Aitken-Schwarz Method for Non Separable Operator on Multiprocessor Systems},
booktitle = {Parallel Computational Fluid Dynamics Recent Advances \& Future Directions},
pages = {297--305},
year = {2010},
editor = {Rupak Biswas and NASA Ames Research Center, NASA Advanced Supercomputing Division},
publisher = {DEStech Publications}
}