Optimization of spectral functions of Dirichlet-Laplacian eigenvalues

DOI10.1016/j.jcp.2010.07.040zbMath1201.65203OpenAlexW2021974250MaRDI QIDQ602959

Braxton Osting

Publication date: 5 November 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.07.040

zbMATH Keywords

numerical examplesspectral functionshape optimizationLaplacian eigenvaluesquasi-Newton methodPayne-Pólya-Weinberger inequality

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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