Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials

DOI10.1080/00207160903365891zbMath1211.65150OpenAlexW2062453246MaRDI QIDQ5391475

Xiao-liang Cheng, Kewei Liang, Zheng-Fang Zhang

Publication date: 6 April 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160903365891

zbMATH Keywords

numerical examplesfinite elementgreedy algorithmsshape designeigenvalue optimization problems

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (3)

A way of updating the density function for the design of the drum ⋮ Shape design sensitivity and optimization of anisotropic functionally graded smart structures using bicubic B-splines DRBEM ⋮ A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Greedy \(T\)-colorings of graphs
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Topology optimization in structural mechanics
• A multilevel, level-set method for optimizing eigenvalues in shape design problems
• A variational level set approach to multiphase motion
• A greedy algorithm for maximizing a linear objective function
• Large-Scale Optimization of Eigenvalues
• On Eigenvalue Optimization
• Eigenfrequency optimization in optimal design
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum

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