An operator splitting algorithm for Tikhonov-regularized topology optimization
From MaRDI portal
Publication:465842
DOI10.1016/j.cma.2012.05.024zbMath1297.74090arXiv1307.5100OpenAlexW2162875435WikidataQ115063535 ScholiaQ115063535MaRDI QIDQ465842
Glaucio H. Paulino, Cameron Talischi
Publication date: 24 October 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.5100
Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items
Machine learning for topology optimization: physics-based learning through an independent training strategy ⋮ Multimaterial topology optimization by volume constrained Allen-Cahn system and regularized projected steepest descent method ⋮ State space Newton's method for topology optimization ⋮ A closer look at consistent operator splitting and its extensions for topology optimization ⋮ Topology optimization in B-spline space ⋮ A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler– Pister and Willam–Warnke ⋮ Topology optimization using the lattice Boltzmann method incorporating level set boundary expressions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A critical review of established methods of structural topology optimization
- On projection methods, convergence and robust formulations in topology optimization
- Heaviside projection based topology optimization by a PDE-filtered scalar function
- \texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes
- A note on the theoretical convergence properties of the SIMP method
- Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition
- Artificial time integration
- Analysis of optimality criteria and gradient projection methods for optimal structural design
- An optimal design problem with perimeter penalization
- Topology optimization of elastic continua using restriction.
- An algorithm for total variation minimization and applications
- Some convergence results in perimeter-controlled topology optimization
- Shape and topology optimization based on the phase field method and sensitivity analysis
- Filters in topology optimization
- Filters in topology optimization based on Helmholtz-type differential equations
- Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials
- Polygonal finite elements for topology optimization: A unifying paradigm
- Recycling Krylov Subspaces for Sequences of Linear Systems
- A forward–backward splitting algorithm for the minimization of non-smooth convex functionals in Banach space
- The method of moving asymptotes—a new method for structural optimization
- Optimal design and relaxation of variational problems, I
- Projected gradient methods for linearly constrained problems
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Optimization by decomposition and coordination: A unified approach
- Convergence Rates in Forward--Backward Splitting
- Cost Approximation: A Unified Framework of Descent Algorithms for Nonlinear Programs
- Design-dependent loads in topology optimization
- A new scheme for imposing a minimum length scale in topology optimization
- An Augmented Conjugate Gradient Method for Solving Consecutive Symmetric Positive Definite Linear Systems
- A new density‐stiffness interpolation scheme for topology optimization of continuum structures
- Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity
- Phase‐Field Relaxation of Topology Optimization with Local Stress Constraints
- Achieving minimum length scale in topology optimization using nodal design variables and projection functions
- Bilateral filtering for structural topology optimization
- Signal Recovery by Proximal Forward-Backward Splitting
- Conforming polygonal finite elements
- Topology optimization using regularized intermediate density control
