FIAT: numerical construction of finite element basis functions

Abstract

The FIAT project [Kirby, 2004, 2006a] implements the mathematical framework described in 7423 Chapter 4 as a Python package, working mainly in terms of numerical linear algebra. Although an 7424 implementation in floating-point arithmetic presents some challenges relative to symbolic computation, 7425 it can allow greater efficiency in terms of work and memory usage, especially for high order elements.