Tuned Hybrid Non-Uniform Subdivision Surfaces with Optimal Convergence Rates

2020/03/26 by Xiaodong Wei, Wei, Xiaodong, Xin Li +5
Engineering · #Advanced Measurement and Metrology Techniques #Advanced Numerical Analysis Techniques #Advanced machining processes and optimization #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2003.12097

openalex publication_date 2020/03/26 · openalex created_date 2020/04/03 · openalex updated_date 2026/07/28

Abstract

This paper presents an enhanced version of our previous work, hybrid non-uniform subdivision surfaces [19], to achieve optimal convergence rates in isogeometric analysis. We introduce a parameter λ ((1)/(4)

Citations

• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

Related

• Overlapping Multi-Patch Isogeometric Method with Minimal Stabilization
• Isogeometric analysis of diffusion problems on random surfaces
• A note on the rate of convergence of integration schemes for closed surfaces
• Construction of analysis-suitable G¹ planar multi-patch parameterizations
• Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super- geometric analysis to Geometry Independent Field approximaTion (GIFT)