Journal
COMPUTER-AIDED DESIGN
Volume 43, Issue 11, Pages 1438-1448Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.cad.2011.08.026
Keywords
Isogeometric analysis (IGA); FEA; PHT-splines; RPHT-splines; Residual-based a posteriori error estimator
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Polynomial splines over hierarchical T-meshes (PHT-splines) have an efficient and simple local refinement algorithm, but fail to represent exactly certain complex engineering geometries. In this paper, based on the current isogeometric framework, we overcome the drawbacks of PHT-splines by extending these to Rational PHT-splines (RPHT-splines), and explore RPHT-splines as the basis for analysis. A residual-based posteriori error estimator using RPHT-splines basis functions is derived to guide the local refinement process adaptively. Numerical examples show the potential of RPHT-splines as the basis for the adaptive isogeometric analysis. (C) 2011 Elsevier Ltd. All rights reserved.
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