Compatible Finite Element Methods for Geophysical Flows: Automation and Implementation Using Firedrake

This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. Examples guide the reader through problem formulation, discretisation, and automated implementation.

The so-called “compatible” finite element methods possess key numerical properties whi...