泊松几何中的数值方法及其在力学中的应用

IF 1.7 4区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mathematics and Mechanics of Solids Pub Date : 2024-01-25 DOI:10.1177/10812865231217096

Oscar Cosserat, Camille Laurent-Gengoux, Vladimir Salnikov

引用次数: 0

摘要

我们回顾了泊松几何背景下的几何积分器问题，并解释了它们的构造。这些泊松积分器在一些机械示例中进行了测试。我们用数字说明了它们的特性，并与传统方法进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical methods in Poisson geometry and their application to mechanics

We recall the question of geometric integrators in the context of Poisson geometry and explain their construction. These Poisson integrators are tested in some mechanical examples. Their properties are illustrated numerically and compared to traditional methods.

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来源期刊

Mathematics and Mechanics of Solids 工程技术-材料科学：综合

CiteScore

4.80

自引率

19.20%

发文量

159

审稿时长

1 months

期刊介绍： Mathematics and Mechanics of Solids is an international peer-reviewed journal that publishes the highest quality original innovative research in solid mechanics and materials science. The central aim of MMS is to publish original, well-written and self-contained research that elucidates the mechanical behaviour of solids with particular emphasis on mathematical principles. This journal is a member of the Committee on Publication Ethics (COPE).