112 citations · 1.1k across the 65 of their papers we have counts for
4 papers · 1 filter
Geodesic boundary value problems with symmetry
C. J. Cotter, D. D. Holm
This paper shows how left and right actions of Lie groups on a manifold may be used to complement one another in a variational reformulation of optimal control problems equivalentl…
Solving the Poisson equation on small aspect ratio domains using unstructured meshes
S. C. Kramer, C. J. Cotter, C. C. Pain
We discuss the ill conditioning of the matrix for the discretised Poisson equation in the small aspect ratio limit, and motivate this problem in the context of nonhydrostatic ocean…
A family of mixed finite element pairs with optimal geostrophic balance
C. J. Cotter
We introduce a family of mixed finite element pairs for use on geodesic grids and with adaptive mesh refinement for numerical weather prediction and ocean modelling. We prove that…
Estimating eddy diffusivities from noisy Lagrangian observations
C. J. Cotter, G. A. Pavliotis
The problem of estimating the eddy diffusivity from Lagrangian observations in the presence of measurement error is studied in this paper. We consider a class of incompressible vel…