FEEC
Finite element exterior calculus (FEEC) is a mathematical framework for the design and analysis of finite element methods that respects the differential-geometric structure of partial differential equations. It combines finite element methods with exterior calculus and de Rham cohomology to develop discrete spaces and operators that preserve key geometric and topological properties of the continuous problem, such as exact sequences and conservation laws.
FEEC originated in the early 2000s through the work of Douglas N. Arnold, Richard Falk, and Ragnar
The mathematical framework centers on the de Rham sequence of differential forms connected by the exterior
FEEC has been influential in the numerical solution of Maxwell’s equations, incompressible fluid flow, elasticity, and