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An adaptive collocation method with weighted extended PHT-splines (Q2661861)

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Language	Label	Description	Also known as
English	An adaptive collocation method with weighted extended PHT-splines	scientific article

Statements

scholarly article

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An adaptive collocation method with weighted extended PHT-splines (English)

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Journal of Systems Science and Complexity

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publication date

8 April 2021

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zbMATH Keywords

collocation method

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Gaussian points

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PHT-splines

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weighted extended PHT-splines

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11424-020-9390-7

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

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Isogeometric analysis using T-splines

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

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On linear independence of T-spline blending functions

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Analysis-suitable T-splines: Characterization, refineability, and approximation

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Local refinement of analysis-suitable T-splines

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AS++ T-splines: linear independence and approximation

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Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids

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Rotation-free isogeometric thin shell analysis using PHT-splines

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Modified PHT-splines

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A hierarchical approach to adaptive local refinement in 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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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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Strongly stable bases for adaptively refined multilevel spline spaces

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Isogeometric analysis using LR B-splines

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A unified approach to construct generalized B-splines for isogeometric applications

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Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis

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Planar domain parameterization for isogeometric analysis based on Teichmüller mapping

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Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis

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A \(H^1\)-integrability condition of surfaces with singular parametrizations in isogeometric analysis

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Weighted Extended B-Spline Approximation of Dirichlet Problems

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Weighted T-splines with application in reparameterizing trimmed NURBS surfaces

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Stable isogeometric analysis of trimmed geometries

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Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type

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Numerical integration over implicitly defined domains with topological guarantee

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An isogeometric collocation method using superconvergent points

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Isogeometric collocation for the Reissner-Mindlin shell problem

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Isogeometric collocation methods with generalized B-splines

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Consistency and convergence properties of the isogeometric collocation method

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An adaptive isogeometric analysis collocation method with a recovery-based error estimator

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Dimensions of spline spaces over T-meshes

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Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

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Collocation with WEB-splines

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Isogeometric analysis on implicit domains using weighted extended PHT-splines

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Finite Element Methods with B-Splines

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A practical guide to splines

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ISOGEOMETRIC COLLOCATION METHODS

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The variational collocation method

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Collocation at Gaussian Points

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A Convergent Adaptive Algorithm for Poisson’s Equation

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Identifiers

zbMATH Open document ID

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10.1007/s11424-020-9390-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2661861

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