A simple scheme for the approximation of elastic vibrations of inextensible curves

A simple scheme for the approximation of elastic vibrations of inextensible curves
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不可扩展曲线弹性振动近似的简单方案

DOI:
10.1093/imanum/drv054
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发表时间:
2016
影响因子:
2.1
通讯作者:
S. Bartels
S. Bartels
中科院分区:
数学2区
文献类型:
--
作者:
S. Bartels

文献摘要

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本文提出了一种近似不可伸长弹性曲线大振动变形的数值方法。在对离散参数较弱的条件下,证明了该方法的无条件稳定性和收敛性,并给出了数值实验。
A numerical scheme for the approximation of large vibration deformations of inextensible elastic curves is devised. Its unconditional stability and convergence under a mild condition on the discretization parameters are demonstrated and numerical experiments are provided.