Common and Unusual Finite Elements
Book chapter, 2012

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.

Author

Robert C. Kirby

Anders Logg

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Marie E. Rognes

Andy R. Terrel

Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.)

95-119

Subject Categories

Mathematics

Computational Mathematics

DOI

10.1007/978-3-642-23099-8_3

ISBN

978-3-642-23098-1

More information

Created

10/7/2017