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Shape optimization using the cut finite element method

delete2018-01-01
delete75
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OA
AI
E
Erik Burman
D
Daniel Elfverson *
P
Peter Hansbo
M
Mats G. Larson
K
Karl Larsson
DOI：10.1016/j.cma.2017.09.005delete
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摘要

摘要

En 中文
我们提出了一种在线性弹性情况下用于形状优化的切割有限元方法。弹性域由水平集函数定义，并且通过使用输运方程沿速度场移动水平集来获得域的演化。速度场是满足一定规则性要求的形状导数的最大减小方向，并且形状导数的计算基于体积公式。使用切割有限元方法，在更新域时不需要重新网格划分，我们也可以使用高阶有限元近似。为了获得稳定的方法，在边界处的切割元素附近添加了稳定项，这提供了对边界附近的解的变化的控制。我们考虑了三角形和四边形网格以及不同阶的有限元空间，在二维情况下实现并说明了该方法的性能。（C）2017 Elsevier B.V. 版权所有。
Keyword:
CutFEM
Shape optimization
Level-set
Fictitious domain method
Linear elasticity
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期刊

Computer Methods in Applied Mechanics and Engineering 封面图
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
论文数:
1.3W
被引数:
5.6W

机构

U
University College London
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university of london
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Umea University
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1.4W
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