Efficient rearrangement algorithms for shape optimization on elliptic eigenvalue problems
type: Item
instance of: scholarly article
title: Efficient rearrangement algorithms for shape optimization on elliptic eigenvalue problems
zbMATH Open document ID: 1263.65107
author: Chiu-Yen Kao
author: Shu Su
published in: Journal of Scientific Computing
publication date: 2013-04-08T00:00:00Z
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 6151366
zbMATH Keywords: minimal eigenvalue
zbMATH Keywords: maximal eigenvalue
zbMATH Keywords: maximal ratio of eigenvalues
zbMATH Keywords: elliptic operator
zbMATH Keywords: shape optimization
zbMATH Keywords: rearrangement algorithm
zbMATH Keywords: Rayleigh quotient
zbMATH Keywords: elliptic eigenvalue problems
zbMATH Keywords: vibrating membranes
zbMATH Keywords: numerical examples
describes a project that uses: WinGULF
MaRDI profile type: Publication
full work available at URL: s10915-012-9629-0
OpenAlex ID: W1986044496
cites work: Shape optimization by the homogenization method
cites work: A new algorithm for topology optimization using a level-set method
cites work: Linear-fractional programming. Theory, methods, applications and software.
cites work: A level set method for inverse problems
cites work: Incorporating topological derivatives into level set methods.
cites work: The two phase drum with the deepest bass note
cites work: Extremal eigenvalue problems for composite membranes. I
cites work: The generalized gradient at a multiple eigenvalue
cites work: A multilevel, level-set method for optimizing eigenvalues in shape design problems
cites work: Incorporating topological derivatives into shape derivatives based level set methods
cites work: Q5481205
cites work: Level-set function approach to an inverse interface problem
cites work: Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
cites work: Maximization of the quality factor of an optical resonator
cites work: On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
cites work: Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Q5838364
cites work: Structural boundary design via level set and immersed interface methods
cites work: Q3948198
cites work: Variational piecewise constant level set methods for shape optimization of a two-density drum
DOI: 10.1007/S10915-012-9629-0
description: scientific article; zbMATH DE number 6151366