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Preliminary Studies on the Usefulness of Nonlinear Boundary Element Method for Real-Time Simulation of Biological Organs
arXiv - CS - Computational Engineering, Finance, and Science Pub Date : 2020-01-06 , DOI: arxiv-2001.01756
Kirana Kumara P

There is some literature on the application of linear boundary element method (BEM) for real-time simulation of biological organs. However, literature is scant when it comes to the application of nonlinear BEM, although there is a possibility that the use of nonlinear BEM would result in better simulations. Hence the present paper explores the possibility of using nonlinear BEM for real-time simulation of biological organs. This paper begins with a general discussion about using the nonlinear BEM for real-time simulation of biological organs. Literature on nonlinear BEM is reviewed and the literature that deal with nonlinear formulations and coding are noted down next. In the later sections, some results obtained from nonlinear analyses are compared with the corresponding results from linear analyses. The last section concludes with remarks that indicate that it might be possible to obtain better simulations in the future by using nonlinear BEM.

中文翻译:

非线性边界元法在生物器官实时模拟中的应用初探

有一些关于应用线性边界元法 (BEM) 实时模拟生物器官的文献。然而,关于非线性 BEM 的应用的文献很少,尽管使用非线性 BEM 可能会导致更好的模拟。因此,本文探讨了使用非线性边界元法对生物器官进行实时模拟的可能性。本文首先对使用非线性边界元法进行生物器官实时模拟的一般性讨论开始。回顾了非线性边界元法的文献,接下来记录了处理非线性公式和编码的文献。在后面的部分中,将从非线性分析获得的一些结果与从线性分析获得的相应结果进行比较。
更新日期:2020-01-08
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