A phase field method based on multi-level correction for eigenvalue topology optimization
DOI10.1016/j.cma.2022.115646OpenAlexW4301587000MaRDI QIDQ2096872
Meizhi Qian, Xindi Hu, Shengfeng Zhu
Publication date: 11 November 2022
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.2022.115646
Numerical optimization and variational techniques (65K10) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)
Uses Software
Cites Work
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- Phase field method to optimize dielectric devices for electromagnetic wave propagation
- A level set based shape and topology optimization method for maximizing the simple or repeated first eigenvalue of structure vibration
- Phase-field based topology optimization with polygonal elements: a finite volume approach for the evolution equation
- Isogeometric analysis for topology optimization with a phase field model
- A topology optimization method based on the level set method incorporating a fictitious interface energy
- Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum
- Algebraic multigrid methods for direct frequency response analyses in solid mechanics
- Design sensitivity analysis of structural systems
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Generating optimal topologies in structural design using a homogenization method
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- Material interpolation schemes in topology optimization
- Structural boundary design via level set and immersed interface methods
- A level-set method for shape optimization.
- A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints
- An approach for maximizing the smallest eigenfrequency of structure vibration based on piecewise constant level set method
- A multi-mesh finite element method for phase-field based photonic band structure optimization
- A level set method for shape optimization in semilinear elliptic problems
- A multilevel correction adaptive finite element method for Kohn-Sham equation
- Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians
- A multilevel Newton's method for eigenvalue problems.
- The gradient theory of phase transitions and the minimal interface criterion
- A level set method for structural topology optimization.
- A multilevel, level-set method for optimizing eigenvalues in shape design problems
- Robust topology optimization of vibrating structures considering random diffuse regions via a phase-field method
- Concurrent two-scale topological design of multiple unit cells and structure using combined velocity field level set and density model
- Adaptive multi-material topology optimization with hyperelastic materials under large deformations: a virtual element approach
- Sensitivity analysis and lattice density optimization for sequential inherent strain method used in additive manufacturing process
- Additive manufacturing oriented topology optimization of structures with self-supported enclosed voids
- Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers
- Universal machine learning for topology optimization
- Flexoelectric nanostructure design using explicit topology optimization
- A level set method for Laplacian eigenvalue optimization subject to geometric constraints
- Part and supports optimization in metal powder bed additive manufacturing using simplified process simulation
- Explicit topology optimization using IGA-based moving morphable void (MMV) approach
- Shape and topology optimization based on the phase field method and sensitivity analysis
- Multi-material thermomechanical topology optimization with applications to additive manufacturing: design of main composite part and its support structure
- Multi-material structural topology optimization considering material interfacial stress constraints
- Towards solving large-scale topology optimization problems with buckling constraints at the cost of linear analyses
- Self-supporting structure design in additive manufacturing through explicit topology optimization
- A method using successive iteration of analysis and design for large-scale topology optimization considering eigenfrequencies
- Finite element approximation to the extremal eigenvalue problem for inhomogenous materials
- Incorporating topological derivatives into shape derivatives based level set methods
- A level-set method for vibration and multiple loads structural optimization
- A two-grid binary level set method for eigenvalue optimization
- Sharp Interface Limit for a Phase Field Model in Structural Optimization
- A phase-field model for compliance shape optimization in nonlinear elasticity
- Velocity Extension for the Level-set Method and Multiple Eigenvalues in Shape Optimization
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Iterative Methods by Space Decomposition and Subspace Correction
- Design-dependent loads in topology optimization
- A two-grid discretization scheme for eigenvalue problems
- New development in freefem++
- A Parallel Augmented Subspace Method for Eigenvalue Problems
- An Introduction to the Topological Derivative Method
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A Monotonic Algorithm for Eigenvalue Optimization in Shape Design Problems of Multi-density Inhomogeneous Materials
- Phase‐Field Relaxation of Topology Optimization with Local Stress Constraints
- Shape optimization problems for eigenvalues of elliptic operators
- A multi-level correction scheme for eigenvalue problems
- Eigenfrequency optimization in optimal design
- Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
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