Properties of spline spaces over structured hierarchical box partitions

DOI10.1007/978-3-030-49836-8_9zbMath1469.41002arXiv1906.03061OpenAlexW3169390720MaRDI QIDQ1979759

Tor Dokken, Ivar Stangeby

Publication date: 3 September 2021

Full work available at URL: https://arxiv.org/abs/1906.03061

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• 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 analysis using LR B-splines
• Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
• On the similarities and differences between classical hierarchical, truncated hierarchical and LR B-splines
• Polynomial splines over locally refined box-partitions
• Linear dependence of bivariate minimal support and locally refined B-splines over LR-meshes
• Condition number analysis and preconditioning of the finite cell method
• THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
• Spline Volume Fairing