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Adaptive isogeometric analysis using rational PHT-splines
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DOI：10.1016/j.cad.2011.08.026.png)
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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.
Keyword:
Isogeometric analysis (IGA)
FEA
PHT-splines
RPHT-splines
Residual-based a posteriori error estimator
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分享收藏Linear independence of the T-spline blending functions associated with some particular T-meshes与某些特定T网格相关的T样条混合函数的线性独立性
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