New insight into multilevel local refinement in adaptive isogeometric analysis (Q6553276)

scientific article; zbMATH DE number 7863094

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English	New insight into multilevel local refinement in adaptive isogeometric analysis	scientific article; zbMATH DE number 7863094

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instance of

scholarly article

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title

New insight into multilevel local refinement in adaptive isogeometric analysis (English)

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International Journal for Numerical Methods in Engineering

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publication date

11 June 2024

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zbMATH Keywords

hierarchical B-spline

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isogeometric

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local refinement

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multilevel

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MaRDI profile type

Publication

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cites work

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Isogeometric Analysis

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Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall

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Isogeometric analysis of Lagrangian hydrodynamics: axisymmetric formulation in the \(rz\)-cylindrical coordinates

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Isogeometric analysis of Lagrangian hydrodynamics

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Modeling and simulation of bridge-section buffeting response in turbulent flow

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Fluid-structure interaction modeling of wind turbines: simulating the full machine

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Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines

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Error estimates for projection-based dynamic augmented Lagrangian boundary condition enforcement, with application to fluid–structure interaction

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Structural shape optimization by IGABEM and particle swarm optimization algorithm

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Isogeometric analysis for topology optimization with a phase field model

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An efficient auxiliary projection-based multigrid isogeometric reanalysis method and its application in an optimization framework

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Isogeometric stability analysis of thin shells: from simple geometries to engineering models

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Isogeometric thickness stretchable shell: efficient formulation for nonlinear dynamic problems

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Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices

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Isogeometric analysis of continuum damage in rotation-free composite shells

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Isogeometric analysis using LR B-splines

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Polynomial splines over locally refined box-partitions

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THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis

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Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis

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Adaptive isogeometric analysis by local \(h\)-refinement with T-splines

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Isogeometric analysis using T-splines

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On linear independence of T-spline blending functions

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Truncated hierarchical Catmull-Clark subdivision with local refinement

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Isogeometric finite element data structures based on Bézier extraction of T-splines

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Analysis-suitable adaptive T-mesh refinement with linear complexity

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The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement

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A hierarchical construction of LR meshes in 2D

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Some properties of LR-splines

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The role of Bézier extraction in adaptive isogeometric analysis: local refinement and hierarchical refinement

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Locally refined T-splines

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Adaptive refinement of hierarchical T-splines

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A hierarchical approach to adaptive local refinement in isogeometric analysis

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Adaptive Hierarchical Isogeometric Finite Element Methods

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Isogeometric spline forests

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An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

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A subdivision-based implementation of the hierarchical b-spline finite element method

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THB-splines: The truncated basis for hierarchical splines

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Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

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Bézier extraction and adaptive refinement of truncated hierarchical NURBS

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Multi-level Bézier extraction for hierarchical local refinement of isogeometric analysis

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Isogeometric finite element data structures based on Bézier extraction of NURBS

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Reproducing kernel formulation of B-spline and NURBS basis functions: a meshfree local refinement strategy for isogeometric analysis

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Local refinement of analysis-suitable T-splines

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On the efficiency of knot insertion algorithms

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Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates

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Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence

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Identifiers

zbMATH Open document ID

1548.6527

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DOI

10.1002/nme.6564

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6553276