We investigate the approximation error of mapped NURBS spaces, such as those used in isogeometric analysis in accordance to the isoparametric paradigm. We extend the results of [6] to the case of anisotropic meshes, such as those needed in the presence of boundary layers. The theoretical results cover anisotropic h-refinement and are supported by numerical tests involving different geometries.
Anisotropic NURBS approximation in isogeometric analysis / L. Beirao da Veiga, D. Cho, G. Sangalli. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 209-212:(2012 Feb), pp. 1-11. [10.1016/j.cma.2011.10.016]
Anisotropic NURBS approximation in isogeometric analysis
L. Beirao da VeigaPrimo
;
2012
Abstract
We investigate the approximation error of mapped NURBS spaces, such as those used in isogeometric analysis in accordance to the isoparametric paradigm. We extend the results of [6] to the case of anisotropic meshes, such as those needed in the presence of boundary layers. The theoretical results cover anisotropic h-refinement and are supported by numerical tests involving different geometries.
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