Minimal Convex Combinations of Sequential Laplace--Dirichlet Eigenvalues

DOI10.1137/120881865zbMath1273.35196OpenAlexW4252004942MaRDI QIDQ2847743

Chiu-Yen Kao, Braxton Osting

Publication date: 11 September 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120881865

zbMATH Keywords

Dirichlet boundary conditionshape optimizationisoperimetric problemsLaplacian eigenvalueslevel set methods

Mathematics Subject Classification ID

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)

Related Items (12)

Optimisation of eigenvalues of the Dirichlet Laplacian with a surface area restriction ⋮ The method of fundamental solutions applied to boundary eigenvalue problems ⋮ Computational Methods for Extremal Steklov Problems ⋮ Maximization of Laplace−Beltrami eigenvalues on closed Riemannian surfaces ⋮ Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives ⋮ Minimal convex combinations of three sequential Laplace-Dirichlet eigenvalues ⋮ Maximal convex combinations of sequential Steklov eigenvalues ⋮ Extremal p -Laplacian eigenvalues ⋮ Steklov eigenvalues of reflection-symmetric nearly circular planar domains ⋮ Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems ⋮ On accuracy of approximate boundary and distributed \(H^1\) shape gradient flows for eigenvalue optimization ⋮ Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries

Uses Software

• ARPACK

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