112 citations · 1.1k across the 65 of their papers we have counts for
70 papers
Planar Curve Registration using Bayesian Inversion
Andreas Bock, Colin J. Cotter, Robert C. Kirby
We study parameterisation-independent closed planar curve matching as a Bayesian inverse problem. The motion of the curve is modelled via a curve on the diffeomorphism group acting…
Consistent Point Data Assimilation in Firedrake and Icepack
Reuben W. Nixon-Hill, Daniel Shapero, Colin J. Cotter +1
When estimating quantities and fields that are difficult to measure directly, such as the fluidity of ice, from point data sources, such as satellite altimetry, it is important to…
Compatible finite element methods for geophysical fluid dynamics
Colin J. Cotter
This article surveys research on the application of compatible finite element methods to large scale atmosphere and ocean simulation. Compatible finite element methods extend Araka…
Hybridised multigrid preconditioners for a compatible finite element dynamical core
Jack D. Betteridge, Colin J. Cotter, Thomas H. Gibson +3
Compatible finite element discretisations for the atmospheric equations of motion have recently attracted considerable interest. Semi-implicit timestepping methods require the repe…
A compatible finite element discretisation for the nonhydrostatic vertical slice equations
C. J. Cotter, J. Shipton
We present a compatible finite element discretisation for the vertical slice compressible Euler equations, at next-to-lowest order (i.e., the pressure space is bilinear discontinuo…
Weighted-norm preconditioners for a multi-layer tide model
Colin J. Cotter, Robert C. Kirby, Hunter Morris
We derive a linearized rotating shallow water system modeling tides, which can be discretized by mixed finite elements. Unlike previous models, this model allows for multiple layer…