Globally Structured Three-Dimensional Analysis-Suitable T-Splines: Definition, Linear Independence and $m$-graded local refinement

DOI10.1137/15M102229XzbMath1386.65077arXiv1505.05392OpenAlexW3103358636WikidataQ57642718 ScholiaQ57642718MaRDI QIDQ5741062

Philipp Morgenstern

Publication date: 21 July 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05392

zbMATH Keywords

adaptive mesh refinementisogeometric analysisanalysis-suitabilitydual-compatibilitytrivariate T-splines

Mathematics Subject Classification ID

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

Related Items (15)

Adaptive isogeometric methods with hierarchical splines: an overview ⋮ Adaptive Isogeometric Phase-Field Modeling of Weak and Strong Discontinuities ⋮ On the dimension of trivariate spline spaces with the highest order smoothness on 3D T-meshes ⋮ Adaptive refinement for unstructured T-splines with linear complexity ⋮ Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications ⋮ A diffuse modeling approach for embedded interfaces in linear elasticity ⋮ Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines ⋮ Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates ⋮ Adaptive IGAFEM with optimal convergence rates: T-splines ⋮ On the approximation power of generalized T-splines ⋮ Local approximation from spline spaces on box meshes ⋮ Optimal convergence rates for goal-oriented FEM with quadratic goal functional ⋮ Adaptive mesh refinement strategies in isogeometric analysis -- a computational comparison ⋮ Projection and transfer operators in adaptive isogeometric analysis with hierarchical B-splines ⋮ U-splines: splines over unstructured meshes

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