A general approach to transforming finite elements
A general approach to transforming finite elements
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转换有限元的通用方法
DOI：
10.5802/smai-jcm.33
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
R. Kirby
中科院分区：
文献类型：
--
作者：
R. Kirby
使用参考单元（在该参考单元上构建有限元基础一次并将其映射到网格中的每个单元）可以极大地加快有限元代码的结构和效率。然而，许多著名的有限元，如 Hermite、Morley、Argyris 和 Bell，不具备以标准方式使用参考元素所需的等效性。本文通过研究前推下有限元节点之间的关系，给出了此类有限元映射基的通用方法。
The use of a reference element on which a finite element basis is constructed once and mapped to each cell in a mesh greatly expedites the structure and efficiency of finite element codes. However, many famous finite elements such as Hermite, Morley, Argyris, and Bell, do not possess the kind of equivalence needed to work with a reference element in the standard way. This paper gives a generalizated approach to mapping bases for such finite elements by means of studying relationships between the finite element nodes under push-forward.