Campuses:

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.
MSC Code: 
65M60
Keywords: