Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications
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Publication:1667640
DOI10.1016/j.camwa.2017.07.043zbMath1396.65022OpenAlexW2747492554MaRDI QIDQ1667640
Xiaodong Wei, Thomas J. R. Hughes, Yongjie Jessica Zhang
Publication date: 30 August 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.07.043
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Uses Software
Cites Work
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- Analysis-suitable T-splines are dual-compatible
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Local refinement of analysis-suitable T-splines
- THB-splines: The truncated basis for hierarchical splines
- Isogeometric spline forests
- Isogeometric analysis using LR B-splines
- Isogeometric boundary element analysis using unstructured T-splines
- A subdivision-based implementation of the hierarchical b-spline finite element method
- Isogeometric analysis using T-splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Refinable \(C^1\) spline elements for irregular quad layout
- Truncated hierarchical Catmull-Clark subdivision with local refinement
- Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
- Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline
- Polynomial splines over locally refined box-partitions
- Truncated T-splines: fundamentals and methods
- Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations
- Extended truncated hierarchical Catmull-Clark subdivision
- Modified T-splines
- Weighted T-splines with application in reparameterizing trimmed NURBS surfaces
- Isogeometric finite element data structures based on Bézier extraction of T-splines
- Isogeometric Analysis
- Analysis-suitable T-splines: Characterization, refineability, and approximation
- On the Local Linear Independence of Generalized Subdivision Functions
- Globally Structured Three-Dimensional Analysis-Suitable T-Splines: Definition, Linear Independence and $m$-graded local refinement
