Analysis-Suitable T-splines are Dual-Compatible

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

doi:10.1016/j.cma.2012.02.025

Analysis-Suitable T-splines are Dual-Compatible

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

Department of Mathematics

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

90 Scopus citations

Abstract

In this paper we define Dual-Compatible (DC) T-splines, and we prove that Analysis-Suitable (AS) T-splines are Dual-Compatible. We show that the classical construction of a dual basis for tensor-product T-splines easily generalizes to DC T-spline spaces, and we discuss in the last section of the paper how it paves the way to a mathematical theory of AS T-splines.

Original language	English
Pages (from-to)	42-51
Number of pages	10
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	249-252
DOIs	https://doi.org/10.1016/j.cma.2012.02.025
State	Published - 1 Dec 2012

Keywords

Analysis-Suitable T-splines
Dual basis
Dual-Compatible T-splines
Isogeometric analysis

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10.1016/j.cma.2012.02.025

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abstract = "In this paper we define Dual-Compatible (DC) T-splines, and we prove that Analysis-Suitable (AS) T-splines are Dual-Compatible. We show that the classical construction of a dual basis for tensor-product T-splines easily generalizes to DC T-spline spaces, and we discuss in the last section of the paper how it paves the way to a mathematical theory of AS T-splines.",

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AU - Beirão da Veiga, L.

AU - Buffa, A.

AU - Cho, D.

AU - Sangalli, G.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - In this paper we define Dual-Compatible (DC) T-splines, and we prove that Analysis-Suitable (AS) T-splines are Dual-Compatible. We show that the classical construction of a dual basis for tensor-product T-splines easily generalizes to DC T-spline spaces, and we discuss in the last section of the paper how it paves the way to a mathematical theory of AS T-splines.

AB - In this paper we define Dual-Compatible (DC) T-splines, and we prove that Analysis-Suitable (AS) T-splines are Dual-Compatible. We show that the classical construction of a dual basis for tensor-product T-splines easily generalizes to DC T-spline spaces, and we discuss in the last section of the paper how it paves the way to a mathematical theory of AS T-splines.

KW - Analysis-Suitable T-splines

KW - Dual basis

KW - Dual-Compatible T-splines

KW - Isogeometric analysis

UR - https://www.scopus.com/pages/publications/84869877724

U2 - 10.1016/j.cma.2012.02.025

DO - 10.1016/j.cma.2012.02.025

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AN - SCOPUS:84869877724

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SP - 42

EP - 51

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

Analysis-Suitable T-splines are Dual-Compatible

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Keywords

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