Isogeometric analysis using LR B-splines

Isogeometric analysis using LR B-splines
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DOI:
10.1016/j.cma.2013.09.014
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发表时间:
2014-02
影响因子:
7.2
通讯作者:
K. Johannessen;T. Kvamsdal;T. Dokken
K. Johannessen;T. Kvamsdal;T. Dokken
中科院分区:
工程技术1区
文献类型:
--
作者:
K. Johannessen;T. Kvamsdal;T. Dokken

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Dokken等人(2013)[6]最近提出的局部细化B样条(表示为LR B样条)可能有潜力成为等几何分析的框架,以实现未来的互操作计算机辅助设计和有限元分析。在本文中,我们提出了局部细化策略的自适应等几何分析,使用LR B样条,并研究其性能进行数值测试,在著名的基准情况下。LR B样条背后的理论没有详细介绍,但主要的概念成分解释和说明了一些例子。
The recently proposed locally refined B-splines, denoted LR B-splines, by Dokken et al. (2013) [6] may have the potential to be a framework for isogeometric analysis to enable future interoperable computer aided design and finite element analysis. In this paper, we propose local refinement strategies for adaptive isogeometric analysis using LR B-splines and investigate its performance by doing numerical tests on well known benchmark cases. The theory behind LR B-spline is not presented in full details, but the main conceptual ingredients are explained and illustrated by a number of examples.