Numerical simulations for nodal domains and spectral minimal partitions
ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 1, pp. 221-246.

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about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones.

DOI : 10.1051/cocv:2008074
Classification : 35P05, 65N25, 65N30, 49Q10
Mots-clés : eigenmodes of Laplace operator, minimal partitions, nodal domains, finite element method 
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Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory. Numerical simulations for nodal domains and spectral minimal partitions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 1, pp. 221-246. doi : 10.1051/cocv:2008074. http://www.numdam.org/articles/10.1051/cocv:2008074/

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