IsoGeometric analysis using T-splines on two-patch geometries

L. Beirão da Veiga; A. Buffa; D. Cho; G. Sangalli

doi:10.1016/j.cma.2011.02.005

IsoGeometric analysis using T-splines on two-patch geometries

L. Beirão da Veiga
, A. Buffa
, D. Cho
, G. Sangalli

Department of Mathematics

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

65 Scopus citations

Abstract

We develop optimal approximation estimates for T-splines in the case of geometries obtained by gluing two standard tensor product patches. We derive results both for the T-spline space in the parametric domain and the mapped T-NURBS in the physical one. A set of numerical tests in complete accordance with the theoretical developments is also presented.

Original language	English
Pages (from-to)	1787-1803
Number of pages	17
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	200
Issue number	21-22
DOIs	https://doi.org/10.1016/j.cma.2011.02.005
State	Published - 1 May 2011

Keywords

Approximation
Error estimates
IsoGeometric analysis
T-splines

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10.1016/j.cma.2011.02.005

Cite this

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title = "IsoGeometric analysis using T-splines on two-patch geometries",

abstract = "We develop optimal approximation estimates for T-splines in the case of geometries obtained by gluing two standard tensor product patches. We derive results both for the T-spline space in the parametric domain and the mapped T-NURBS in the physical one. A set of numerical tests in complete accordance with the theoretical developments is also presented.",

keywords = "Approximation, Error estimates, IsoGeometric analysis, T-splines",

author = "\{Beir{\~a}o da Veiga\}, L. and A. Buffa and D. Cho and G. Sangalli",

year = "2011",

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T1 - IsoGeometric analysis using T-splines on two-patch geometries

AU - Beirão da Veiga, L.

AU - Buffa, A.

AU - Cho, D.

AU - Sangalli, G.

PY - 2011/5/1

Y1 - 2011/5/1

N2 - We develop optimal approximation estimates for T-splines in the case of geometries obtained by gluing two standard tensor product patches. We derive results both for the T-spline space in the parametric domain and the mapped T-NURBS in the physical one. A set of numerical tests in complete accordance with the theoretical developments is also presented.

AB - We develop optimal approximation estimates for T-splines in the case of geometries obtained by gluing two standard tensor product patches. We derive results both for the T-spline space in the parametric domain and the mapped T-NURBS in the physical one. A set of numerical tests in complete accordance with the theoretical developments is also presented.

KW - Approximation

KW - Error estimates

KW - IsoGeometric analysis

KW - T-splines

UR - https://www.scopus.com/pages/publications/79952478685

U2 - 10.1016/j.cma.2011.02.005

DO - 10.1016/j.cma.2011.02.005

M3 - Article

AN - SCOPUS:79952478685

SN - 0045-7825

VL - 200

SP - 1787

EP - 1803

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 21-22

ER -

IsoGeometric analysis using T-splines on two-patch geometries

Abstract

Keywords

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