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.
IsoGeometric analysis using T-splines on two-patch geometries / L. Beirao da Veiga, A. Buffa, D. Cho, G. Sangalli. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 200:21-22(2011 May), pp. 1787-1803.
IsoGeometric analysis using T-splines on two-patch geometries
L. Beirao da VeigaPrimo
;
2011
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.
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