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2011 Approximation of Partitions of Least Perimeter by Γ-Convergence: Around Kelvin’s Conjecture
Édouard Oudet
Experiment. Math. 20(3): 260-270 (2011).

Abstract

A numerical process to approximate optimal partitions in any dimension is reported. The key idea of the method is to relax the problem into a functional framework based on the famous result of Γ-convergence obtained by Modica and Mortolla.

Citation

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Édouard Oudet. "Approximation of Partitions of Least Perimeter by Γ-Convergence: Around Kelvin’s Conjecture." Experiment. Math. 20 (3) 260 - 270, 2011.

Information

Published: 2011
First available in Project Euclid: 6 October 2011

zbMATH: 1261.49009
MathSciNet: MR2836251

Subjects:
Primary: 49Q15 , 53A10 , 65K10

Keywords: foams , Kelvin’s conjecture , optimal tiling , Γ-convergence

Rights: Copyright © 2011 A K Peters, Ltd.

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Vol.20 • No. 3 • 2011
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