A way of updating the density function for the design of the drum

DOI10.1016/j.camwa.2013.04.012zbMath1391.74203OpenAlexW1977513387MaRDI QIDQ2629506

Xiangyin Kong, Zhengda Huang

Publication date: 6 July 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.04.012

zbMATH Keywords

eigenvaluefinite element methodshape optimizationGâteaux derivative

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10) 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 (1)

Extremal principal eigenvalue of the bi-Laplacian operator

Cites Work

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• Nonlinear total variation based noise removal algorithms
• Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum
• Extremal eigenvalue problems for composite membranes. I
• Variational piecewise constant level set methods for shape optimization of a two-density drum
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Generating optimal topologies in structural design using a homogenization method
• The two phase drum with the deepest bass note
• The mathematics of eigenvalue optimization
• Incorporating topological derivatives into level set methods.
• Structural optimization using sensitivity analysis and a level-set method.
• Structural boundary design via level set and immersed interface methods
• A level-set method for shape optimization.
• A multilevel, level-set method for optimizing eigenvalues in shape design problems
• The generalized gradient at a multiple eigenvalue
• A variational level set approach to multiphase motion
• Incorporating topological derivatives into shape derivatives based level set methods
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• A binary level set model and some applications to Mumford-Shah image segmentation
• Large-Scale Optimization of Eigenvalues
• Where Best to Hold a Drum Fast
• On Eigenvalue Optimization
• A Monotonic Algorithm for Eigenvalue Optimization in Shape Design Problems of Multi-density Inhomogeneous Materials
• Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials
• A variant of the level set method and applications to image segmentation
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
• Shape optimization by the homogenization method

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