Eigenvalue topology optimization via efficient multilevel solution of the frequency response
type: Item
instance of: scholarly article
title: Eigenvalue topology optimization via efficient multilevel solution of the frequency response
zbMATH Open document ID: 1548.74537
author: Federico Ferrari
author: B. S. Lazarov
author: Ole Sigmund
published in: International Journal for Numerical Methods in Engineering
publication date: 2024-06-14T00:00:00Z
Mathematics Subject Classification ID: 74P15
Mathematics Subject Classification ID: 49Q12
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 90C47
zbMATH DE Number: 7865076
zbMATH Keywords: eigenvalue optimization
zbMATH Keywords: fast solvers
zbMATH Keywords: large-scale problems
zbMATH Keywords: topology optimization
zbMATH Keywords: vibrations
MaRDI profile type: Publication
cites work: Q4449265
cites work: Solutions to shape and topology eigenvalue optimization problems using a homogenization method
cites work: Topological design for vibrating structures
cites work: Structural optimization with frequency constraints - A review
cites work: Q4133280
cites work: Vibration control of active structures. An introduction
cites work: On eigenvalues of matrices dependent on a parameter
cites work: Systematic occurrence of repeated eigenvalues in structural optimization
cites work: On the maximization of the fundamental eigenvalue in topology optimization
cites work: Smooth convex approximation to the maximum eigenvalue function
cites work: On the sensitivities of multiple eigenvalues
cites work: Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints
cites work: Reanalysis of structures. A unified approach for linear, nonlinear, static and dynamic systems
cites work: Procedures for approximate eigenproblem reanalysis of structures
cites work: Approximate reanalysis in topology optimization
cites work: Topology optimization for free vibrations using combined approximations
cites work: Frequency response as a surrogate eigenvalue problem in topology optimization
cites work: Q3727300
cites work: Material interpolation schemes in topology optimization
cites work: Q4486034
cites work: A Multigrid Tutorial, Second Edition
cites work: Two-Sided Bounds for Eigenvalues of Differential Operators with Applications to Friedrichs, Poincaré, Trace, and Similar Constants
cites work: Large-scale topology optimization using preconditioned Krylov subspace methods with recycling
cites work: Efficient use of iterative solvers in nested topology optimization
cites work: On reducing computational effort in topology optimization: how far can we go?
cites work: Q4039860
cites work: Computing an Eigenvector with Inverse Iteration
cites work: Inexact inverse iteration for generalized eigenvalue problems
cites work: The effects of inexact solvers in algorithms for symmetric eigenvalue problems
cites work: Inexact inverse iteration for symmetric matrices
cites work: Preconditioning the Lanczos Algorithm for Sparse Symmetric Eigenvalue Problems
cites work: Convergence of inexact inverse iteration with application to preconditioned iterative solvers
cites work: A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems
cites work: A geometric theory for preconditioned inverse iteration. I: Extrema of Rayleigh quotient
cites work: A geometric theory for preconditioned inverse iteration. II: Convergence estimates
cites work: Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices
cites work: Inexact Inverse Subspace Iteration with Preconditioning Applied to Non-Hermitian Eigenvalue Problems
cites work: Inexact inverse subspace iteration for generalized eigenvalue problems
cites work: The block conjugate gradient algorithm and related methods
cites work: A block conjugate gradient method applied to linear systems with multiple right-hand sides
cites work: FEM for elliptic eigenvalue problems: how coarse can the coarsest mesh be chosen? An experimental study
cites work: $hp$-Finite Elements for Elliptic Eigenvalue Problems: Error Estimates Which Are Explicit with Respect to $\lambda$, h, and p
cites work: Filters in topology optimization
cites work: Topology optimization of nonlinear elastic structures and compliant mechanisms
cites work: The method of moving asymptotes—a new method for structural optimization
cites work: Efficient topology optimization in MATLAB using 88 lines of code
cites work: Topology optimization of resonating structures using SIMP method
cites work: Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps
cites work: Q4151786
cites work: Density and level set-XFEM schemes for topology optimization of 3-D structures
cites work: Algebraic multigrid methods
cites work: Multiscale finite element methods for high-contrast problems using local spectral basis functions
cites work: Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner
DOI: 10.1002/NME.5829
description: scientific article; zbMATH DE number 7865076