Common and Unusual Finite Elements
Common and Unusual Finite Elements
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DOI：
10.1007/978-3-642-23099-8_3
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
R. Kirby;A. Logg;A. Logg;M. Rognes;A. Terrel
中科院分区：
文献类型：
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作者：
R. Kirby;A. Logg;A. Logg;M. Rognes;A. Terrel
本章提供了在文献中有限元素的相当大范围的一瞥。这里呈现的许多元素已经作为FEniCS项目的一部分实现了；有些是未来的工作。有限元素的范围远远超出了我们在这里所考虑的范围。特别地，我们只考虑简单的、基于多项式的元素。因此，我们绕过了在四边形和六面体上定义的元素、复合元素和宏元素技术以及xfem类型的方法。即使在基于多项式的单形元素中，元素列表也可以扩展。尽管如此，本章还是介绍了一些最常见的和一些更不寻常的有限元素的综合集合。
This chapter provides a glimpse of the considerable range of finite elements in the literature. Many of the elements presented here are implemented as part of the FEniCS project already; some are future work. The universe of finite elements extends far beyond what we consider here. In particular, we consider only simplicial, polynomial-based elements. We thus bypass elements defined on quadrilaterals and hexahedra, composite and macro-element techniques, as well as XFEM-type methods. Even among polynomial-based elements on simplices, the list of elements can be extended. Nonetheless, this chapter presents a comprehensive collection of some the most common, and some more unusual, finite elements.