2 papers
math.NA2019
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…
math.NA2019
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…