Unstructured spline spaces for isogeometric analysis based on spline manifolds

DOI10.1016/j.cagd.2016.05.004zbMath1418.41011arXiv1507.08477OpenAlexW2225053929MaRDI QIDQ1634810

Thomas Takacs, Giancarlo Sangalli, Rafael Vázquez

Publication date: 18 December 2018

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08477

zbMATH Keywords

isogeometric analysismulti-patchspline manifoldunstructured T-splines

Mathematics Subject Classification ID

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

Related Items

A family of \(C^1\) quadrilateral finite elements, Adaptive Isogeometric Phase-Field Modeling of Weak and Strong Discontinuities, Adaptive refinement for unstructured T-splines with linear complexity, Manifold-based isogeometric analysis basis functions with prescribed sharp features, Splines for meshes with irregularities, Isogeometric analysis with \(C^1\)-smooth functions over multi-patch surfaces, Isogeometric analysis with \(C^1\) hierarchical functions on planar two-patch geometries, A super-smooth \(C^1\) spline space over planar mixed triangle and quadrilateral meshes, Manifold-based B-splines on unstructured meshes, Construction of approximate \(C^1\) bases for isogeometric analysis on two-patch domains, Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis, Globally Structured Three-Dimensional Analysis-Suitable T-Splines: Definition, Linear Independence and $m$-graded local refinement, Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations, Construction of \(C^2\) cubic splines on arbitrary triangulations, Subdivision and G-spline hybrid constructions for high-quality geometric and analysis-suitable surfaces

Uses Software

• IETI

Cites Work

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