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. © 2011 Elsevier B.V.
BEIRAO DA VEIGA, L., Cho, D., Sangalli, G. (2012). Anisotropic NURBS approximation in isogeometric analysis. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 209-212, 1-11 [10.1016/j.cma.2011.10.016].
Anisotropic NURBS approximation in isogeometric analysis
BEIRAO DA VEIGA, LOURENCOPrimo
;
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. © 2011 Elsevier B.V.
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