ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES-Reference-Cited by-同舟云学术

ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES

Published:2013-07-23 Issue:11 Volume:23 Page:1979-2003
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BEIRÃO DA VEIGA L.¹,BUFFA A.²,SANGALLI G.³,VÁZQUEZ R.²

Affiliation:

1. Dipartimento di Matematica "F. Enriques", Università di Milano, Via Saldini 50, 20133 Milano, Italy

2. Istituto di Matematica Applicata e Tecnologie, Informatiche "E. Magenes", Centro Nazionale delle Ricerche, Via Ferrata 1, 27100 Pavia, Italy

3. Dipartimento di Matematica "F. Casorati", Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy

Abstract

T-splines are an important tool in IGA since they allow local refinement. In this paper we define analysis-suitable T-splines of arbitrary degree and prove fundamental properties: Linear independence of the blending functions and optimal approximation properties of the associated T-spline space. These are corollaries of our main result: A T-mesh is analysis-suitable if and only if it is dual-compatible. Indeed, dual compatibility is a concept already defined and used in L. Beirão da Veiga et al.5 Analysis-suitable T-splines are dual-compatible which allows for a straightforward construction of a dual basis.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202513500231

Reference24 articles.

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2. ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES

3. Isogeometric analysis using T-splines

4. IsoGeometric analysis using T-splines on two-patch geometries

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