# Towards an Implementation of the Periodic Table of Finite Elements

Thursday, October 23, 2014 - 11:00am - 11:30am

Keller 3-180

Anders Logg (Chalmers University of Technology)

The theory of finite element exterior calculus has enabled the

arrangement of a wide selection of well-known finite elements into a

systematic table: the periodic table of finite elements. Much like the

periodic table of chemical elements which clarifies and explains the

properties of the chemical elements based on their electron structure,

the periodic table of finite elements explains the properties of the

finite elements in terms of their mathematical structure.

In this talk, I will present an overview of the status of

implementations of the periodic table of finite elements, including

existing implementations such as the implementation for 1D, 2D and 3D

simplices in FEniCS, an existing prototype implementation for

simplices in arbitrary dimensions in Python, and a newly initiated

project seeking to implement the full periodic table of finite

elements in all its generality using functional programming in

Haskell.

arrangement of a wide selection of well-known finite elements into a

systematic table: the periodic table of finite elements. Much like the

periodic table of chemical elements which clarifies and explains the

properties of the chemical elements based on their electron structure,

the periodic table of finite elements explains the properties of the

finite elements in terms of their mathematical structure.

In this talk, I will present an overview of the status of

implementations of the periodic table of finite elements, including

existing implementations such as the implementation for 1D, 2D and 3D

simplices in FEniCS, an existing prototype implementation for

simplices in arbitrary dimensions in Python, and a newly initiated

project seeking to implement the full periodic table of finite

elements in all its generality using functional programming in

Haskell.

MSC Code:

65M60

Keywords: