Issue |
ESAIM: COCV
Volume 16, Number 1, January-March 2010
|
|
---|---|---|
Page(s) | 221 - 246 | |
DOI | https://doi.org/10.1051/cocv:2008074 | |
Published online | 19 December 2008 |
Numerical simulations for nodal domains and spectral minimal partitions
1
IRMAR, ENS Cachan Bretagne, CNRS, UEB,
avenue Robert Schuman, 35170 Bruz, France. Virginie.Bonnaillie@bretagne.ens-cachan.fr; Gregory.Vial@bretagne.ens-cachan.fr
2
Laboratoire de Mathématiques, Bâtiment 425,
Université Paris-Sud et CNRS, 91405 Orsay Cedex, France. Bernard.Helffer@math.u-psud.fr
Received:
14
September
2007
Revised:
19
May
2008
Revised:
22
September
2008
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about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones.
Mathematics Subject Classification: 35P05 / 65N25 / 65N30 / 49Q10
Key words: Eigenmodes of Laplace operator / minimal partitions / nodal domains / finite element method
© EDP Sciences, SMAI, 2008
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