A Local Spectral Exterior Calculus for the Sphere and Application to the Shallow Water Equations

Clauson Carvalho da Silva, Christian Lessig, Boyko Dodov +2

We introduce $\Psi \mathrm{ec}$, a local spectral exterior calculus for the two-sphere $S^2$. $\Psi \mathrm{ec}$ provides a discretization of Cartan's exterior calculus on $S^2$ formed by…