Refinable spaces and local approximation estimates for hierarchical splines

DOI10.1093/imanum/drw035zbMath1433.41005arXiv1507.06534OpenAlexW2964138831MaRDI QIDQ4683783

Eduardo M. Garau, Annalisa Buffa

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06534

zbMATH Keywords

quasi-interpolationlocal refinementhierarchical splinesadaptivity in isogeometric analysis

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (8)

Adaptive isogeometric methods with hierarchical splines: an overview ⋮ Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations ⋮ Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines ⋮ A new perspective on hierarchical spline spaces for adaptivity ⋮ Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines ⋮ Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates ⋮ On Quasi-Interpolation Operators in Spline Spaces ⋮ A posteriori error estimators for hierarchical B-spline discretizations

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