An FFT-based fast gradient method for elastic and inelastic unit cell homogenization problems
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Publication:2308941
DOI10.1016/j.cma.2016.11.004zbMath1439.74505OpenAlexW2559051858MaRDI QIDQ2308941
Publication date: 6 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2016.11.004
Homogenization in equilibrium problems of solid mechanics (74Q05) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical and other methods in solid mechanics (74S99)
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Cites Work
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- Smooth minimization of non-smooth functions
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations
- Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites
- A comparative study on low-memory iterative solvers for FFT-based homogenization of periodic media
- Effective properties of elastic periodic composite media with fibers
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
- Morse theory on Hilbert manifolds
- A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
- Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials
- Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier-Galerkin method with exact integration
- NESTA: A Fast and Accurate First-Order Method for Sparse Recovery
- Direct Methods in the Theory of Elliptic Equations
- Some Superlinear Convergence Results for the Conjugate Gradient Method
- Inexact Newton Methods
- On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
- THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
- A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization
- An Algorithm for the Machine Calculation of Complex Fourier Series
- Structured Sparsity via Alternating Direction Methods
- Some methods of speeding up the convergence of iteration methods
- Methods of conjugate gradients for solving linear systems
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