Eigenvalue topology optimization via efficient multilevel solution of the frequency response (Q6555241)

scientific article; zbMATH DE number 7865076

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English	Eigenvalue topology optimization via efficient multilevel solution of the frequency response	scientific article; zbMATH DE number 7865076

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instance of

scholarly article

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title

Eigenvalue topology optimization via efficient multilevel solution of the frequency response (English)

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International Journal for Numerical Methods in Engineering

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publication date

14 June 2024

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zbMATH Keywords

eigenvalue optimization

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fast solvers

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large-scale problems

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topology optimization

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vibrations

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Solutions to shape and topology eigenvalue optimization problems using a homogenization method

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Topological design for vibrating structures

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Structural optimization with frequency constraints - A review

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Q4133280

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Vibration control of active structures. An introduction

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On eigenvalues of matrices dependent on a parameter

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Systematic occurrence of repeated eigenvalues in structural optimization

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On the maximization of the fundamental eigenvalue in topology optimization

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Smooth convex approximation to the maximum eigenvalue function

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On the sensitivities of multiple eigenvalues

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Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints

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Reanalysis of structures. A unified approach for linear, nonlinear, static and dynamic systems

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Procedures for approximate eigenproblem reanalysis of structures

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Approximate reanalysis in topology optimization

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Topology optimization for free vibrations using combined approximations

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Frequency response as a surrogate eigenvalue problem in topology optimization

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Q3727300

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Material interpolation schemes in topology optimization

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Q4486034

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A Multigrid Tutorial, Second Edition

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Two-Sided Bounds for Eigenvalues of Differential Operators with Applications to Friedrichs, Poincaré, Trace, and Similar Constants

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Large-scale topology optimization using preconditioned Krylov subspace methods with recycling

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Efficient use of iterative solvers in nested topology optimization

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On reducing computational effort in topology optimization: how far can we go?

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Q4039860

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Computing an Eigenvector with Inverse Iteration

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Inexact inverse iteration for generalized eigenvalue problems

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The effects of inexact solvers in algorithms for symmetric eigenvalue problems

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Inexact inverse iteration for symmetric matrices

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Preconditioning the Lanczos Algorithm for Sparse Symmetric Eigenvalue Problems

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Convergence of inexact inverse iteration with application to preconditioned iterative solvers

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A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems

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A geometric theory for preconditioned inverse iteration. I: Extrema of Rayleigh quotient

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A geometric theory for preconditioned inverse iteration. II: Convergence estimates

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Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices

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Inexact Inverse Subspace Iteration with Preconditioning Applied to Non-Hermitian Eigenvalue Problems

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Inexact inverse subspace iteration for generalized eigenvalue problems

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The block conjugate gradient algorithm and related methods

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A block conjugate gradient method applied to linear systems with multiple right-hand sides

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FEM for elliptic eigenvalue problems: how coarse can the coarsest mesh be chosen? An experimental study

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$hp$-Finite Elements for Elliptic Eigenvalue Problems: Error Estimates Which Are Explicit with Respect to $\lambda$, <i>h</i>, and <i>p</i>

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Filters in topology optimization

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Topology optimization of nonlinear elastic structures and compliant mechanisms

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The method of moving asymptotes—a new method for structural optimization

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Efficient topology optimization in MATLAB using 88 lines of code

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Topology optimization of resonating structures using SIMP method

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Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps

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Q4151786

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Density and level set-XFEM schemes for topology optimization of 3-D structures

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Algebraic multigrid methods

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Multiscale finite element methods for high-contrast problems using local spectral basis functions

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Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner

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Identifiers

zbMATH Open document ID

1548.74537

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6555241