Linear independence of the T-spline blending functions associated with some particular T-meshes

A. Buffa; D. Cho; G. Sangalli

doi:10.1016/j.cma.2009.12.004

Linear independence of the T-spline blending functions associated with some particular T-meshes

A. Buffa
, D. Cho
, G. Sangalli

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

144 Scopus citations

Abstract

Based on the local refinement algorithm addressed in Sederberg et al. (2004) [17], we analyze the linear independence of the bi-cubic T-spline blending functions corresponding to particular T-meshes.

Original language	English
Pages (from-to)	1437-1445
Number of pages	9
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	199
Issue number	23-24
DOIs	https://doi.org/10.1016/j.cma.2009.12.004
State	Published - Apr 2010

Keywords

Isogeometric analysis
Linear independence
T-splines

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10.1016/j.cma.2009.12.004

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title = "Linear independence of the T-spline blending functions associated with some particular T-meshes",

abstract = "Based on the local refinement algorithm addressed in Sederberg et al. (2004) [17], we analyze the linear independence of the bi-cubic T-spline blending functions corresponding to particular T-meshes.",

keywords = "Isogeometric analysis, Linear independence, T-splines",

author = "A. Buffa and D. Cho and G. Sangalli",

year = "2010",

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doi = "10.1016/j.cma.2009.12.004",

language = "English",

volume = "199",

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journal = "Computer Methods in Applied Mechanics and Engineering",

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T1 - Linear independence of the T-spline blending functions associated with some particular T-meshes

AU - Buffa, A.

AU - Cho, D.

AU - Sangalli, G.

PY - 2010/4

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N2 - Based on the local refinement algorithm addressed in Sederberg et al. (2004) [17], we analyze the linear independence of the bi-cubic T-spline blending functions corresponding to particular T-meshes.

AB - Based on the local refinement algorithm addressed in Sederberg et al. (2004) [17], we analyze the linear independence of the bi-cubic T-spline blending functions corresponding to particular T-meshes.

KW - Isogeometric analysis

KW - Linear independence

KW - T-splines

UR - https://www.scopus.com/pages/publications/77951259215

U2 - 10.1016/j.cma.2009.12.004

DO - 10.1016/j.cma.2009.12.004

M3 - Article

AN - SCOPUS:77951259215

SN - 0045-7825

VL - 199

SP - 1437

EP - 1445

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 23-24

ER -

Linear independence of the T-spline blending functions associated with some particular T-meshes

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Keywords

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