Remarks on Poincaré and interpolation estimates for Truncated Hierarchical B-splines

DOI10.1142/S0218202521500111zbMath1474.65462OpenAlexW3126922139MaRDI QIDQ5164213

Carlotta Giannelli, Annalisa Buffa

Publication date: 10 November 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202521500111

zbMATH Keywords

adaptivityisogeometric analysishierarchical splinesTHB-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Spline approximation (41A15)

Related Items

BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines

Cites Work

• THB-splines: The truncated basis for hierarchical splines
• Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
• Primer of Adaptive Finite Element Methods
• Poincare constants for finite element stars
• Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates