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Implicit Heaviside filter with high continuity based on suitably graded THB splines
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/nme.1064openalex-snapshot
Achieving minimum length scale in topology optimization using nodal design variables and projection functions
inferredcites →https://doi.org/10.1002/nme.3167openalex-snapshot
Isogeometric finite element data structures based on Bézier extraction of T‐splines
inferredcites →https://doi.org/10.1002/nme.6081openalex-snapshot
Isogeometric topology optimization for continuum structures using density distribution function
inferredcites →https://doi.org/10.1002/nme.6780openalex-snapshot
Adaptive topology optimization under suitably graded THB ‐spline refinement and coarsening
inferredcites →https://doi.org/10.1007/bf01650949openalex-snapshot
Optimal shape design as a material distribution problem
inferredcites →https://doi.org/10.1007/s00158-006-0087-xopenalex-snapshot
Morphology-based black and white filters for topology optimization
inferredcites →https://doi.org/10.1007/s00158-009-0452-7openalex-snapshot
Volume preserving nonlinear density filter based on heaviside functions
inferredcites →https://doi.org/10.1007/s00158-010-0602-yopenalex-snapshot
On projection methods, convergence and robust formulations in topology optimization
inferredcites →https://doi.org/10.1007/s00158-011-0680-5openalex-snapshot
An isogeometrical approach to structural topology optimization by optimality criteria
inferredcites →https://doi.org/10.1007/s00158-019-02390-9openalex-snapshot
Mixed projection- and density-based topology optimization with applications to structural assemblies
inferredcites →https://doi.org/10.1007/s00158-019-02476-4openalex-snapshot
Truncated hierarchical B-spline–based topology optimization
inferredcites →https://doi.org/10.1007/s00158-020-02629-wopenalex-snapshot
A new generation 99 line Matlab code for compliance topology optimization and its extension to 3D
inferredcites →https://doi.org/10.1007/s001580050176openalex-snapshot
A 99 line topology optimization code written in Matlab
inferredcites →https://doi.org/10.1007/s10409-013-0084-4openalex-snapshot
An adaptive method for high-resolution topology design
inferredcites →https://doi.org/10.1007/s10999-017-9396-zopenalex-snapshot
A 2D topology optimisation algorithm in NURBS framework with geometric constraints
inferredcites →https://doi.org/10.1007/s11465-016-0403-0openalex-snapshot
Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements
inferredcites →https://doi.org/10.1007/s11465-019-0568-4openalex-snapshot
Isogeometric topology optimization based on energy penalization for symmetric structure
inferredcites →https://doi.org/10.1016/0021-9045(72)90080-9openalex-snapshot
On calculating with B-splines
inferredcites →https://doi.org/10.1016/0045-7825(88)90086-2openalex-snapshot
Generating optimal topologies in structural design using a homogenization method
inferredcites →https://doi.org/10.1016/0045-7825(94)00714-xopenalex-snapshot
Topological design for vibrating structures
inferredcites →https://doi.org/10.1016/0045-7949(93)90035-copenalex-snapshot
A simple evolutionary procedure for structural optimization
inferredcites →https://doi.org/10.1016/j.advengsoft.2020.102942openalex-snapshot
On smooth or 0/1 designs of the fixed-mesh element-based topology optimization
inferredcites →https://doi.org/10.1016/j.apnum.2017.08.006openalex-snapshot
Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
inferredcites →https://doi.org/10.1016/j.cagd.2010.07.004openalex-snapshot
Quasi-interpolation in isogeometric analysis based on generalized B-splines
inferredcites →https://doi.org/10.1016/j.cagd.2012.03.025openalex-snapshot
THB-splines: The truncated basis for hierarchical splines
inferredcites →https://doi.org/10.1016/j.cagd.2019.05.001openalex-snapshot
A NURBS-based finite cell method for structural topology optimization under geometric constraints
inferredcites →https://doi.org/10.1016/j.cirp.2019.04.048openalex-snapshot
Maximum length scale requirement in a topology optimisation method based on NURBS hyper-surfaces
inferredcites →https://doi.org/10.1016/j.cma.2004.10.008openalex-snapshot
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
inferredcites →https://doi.org/10.1016/j.cma.2009.02.036openalex-snapshot
Isogeometric analysis using T-splines
inferredcites →https://doi.org/10.1016/j.cma.2011.09.004openalex-snapshot
A hierarchical approach to adaptive local refinement in isogeometric analysis
inferredcites →https://doi.org/10.1016/j.cma.2011.11.022openalex-snapshot
Local refinement of analysis-suitable T-splines
inferredcites →https://doi.org/10.1016/j.cma.2013.06.001openalex-snapshot
Topology optimization in B-spline space
inferredcites →https://doi.org/10.1016/j.cma.2013.09.014openalex-snapshot
Isogeometric analysis using LR B-splines
inferredcites →https://doi.org/10.1016/j.cma.2015.02.031openalex-snapshot
On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines
inferredcites →https://doi.org/10.1016/j.cma.2015.11.002openalex-snapshot
THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
inferredcites →https://doi.org/10.1016/j.cma.2016.06.027openalex-snapshot
Feature-driven topology optimization method with signed distance function
inferredcites →https://doi.org/10.1016/j.cma.2016.07.018openalex-snapshot
Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons
inferredcites →https://doi.org/10.1016/j.cma.2016.08.015openalex-snapshot
Multiscale isogeometric topology optimization for lattice materials
inferredcites →https://doi.org/10.1016/j.cma.2016.09.045openalex-snapshot
Isogeometric analysis with Bézier tetrahedra
inferredcites →https://doi.org/10.1016/j.cma.2016.09.046openalex-snapshot
Adaptive isogeometric analysis with hierarchical box splines
inferredcites →https://doi.org/10.1016/j.cma.2017.08.021openalex-snapshot
Explicit isogeometric topology optimization using moving morphable components
inferredcites →https://doi.org/10.1016/j.cma.2018.04.048openalex-snapshot
A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes
inferredcites →https://doi.org/10.1016/j.cma.2019.01.044openalex-snapshot
Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes
inferredcites →https://doi.org/10.1016/j.cma.2019.03.016openalex-snapshot
Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions
inferredcites →https://doi.org/10.1016/j.cma.2019.05.026openalex-snapshot
Minimum length scale control in a NURBS-based SIMP method
inferredcites →https://doi.org/10.1016/j.cma.2019.112696openalex-snapshot
A hierarchical spline based isogeometric topology optimization using moving morphable components
inferredcites →https://doi.org/10.1016/j.cma.2019.112778openalex-snapshot
An adaptive bubble method for structural shape and topology optimization
inferredcites →https://doi.org/10.1016/j.cma.2020.112876openalex-snapshot
Isogeometric topology optimization for computational design of re-entrant and chiral auxetic composites
inferredcites →https://doi.org/10.1016/j.compstruc.2012.11.004openalex-snapshot
An adaptive refinement approach for topology optimization based on separated density field description
inferredcites →https://doi.org/10.1016/j.compstruc.2014.01.008openalex-snapshot
Adaptive topology optimization with independent error control for separated displacement and density fields
inferredcites →https://doi.org/10.1016/j.compstruc.2020.106324openalex-snapshot
A CAD-oriented structural topology optimization method
inferredcites →https://doi.org/10.1016/j.compstruct.2019.111171openalex-snapshot
An isogeometric approach to topology optimization of spatially graded hierarchical structures
inferredcites →https://doi.org/10.1016/j.compstruct.2020.113497openalex-snapshot
Evolutionary topology optimization for structures made of multiple materials with different properties in tension and compression
inferredcites →https://doi.org/10.1016/j.compstruct.2021.114163openalex-snapshot
An isogeometric approach to topological optimization design of auxetic composites with tri-material micro-architectures
inferredcites →https://doi.org/10.1016/j.engstruct.2020.110330openalex-snapshot
Smooth topological design of structures using the floating projection
inferredcites →https://doi.org/10.1016/j.engstruct.2020.110602openalex-snapshot
Eigen-frequencies and harmonic responses in topology optimisation: A CAD-compatible algorithm
inferredcites →https://doi.org/10.1016/j.ijmecsci.2019.105103openalex-snapshot
Isogeometric topology optimization for rational design of ultra-lightweight architected materials
inferredcites →https://doi.org/10.1016/j.jcp.2003.09.032openalex-snapshot
Structural optimization using sensitivity analysis and a level-set method
inferredcites →https://doi.org/10.1016/s0045-7825(02)00559-5openalex-snapshot
A level set method for structural topology optimization
inferredcites →https://doi.org/10.1080/15376494.2019.1582826openalex-snapshot
NURBS hyper-surfaces for 3D topology optimization problems
inferredcites →https://doi.org/10.1090/s0025-5718-03-01600-4openalex-snapshot
Analysis of recovery type a posteriori error estimators for mildly structured grids
inferredcites →https://doi.org/10.1115/1.4027609openalex-snapshot
Doing Topology Optimization Explicitly and Geometrically—A New Moving Morphable Components Based Framework
inferredcites →https://doi.org/10.1115/1.4034972openalex-snapshot
Structural Topology Optimization Through Explicit Boundary Evolution
inferredcites →https://doi.org/10.1142/s0218202516500019openalex-snapshot
Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
inferredcites →https://doi.org/10.3390/axioms7030043openalex-snapshot
Refinement Algorithms for Adaptive Isogeometric Methods with Hierarchical Splines
inferredcites →https://doi.org/10.4236/ajcm.2012.24034openalex-snapshot
Application for Superconvergence of Finite Element Approximations for the Elliptic Problem by Global and Local L2-Projection Methods
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117374openalex-snapshot
Topology optimization using immersed isogeometric analysis and its software implementation
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