@article {IOPORT.06058871, author = {Beir\~ao da Veiga, Louren\c{c}o and Cho, Durkbin and Sangalli, Giancarlo}, title = {Anisotropic NURBS approximation in isogeometric analysis.}, year = {2012}, journal = {Computer Methods in Applied Mechanics and Engineering}, volume = {209-212}, issn = {0045-7825}, pages = {1-11}, publisher = {Elsevier Science S. A.( North-Holland), Amsterdam}, doi = {10.1016/j.cma.2011.10.016}, abstract = {Summary: 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 [the first author et al., Numer. Math. 118, No. 2, 271--305 (2011; Zbl 1222.41010)] 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.}, identifier = {06058871}, }