Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
type: Item
instance of: scholarly article
title: Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
zbMATH Open document ID: 1377.65149
author: Eduardo M. Garau
author: R. Vázquez
published in: Applied Numerical Mathematics
publication date: 2017-10-27T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 6799040
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: adaptive methods
zbMATH Keywords: hierarchical splines
zbMATH Keywords: local refinement
zbMATH Keywords: coarsening
zbMATH Keywords: algorithm
zbMATH Keywords: numerical test
describes a project that uses: ISOGAT
describes a project that uses: Matlab
describes a project that uses: CHARMS
describes a project that uses: GeoPDEs
MaRDI profile type: Publication
full work available at URL: j.apnum.2017.08.006
OpenAlex ID: W2751872818
cites work: Finite Element Approximation with Hierarchical B-Splines
cites work: Mathematical analysis of variational isogeometric methods
cites work: A subdivision-based implementation of the hierarchical b-spline finite element method
cites work: Adaptively refined multi-patch B-splines with enhanced smoothness
cites work: A posteriori error estimators for hierarchical B-spline discretizations
cites work: Refinable spaces and local approximation estimates for hierarchical splines
cites work: Adaptive isogeometric methods with hierarchical splines: error estimator and convergence
cites work: Subdivision shells with exact boundary control and non-manifold geometry
cites work: Isogeometric Analysis
cites work: A practical guide to splines.
cites work: \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
cites work: THB-splines: The truncated basis for hierarchical splines
cites work: Strongly stable bases for adaptively refined multilevel spline spaces
cites work: THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
cites work: CHARMS
cites work: Bézier extraction and adaptive refinement of truncated hierarchical NURBS
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Adaptive refinement of hierarchical B-spline finite elements with an efficient data transfer algorithm
cites work: Algorithms and Data Structures for Truncated Hierarchical B–splines
cites work: Q4938089
cites work: Natural hierarchical refinement for finite element methods
cites work: Goal-adaptive isogeometric analysis with hierarchical splines
cites work: An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
cites work: Q3592409
cites work: Isogeometric spline forests
cites work: Hierarchical NURBS in frictionless contact
cites work: A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
cites work: A hierarchical approach to adaptive local refinement in isogeometric analysis
cites work: Truncated hierarchical Catmull-Clark subdivision with local refinement
DOI: 10.1016/J.APNUM.2017.08.006
Recommended article: Adaptive isogeometric methods with hierarchical splines: an overview
Recommended article: Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates
Recommended article: Adaptive isogeometric methods with hierarchical splines: error estimator and convergence
Recommended article: Projection and transfer operators in adaptive isogeometric analysis with hierarchical B-splines
Recommended article: Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations
Recommended article: Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains
Recommended article: Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines
Recommended article: Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension
Recommended article: Goal-adaptive isogeometric analysis with hierarchical splines
description: scientific article; zbMATH DE number 6799040