An engineering interpretation of Nesterov's convex minimization algorithm and time integration: application to optimal fiber orientation
DOI10.1007/s00466-021-02027-zzbMath1480.74250OpenAlexW3161527369WikidataQ113326700 ScholiaQ113326700MaRDI QIDQ2666090
Timon Rabczuk, Pedro M. A. Areias
Publication date: 22 November 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-021-02027-z
first-order optimizationNesterov minimization algorithmNewmark time-integration finite element codeoptimal fiber orientation
Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Optimization of other properties in solid mechanics (74P10)
Uses Software
Cites Work
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- Introductory lectures on convex optimization. A basic course.
- Modified two-point stepsize gradient methods for unconstrained optimization
- Alternating minimization as sequential unconstrained minimization: a survey
- Efficient first-order methods for convex minimization: a constructive approach
- An FFT-based fast gradient method for elastic and inelastic unit cell homogenization problems
- Nesterov-aided stochastic gradient methods using Laplace approximation for Bayesian design optimization
- Adaptive restart for accelerated gradient schemes
- Adjoint method in the sensitivity analysis of optimal systems
- A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
- Discrete material optimization of general composite shell structures
- Two-Point Step Size Gradient Methods
- Testing Unconstrained Optimization Software
- Global Convergence Properties of Conjugate Gradient Methods for Optimization
- Some methods of speeding up the convergence of iteration methods
- Methods of conjugate gradients for solving linear systems
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