A mesh regularization scheme to update internal control points for isogeometric shape design optimization

DOI10.1016/j.cma.2014.11.045zbMath1423.74872OpenAlexW2009631299MaRDI QIDQ1798591

Seonho Cho, Myung Jin Choi

Publication date: 23 October 2018

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.2014.11.045

zbMATH Keywords

uniformityDirichlet energy functionalbijective mappingorthogonal meshinternal control pointisogeometric shape optimization

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computer-aided design (modeling of curves and surfaces) (65D17) Geometrical methods for optimization problems in solid mechanics (74P20)

Related Items (4)

Shape identification of scatterers using a time-dependent adjoint method ⋮ Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights ⋮ Isogeometric shape optimization on triangulations ⋮ Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis

Cites Work

• Unnamed Item
• Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method
• Isogeometric shape design optimization: exact geometry and enhanced sensitivity
• Isogeometric sizing and shape optimisation of beam structures
• Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
• Isogeometric shape optimization of vibrating membranes
• Parameterization of computational domain in isogeometric analysis: methods and comparison
• Full analytical sensitivities in NURBS based isogeometric shape optimization
• Isogeometric shape optimization of photonic crystals via coons patches
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Discrete Coons patches
• A shape optimization approach based on natural design variables and shape functions
• Mesh deformation based on fully stressed design: the method and 2-D examples
• Optimization of computational grids
• 3‐D shape optimal design and automatic finite element regridding
• Grid Generation Methods

This page was built for publication: A mesh regularization scheme to update internal control points for isogeometric shape design optimization