Velocity field level-set method for topological shape optimization using freely distributed design variables

Numerical and other methods in solid mechanics (74Sxx) Optimization problems in solid mechanics (74Pxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Cites Work

A computational paradigm for multiresolution topology optimization (MTOP)
Parametric structural optimization with dynamic knot RBFs and partition of unity method
Structural topology optimization based on non-local shepard interpolation of density field
A topology optimization method based on the level set method incorporating a fictitious interface energy
A semi-implicit level set method for structural shape and topology optimization
The fast construction of extension velocities in level set methods
Structural optimization using sensitivity analysis and a level-set method.
``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
Material interpolation schemes in topology optimization
Multi-resolution multi-scale topology optimization -- a new paradigm
Stress constrained shape and topology optimization with fixed mesh: a B-spline finite cell method combined with level set function
A multi-material level set-based topology and shape optimization method
Structural optimization under overhang constraints imposed by additive manufacturing technologies
Topology optimization of coated structures and material interface problems
A multi-resolution method for 3D multi-material topology optimization
A PDE-based fast local level set method
Level set methods and dynamic implicit surfaces
A level set method for structural topology optimization.
A multilevel, level-set method for optimizing eigenvalues in shape design problems
Level set-based topology optimization with overhang constraint: towards support-free additive manufacturing
Stable hole nucleation in level set based topology optimization by using the material removal scheme of BESO
Integrated topology optimization of multi-component structures considering connecting interface behavior
Concurrent two-scale topological design of multiple unit cells and structure using combined velocity field level set and density model
Shape and topology optimization based on the phase field method and sensitivity analysis
Multi-material topology optimization considering interface behavior via XFEM and level set method
Design parameterization for topology optimization by intersection of an implicit function
Structural topology optimization with minimum distance control of multiphase embedded components by level set method
Parametric structural shape \& topology optimization with a variational distance-regularized level set method
Feature-driven topology optimization method with signed distance function
Length scale control for structural optimization by level sets
A nodal variable method of structural topology optimization based on Shepard interpolant
Continuous approximation of material distribution for topology optimization
A moving superimposed finite element method for structural topology optimization
Radial basis functions and level set method for structural topology optimization
A level set-based parameterization method for structural shape and topology optimization
The method of moving asymptotes—a new method for structural optimization
Achieving minimum length scale in topology optimization using nodal design variables and projection functions

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