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Common and Unusual Finite Elements

Robert C. Kirby ; Anders Logg (Institutionen för matematiska vetenskaper, matematik) ; Marie E. Rognes ; Andy R. Terrel
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.) p. 95-119. (2012)
[Kapitel]

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.



Denna post skapades 2014-01-05. Senast ändrad 2014-09-29.
CPL Pubid: 191184

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik
Beräkningsmatematik

Chalmers infrastruktur