Adaptive \(w\)-refinement: a new paradigm in isogeometric analysis (Q2021207)

scientific article; zbMATH DE number 7337996

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English	Adaptive \(w\)-refinement: a new paradigm in isogeometric analysis	scientific article; zbMATH DE number 7337996

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instance of

scholarly article

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title

Adaptive \(w\)-refinement: a new paradigm in isogeometric analysis (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

26 April 2021

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zbMATH Keywords

adaptivity

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GNURBS

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control weights

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optimal rational space

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describes a project that uses

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full work available at URL

https://doi.org/10.1016/j.cma.2020.113180

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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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An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry

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

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Adaptive isogeometric analysis with hierarchical box splines

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

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Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

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A hierarchical approach to adaptive local refinement in isogeometric analysis

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

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Splines and PDEs: from approximation theory to numerical linear algebra. Lecture notes from the summer school, Cetraro, Italy, July 2--7, 2017

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A survey on the local refinable splines

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Isogeometric analysis using T-splines

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Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines

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Hybrid-degree weighted T-splines and their application in isogeometric analysis

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Isogeometric collocation using analysis-suitable T-splines of arbitrary degree

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Local refinement of analysis-suitable T-splines

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Conformal solid T-spline construction from boundary T-spline representations

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Solid T-spline construction from boundary representations for genus-zero geometry

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Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline

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Converting an unstructured quadrilateral mesh to a standard T-spline surface

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Truncated T-splines: fundamentals and methods

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Truncated hierarchical Catmull-Clark subdivision with local refinement

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Extended truncated hierarchical Catmull-Clark subdivision

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Hybrid non-uniform recursive subdivision with improved convergence rates

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Isogeometric analysis using LR B-splines

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Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications

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Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis

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Isogeometric analysis on implicit domains using weighted extended PHT-splines

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Integrating CAD with Abaqus: a practical isogeometric analysis software platform for industrial applications

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Parameterization of computational domain in isogeometric analysis: methods and comparison

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A posteriori error estimation in finite element analysis

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An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions

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Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements

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Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method

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Weak Dirichlet boundary conditions for trimmed thin isogeometric shells

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Imposing essential boundary conditions in mesh-free methods

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Quasi-interpolation in isogeometric analysis based on generalized B-splines

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Blending NURBS and Lagrangian representations in isogeometric analysis

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Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis

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Fast formation of isogeometric Galerkin matrices by weighted quadrature

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Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis

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A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis

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A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms

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Anisotropic NURBS approximation in isogeometric analysis

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The use of rational functions in numerical quadrature

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Variationally consistent domain integration for isogeometric analysis

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Some identities for product and degree raising of splines

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Identifiers

zbMATH Open document ID

1506.65228

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Mathematics Subject Classification ID

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10.1016/J.CMA.2020.113180

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Sitelinks

Mathematics(1 entry)

mardi Publication:2021207