Anisotropic NURBS approximation in isogeometric analysis

L. Beirão da Veiga; D. Cho; G. Sangalli

doi:10.1016/j.cma.2011.10.016

Anisotropic NURBS approximation in isogeometric analysis

L. Beirão da Veiga
, D. Cho
, G. Sangalli

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

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.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	209-212
DOIs	https://doi.org/10.1016/j.cma.2011.10.016
State	Published - 1 Feb 2012

Keywords

Anisotropic refinement
Error estimates
Isogeometric analysis

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10.1016/j.cma.2011.10.016

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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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AU - Beirão da Veiga, L.

AU - Cho, D.

AU - Sangalli, G.

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N2 - 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.

AB - 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.

KW - Anisotropic refinement

KW - Error estimates

KW - Isogeometric analysis

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M3 - Article

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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

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Anisotropic NURBS approximation in isogeometric analysis

Abstract

Keywords

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