Anisotropic NURBS approximation in isogeometric analysis

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 cov...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2012-02, Vol.209-212, p.1-11
Main Authors: Beirão da Veiga, L., Cho, D., Sangalli, G.
Format: Article
Language:English
Subjects:
Anisotropic refinement
Anisotropy
Approximation
Boundary layer
Computer simulation
Error analysis
Error estimates
Isogeometric analysis
Mathematical analysis
Mathematical models
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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 [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.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2011.10.016