Numerical simulations for nodal domains and spectral minimal partitions

Virginie Bonnaillie-Noël; Bernard Helffer; Gregory Vial

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 16, Issue: 1, page 221-246
  • ISSN: 1292-8119

Abstract

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about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones.

How to cite

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Bonnaillie-Noël, Virginie, Helffer, Bernard, and Vial, Gregory. "Numerical simulations for nodal domains and spectral minimal partitions." ESAIM: Control, Optimisation and Calculus of Variations 16.1 (2010): 221-246. <http://eudml.org/doc/250698>.

@article{Bonnaillie2010,
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about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones. },
author = {Bonnaillie-Noël, Virginie, Helffer, Bernard, Vial, Gregory},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Eigenmodes of Laplace operator; minimal partitions; nodal domains; finite element method; eigenmodes of Laplace operator},
language = {eng},
month = {1},
number = {1},
pages = {221-246},
publisher = {EDP Sciences},
title = {Numerical simulations for nodal domains and spectral minimal partitions},
url = {http://eudml.org/doc/250698},
volume = {16},
year = {2010},
}

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
DA - 2010/1//
PB - EDP Sciences
VL - 16
IS - 1
SP - 221
EP - 246
AB - 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about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones.
LA - eng
KW - Eigenmodes of Laplace operator; minimal partitions; nodal domains; finite element method; eigenmodes of Laplace operator
UR - http://eudml.org/doc/250698
ER -

References

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