Analysis-Suitable T-splines are Dual-Compatible

L. Beirao da Veiga; A. Buffa; D. ChoG. Sangalli

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Analysis-Suitable T-splines are Dual-Compatible

机译：Analysis-Suitable T-splines are Dual-Compatible

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摘要

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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《Computer Methods in Applied Mechanics and Engineering》 |2012年第1期|42-51|共10页
作者
L. Beirao da Veiga; A. Buffa; D. ChoG. Sangalli;
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作者单位

Dipartimento di Matematica, Universita di Milano, Via Saldini 50, 20133 Milano, Italy,Istituto di Matematica Applicata e Tecnologle Informatiche "E. Magenes", CNR, Via Ferrata 1, 27100 Pavia, Italy;

Istituto di Matematica Applicata e Tecnologle Informatiche "E. Magenes", CNR, Via Ferrata 1, 27100 Pavia, Italy;

Dipartimento di Matematica, Universita di Milano, Via Saldini 50, 20133 Milano, Italy,Department of Mathematics, Dongguk University, Pil-dong 3-ga, Jung-gu, Seoul 100-715, South KoreaDipartimento di Matematica, Universita di Pavia, Via Ferrata 1, 27100 Pavia, Italy,Istituto di Matematica Applicata e Tecnologle Informatiche "E. Magenes", CNR, Via Ferrata 1, 27100 Pavia, Italy;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类自动化基础理论;
关键词
isogeometric analysis; analysis-suitable T-splines; dual-compatible T-splines; dual basis;

Analysis-Suitable T-splines are Dual-Compatible

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