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OPTIMAL PARTITIONS FOR EIGENVALUES

delete2010-01-01
delete41
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OA
AI
B
Blaise Bourdin *
D
Dorin Bucur
É
Édouard Oudet
DOI:10.1137/090747087delete
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摘要

摘要

En 中文
We introduce a new numerical method for approximating partitions of a domain minimizing the sum of Dirichlet-Laplacian eigenvalues of any order. First we prove the equivalence of the original problem and a relaxed formulation based on measures. Using this result, we build a numerical algorithm to approximate optimal configurations. We describe numerical experiments aimed at studying the asymptotic behavior of optimal partitions with large numbers of cells.
Keyword:
gamma-convergence
shape analysis

期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

机构

L
louisiana state university system
学者数:
2.3W
论文数: 2.0W
被引数: 15
L
Louisiana State University
学者数:
9.8K
论文数: 8.0K
被引数: 1.6W
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