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OPTIMAL PARTITIONS FOR EIGENVALUES
DOI:10.1137/090747087.png)
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
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
引用论文
Geobarometers involving clinopyroxene, garnet, plagioclase, ilmenite, rutile, sphene and quartz: estimation of pressure in quartz-absent assemblages涉及斜辉石,石榴石,斜长石,钛铁矿,金红石,sphene和石英的地球压力计: 石英不存在的组合物中的压力估计
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