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Isogeometric collocation on planar multi-patch domains (Q2175246)

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Language	Label	Description	Also known as
English	Isogeometric collocation on planar multi-patch domains	scientific article

Statements

scholarly article

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Isogeometric collocation on planar multi-patch domains (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

29 April 2020

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full work available at URL

https://arxiv.org/abs/1908.00813

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zbMATH Keywords

isogeometric analysis

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collocation

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superconvergent points

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second order continuity

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multi-patch domain

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Poisson's equation

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MaRDI profile type

MaRDI publication profile

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ISOGEOMETRIC COLLOCATION METHODS

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An isogeometric collocation method using superconvergent points

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The variational collocation method

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Optimal-order isogeometric collocation at Galerkin superconvergent points

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Mathematical analysis of variational isogeometric methods

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Isogeometric Analysis

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

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Smooth Bézier surfaces over unstructured quadrilateral meshes

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\(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements

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Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces

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Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries

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Dimension and basis construction for analysis-suitable \(G^1\) two-patch parameterizations

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An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains

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Isogeometric analysis with geometrically continuous functions on two-patch geometries

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Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology

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Refinable \(C^1\) spline elements for irregular quad layout

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Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations

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Isogeometric analysis with strong multipatch \(C^{1}\)-coupling

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Space of \(C^2\)-smooth geometrically continuous isogeometric functions on two-patch geometries

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Space of \(C^2\)-smooth geometrically continuous isogeometric functions on planar multi-patch geometries: dimension and numerical experiments

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Dimension and basis construction for \(C^2\)-smooth isogeometric spline spaces over bilinear-like \(G^2\) two-patch parameterizations

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Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis

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Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements

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Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods

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

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An Introduction to Isogeometric Collocation Methods

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Explicit isogeometric collocation for the dynamics of three-dimensional beams undergoing finite motions

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Isogeometric collocation for the Reissner-Mindlin shell problem

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Explicit higher-order accurate isogeometric collocation methods for structural dynamics

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Reduced integration at superconvergent points in isogeometric analysis

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Isogeometric collocation for elastostatics and explicit dynamics

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

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Isogeometric collocation: Neumann boundary conditions and contact

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Isogeometric collocation for phase-field fracture models

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Identifiers

zbMATH Open document ID

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10.1016/j.cma.2019.112684

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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:2175246

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