66 citations · 189 across the 10 of their papers we have counts for
6 papers · 1 filter
A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data
Andreas Bock, Colin Cotter
We apply the nonconforming discretisation of Wu and Xu (2019) to the tri-Helmholtz equation on the plane where the source term is a functional evaluating the test function on a one…
Space-time metamorphosis
Andreas Bock, Colin Cotter
We study the problem of registering images. The framework we use is metamorphosis and we construct a variational Eulerian space-time setting and pose the registration problem as an…
A structure-preserving approximation of the discrete split rotating shallow water equations
Werner Bauer, Jörn Behrens, Colin J. Cotter
We introduce an efficient split finite element (FE) discretization of a y-independent (slice) model of the rotating shallow water equations. The study of this slice model provides…
A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations
Thomas M. Bendall, Thomas H. Gibson, Jemma Shipton +2
We present new discretisation of the moist compressible Euler equations, using the compatible finite element framework identified in Cotter and Shipton (2012). The discretisation s…
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise
Colin Cotter, Dan Crisan, Darryl Holm +2
This paper contains the latest installment of the authors' project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algori…
Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation
Thomas M. Bendall, Colin J. Cotter, Darryl D. Holm
A famous feature of the Camassa-Holm equation is its admission of peaked soliton solutions known as peakons. We investigate this equation under the influence of stochastic transpor…