New Numerical Results for the Optimization of Neumann Eigenvalues

DOI10.1007/978-3-030-48186-5_1zbMath1448.65275OpenAlexW3038452180MaRDI QIDQ5115908

Daniel Abele, Andreas Kleefeld

Publication date: 21 August 2020

Published in: Computational and Analytic Methods in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-48186-5_1

zbMATH Keywords

Helmholtz equationshape optimizationnonlinear eigenvalue problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Numerical methods for eigenvalue problems in integral equations (65R15)

Related Items (2)

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Uses Software

• GSL
• Algorithm 644

Cites Work

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• An integral method for solving nonlinear eigenvalue problems
• Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians
• Maximization of the second positive Neumann eigenvalue for planar domains
• Shape Optimization for Interior Neumann and Transmission Eigenvalues
• Algorithm 644
• Wolf-Keller theorem for Neumann eigenvalues
• 11 Numerical results for extremal problem for eigenvalues of the Laplacian
• Inverse acoustic and electromagnetic scattering theory

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