70 citations · 148 across the 8 of their papers we have counts for
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math.NA2024★ 1 cited
A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
Thomas Melvin, Ben Shipway, Nigel Wood +11
The reformulation of the Met Office's dynamical core for weather and climate prediction previously described by the authors is extended to spherical domains using a cubed-sphere me…
math.NA2014★ 49 cited
A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes
John Thuburn, Colin J. Cotter
A new numerical method is presented for solving the rotating shallow water equations on a rotating sphere using quasi-uniform polygonal meshes. The method uses special families of…
math.NA2012★ 1 cited
A finite element exterior calculus framework for the rotating shallow-water equations
C. J. Cotter, J. Thuburn
We describe discretisations of the shallow water equations on the sphere using the framework of finite element exterior calculus, which are extensions of the mimetic finite differe…