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Numerical simulations for nodal domains and spectral minimal partitions

Published online by Cambridge University Press:  19 December 2008

Virginie Bonnaillie-Noël ,
Bernard Helffer  and
Gregory Vial
Virginie Bonnaillie-Noël
Affiliation:
IRMAR, ENS Cachan Bretagne, CNRS, UEB, avenue Robert Schuman, 35170 Bruz, France. Virginie.Bonnaillie@bretagne.ens-cachan.fr; Gregory.Vial@bretagne.ens-cachan.fr
Bernard Helffer
Affiliation:
Laboratoire de Mathématiques, Bâtiment 425, Université Paris-Sud et CNRS, 91405 Orsay Cedex, France. Bernard.Helffer@math.u-psud.fr
Gregory Vial
Affiliation:
IRMAR, ENS Cachan Bretagne, CNRS, UEB, avenue Robert Schuman, 35170 Bruz, France. Virginie.Bonnaillie@bretagne.ens-cachan.fr; Gregory.Vial@bretagne.ens-cachan.fr
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Abstract

We recall here some theoretical results of Helffer et al. [Ann. Inst. H. Poincaré Anal. Non Linéaire (2007) doi:10.1016/j.anihpc.2007.07.004] about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones.

Keywords

Eigenmodes of Laplace operatorminimal partitionsnodal domainsfinite element method
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 1 , January 2010 , pp. 221 - 246
Copyright
© EDP Sciences, SMAI, 2008

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