Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media

DOI10.1007/S13160-015-0177-5zbMath1323.35187arXiv1408.5370OpenAlexW2962908580MaRDI QIDQ495856

Hisashi Naito, Kaname Matsue

Publication date: 15 September 2015

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5370

zbMATH Keywords

eigenvalue problemtopology optimizationdependence of optimizers on topology

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) PDEs in connection with control and optimization (35Q93)

Related Items (2)

Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions ⋮ Minimization of the P-Laplacian first eigenvalue for a two-phase material

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
• Extremal eigenvalue problems for composite membranes. I
• Extremal eigenvalue problems for composite membranes. II
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients
• Extremal eigenvalue problems for two-phase conductors
• Minimization of the Ground State for Two Phase Conductors in Low Contrast Regime
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• Viscosity Solutions of Hamilton-Jacobi Equations
• New development in freefem++
• Shape derivative for a two-phase eigenvalue problem and optimal configurations in a ball
• Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum

This page was built for publication: Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media