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New insights into the β1/β2-Bathe time integration scheme when L-stable
Computers & Structures ( IF 4.4 ) Pub Date : 2020-12-23 , DOI: 10.1016/j.compstruc.2020.106433
Mohammad Mahdi Malakiyeh , Saeed Shojaee , Saleh Hamzehei-Javaran , Klaus-Jürgen Bathe

In this paper we focus on the L-stable β1/β2-Bathe time integration method to obtain new insights for transient and wave propagation solutions. The method is a specific case of the ρ- Bathe scheme but deserves special attention because it can be used directly as a first-order and second-order scheme effective in certain analyses. We show how the parameters β1 and β2 can be used to introduce appropriate numerical damping and illustrate the theoretical findings through the solution of some wave propagation problems.



中文翻译:

新的见解β 1 / β 2 -Bathe时间积分方案时大号稳定版

在本文中,我们重点介绍L稳定 β1个/β2-沐浴时间积分方法,以获得有关瞬态和波传播解决方案的新见解。该方法是特定情况下的ρ-洗澡方案,但值得特别注意,因为它可以直接用作有效的某些分析中的一阶和二阶方案。我们展示了参数β1个β2 可以用来引入适当的数值阻尼,并通过解决一些波传播问题来说明理论发现。

更新日期:2020-12-23
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