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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about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones.
@article{COCV_2010__16_1_221_0,
author = {Bonnaillie-No\"el, Virginie and Helffer, Bernard and Vial, Gregory},
title = {Numerical simulations for nodal domains and spectral minimal partitions},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {221--246},
publisher = {EDP-Sciences},
volume = {16},
number = {1},
year = {2010},
doi = {10.1051/cocv:2008074},
mrnumber = {2598097},
zbl = {1191.35189},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008074/}
}
TY - JOUR AU - Bonnaillie-Noël, Virginie AU - Helffer, Bernard AU - Vial, Gregory TI - Numerical simulations for nodal domains and spectral minimal partitions JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2010 SP - 221 EP - 246 VL - 16 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008074/ DO - 10.1051/cocv:2008074 LA - en ID - COCV_2010__16_1_221_0 ER -
%0 Journal Article %A Bonnaillie-Noël, Virginie %A Helffer, Bernard %A Vial, Gregory %T Numerical simulations for nodal domains and spectral minimal partitions %J ESAIM: Control, Optimisation and Calculus of Variations %D 2010 %P 221-246 %V 16 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008074/ %R 10.1051/cocv:2008074 %G en %F COCV_2010__16_1_221_0
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
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