Maximization of the Steklov Eigenvalues With a Diameter Constraint

DOI10.1137/20M1335042zbMath1457.49028arXiv2004.14142OpenAlexW3121861552MaRDI QIDQ5150317

Florent Nacry, Beniamin Bogosel, Abdel Kader Al Sayed, Antoine Henrot

Publication date: 15 February 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14142

zbMATH Keywords

shape optimizationspectral geometrySteklov eigenvalues

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)

Related Items (3)

Tubular excision and Steklov eigenvalues ⋮ A new numerical approach for solving shape optimization fourth-order spectral problems among convex domains ⋮ Some recent developments on the Steklov eigenvalue problem

Uses Software

• FreeFem++
• Ipopt

Cites Work

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• New development in freefem++
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