\(h\)-refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis
DOI10.1016/j.cagd.2022.102065zbMath1497.65037OpenAlexW4206902182MaRDI QIDQ2127695
Ye Ji, Yingying Yu, Chun-Gang Zhu, Jing-Gai Li
Publication date: 21 April 2022
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2022.102065
refinementsubdivision algorithmisogeometric analysistoric surface patchesparameterization of computational domain
Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method
- Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- Isogeometric analysis for trimmed CAD surfaces
- Full analytical sensitivities in NURBS based isogeometric shape optimization
- Bounding the influence of domain parameterization and knot spacing on numerical stability in isogeometric analysis
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Toric surface patches
- Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology
- Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition
- Exact conversion from Bézier tetrahedra to Bézier hexahedra
- Low-rank parameterization of planar domains for isogeometric analysis
- THB-splines multi-patch parameterization for multiply-connected planar domains via template segmentation
- Efficient \(r\)-adaptive isogeometric analysis with Winslow's mapping and monitor function approach
- Two-dimensional domain decomposition based on skeleton computation for parameterization and isogeometric analysis
- Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights
- Multi-sided Bézier surfaces over curved, multi-connected domains
- Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches
- Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications
- An improved algorithm for checking the injectivity of 2D toric surface patches
- Planar domain parameterization for isogeometric analysis based on Teichmüller mapping
- Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
- Gregory solid construction for polyhedral volume parameterization by sparse optimization
- Enhancement of a multi-sided Bézier surface representation
- De Casteljau algorithm and degree elevation of toric surface patches
- A multisided generalization of Bézier surfaces
- Isogeometric Analysis
- Some Geometrical Aspects of Control Points for Toric Patches
- Planar Parametrization in Isogeometric Analysis
This page was built for publication: \(h\)-refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis
