Efficient Matlab implementation of NURBS-based IGA and material design using isogeometric topology optimization

Numerical computation using splines (65D07) Algorithms for approximation of functions (65D15) Topological methods for optimization problems in solid mechanics (74P15) Packaged methods for numerical algorithms (65Y15)

Cites Work

Isogeometric analysis for parameterized LSM-based structural topology optimization
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
A discrete level-set topology optimization code written in Matlab
Efficient topology optimization in MATLAB using 88 lines of code
On projection methods, convergence and robust formulations in topology optimization
PyOpt: a python-based object-oriented framework for nonlinear constrained optimization
An isogeometrical approach to structural topology optimization by optimality criteria
A hierarchical approach to adaptive local refinement in isogeometric analysis
\textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
Local refinement of analysis-suitable T-splines
GPU accelerated computation of the isogeometric analysis stiffness matrix
ISOGAT: a 2D tutorial MATLAB code for isogeometric analysis
Isogeometric topology optimization using trimmed spline surfaces
Isogeometric analysis using T-splines
Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
Isogeometric analysis using T-splines on two-patch geometries
An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
Generating optimal topologies in structural design using a homogenization method
Materials with prescribed constitutive parameters: An inverse homogenization problem
A 2589 line topology optimization code written for the graphics card
A level set method for structural topology optimization.
Effective properties of composite materials with periodic microstructure: A computational approach
Topology optimization for auxetic metamaterials based on isogeometric analysis
Isogeometric analysis: an overview and computer implementation aspects
B++ splines with applications to isogeometric analysis
Truncated T-splines: fundamentals and methods
An isogeometrical approach to structural level set topology optimization
Explicit isogeometric topology optimization using moving morphable components
An isogeometric analysis for elliptic homogenization problems
Filters in topology optimization
Filters in topology optimization based on Helmholtz-type differential equations
T‐spline finite element method for the analysis of shell structures
The method of moving asymptotes—a new method for structural optimization
A review of homogenization and topology optimization I—homogenization theory for media with periodic structure
Isogeometric Analysis
Evolutionary structural optimisation (ESO) using a bidirectional algorithm

This page was built for publication: Efficient Matlab implementation of NURBS-based IGA and material design using isogeometric topology optimization