Locally refined T-splines

DOI10.1002/nme.5759zbMATH Open1548.65053MaRDI QIDQ6569274

Unnamed Author, René de Borst

Publication date: 8 July 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

Bézier extractionlinear dependencyLR T-splinesLR T-meshpartition of unity property

Mathematics Subject Classification ID

Numerical computation using splines (65D07)

Cites Work

• A hierarchical approach to adaptive local refinement in isogeometric analysis
• On linear independence of T-spline blending functions
• Local refinement of analysis-suitable T-splines
• THB-splines: The truncated basis for hierarchical splines
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• Adaptive local surface refinement based on LR NURBS and its application to contact
• On the similarities and differences between classical hierarchical, truncated hierarchical and LR B-splines
• Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
• Polynomial splines over locally refined box-partitions
• Simple a posteriori error estimators in adaptive isogeometric analysis
• Truncated T-splines: fundamentals and methods
• Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis
• Bézier extraction and adaptive refinement of truncated hierarchical NURBS
• Some properties of LR-splines
• On calculating with B-splines
• Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines
• Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
• Isogeometric finite element data structures based on Bézier extraction of T-splines
• The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement
• Isogeometric Analysis
• The Numerical Evaluation of B-Splines
• Adaptive hierarchical refinement of NURBS in cohesive fracture analysis
• The role of Bézier extraction in adaptive isogeometric analysis: local refinement and hierarchical refinement

Related Items (5)

Energy conservation during remeshing in the analysis of dynamic fracture ⋮ Convergence in non-associated plasticity and fracture propagation for standard, rate-dependent, and Cosserat continua ⋮ New insight into multilevel local refinement in adaptive isogeometric analysis ⋮ Adaptive isogeometric analysis for phase-field modeling of anisotropic brittle fracture ⋮ Discrete fracture analysis using locally refined T-splines

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