Numerical optimization of eigenvalues of the Dirichlet-Laplace operator on domains in surfaces

DOI10.1515/CMAM-2014-0009zbMATH Open1297.65140OpenAlexW2072801775MaRDI QIDQ400756

Régis Straubhaar

Publication date: 25 August 2014

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2014-0009

zbMATH Keywords

finite element methodeigenvaluesshape optimizationUzawa algorithmspectral geometrynumerical approximationsnumerical resultDirichlet-Laplace operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

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Uses Software

• ARPACK

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