Nicole Spillane
I have been a PhD student at Laboratoire Jacques Louis Lions in Paris since september 2010. My advisors are Frédéric Nataf (LJLL) and Patrice Hauret (Michelin). The topic of my research is domain decomposition for three dimensional elasticity. My first objective has been to build a coarse grid which can deal with high heterogeneities in the coefficients in the equations. This is a problem which arises when running simulations on objects made of rubber and steel. The purpose of my work is, throughout the next few years, to factor in some more difficulties which are encountered by Michelin all the while aiming for robustness and efficiency.
Contact
Mail:
Phone:
(from abroad : +33 1 44 27 27 21)
Mailing address:
Université Pierre et Marie Curie - Paris 6 (UPMC)
Boîte courrier 187
4, place Jussieu
75252 Paris, cedex 05, France
Resume
View my resume in PDF.
Publications
N. Spillane, V. Dolean, P.Hauret, F. Nataf, C. Pechstein and R. Scheichl.
Abstract Robust Coarse Spaces for Systems of PDEs via Gereralized Eigenproblems in the Overlap.
Submitted, 2011
N. Spillane, V. Dolean, P.Hauret, F. Nataf, C. Pechstein and R. Scheichl.
A robust two-level domain decomposition preconditioner for systems of PDEs.
Comptes Rendus Mathematique, In Press, Corrected Proof, 2011
V. Dolean, F. Nataf, R. Scheichl, and N. Spillane.
Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet–to–Neumann maps.
Submitted, 2011.
F. Nataf, H. Xiang, V. Dolean, and N. Spillane.
A coarse space construction based on local Dirichlet to Neumann maps.
SIAM J. on Scientific Computing, 33:1623–1642, 2011.
Talks
June 28th 2011
Journée interne du LJLL:
A robust coarse grid for the Darcy equation with jumps in the coefficient.
May 3rd 2011
Presentation of my first results at the LJLL PhD student seminar:
Coarse grid correction for domain decomposition methods for scalar problems with high heterogeneities.
October 19th 2010
Presentation of my master thesis work at the LRC MANON seminar:
Numerical methods for Baer nunziato type two phase flows. (slides - in french)
LJLL PhD student seminar
I am also in charge of the PhD student seminar ( Groupe de travail des thésards ) at laboratoire Jacques Louis Lions with Jean-Paul Daniel.
