Eigenvalue topology optimization via efficient multilevel solution of the frequency response

Frequency response as a surrogate eigenvalue problem in topology optimization

(2017) Erik Andreassen et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Giga-voxel computational morphogenesis for structural design

(2017) Niels Aage et al.   NATURE

Topology optimization of freely vibrating continuum structures based on nonsmooth optimization

(2017) Pingzhang Zhou et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Algebraic multigrid methods

(2017) Jinchao Xu et al.   ACTA NUMERICA

Structural optimization considering smallest magnitude eigenvalues: a smooth approximation

(2016) André J. Torii et al.   Journal of the Brazilian Society of Mechanical Sciences and Engineering

Generalized incremental frequency method for topological designof continuum structures for minimum dynamic compliance subject to forced vibration at a prescribed low or high value of the excitation frequency

(2016) Niels Olhoff et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

On the (non-)optimality of Michell structures

(2016) Ole Sigmund et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

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

(2015) Joe Alexandersen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

(2014) Carlos H. Villanueva et al.   COMPUTATIONAL MECHANICS

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

(2014) Ivana Šebestová et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework

(2014) Niels Aage et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Topology optimization approaches

(2013) Ole Sigmund et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

On multigrid-CG for efficient topology optimization

(2013) Oded Amir et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

On the sensitivities of multiple eigenvalues

(2011) Jens Gravesen et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

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

(2010) Yalchin Efendiev et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Inexact inverse subspace iteration for generalized eigenvalue problems

(2010) Qiang Ye et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

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

(2010) S. Sauter   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

(2010) Oded Amir et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Efficient topology optimization in MATLAB using 88 lines of code

(2010) Erik Andreassen et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

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

(2009) Mickaël Robbé et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Efficient use of iterative solvers in nested topology optimization

(2009) Oded Amir et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Approximate reanalysis in topology optimization

(2008) Oded Amir et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING