3 papers
physics.comp-ph2020
Multigrid preconditioners for the hybridized Discontinuous Galerkin discretisation of the shallow water equations
Jack D. Betteridge, Thomas H. Gibson, Ivan G. Graham +1
Numerical climate- and weather-prediction requires the fast solution of the equations of fluid dynamics. Discontinuous Galerkin (DG) discretisations have several advantageous prope…
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…
cs.MS2018
Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond
Thomas H. Gibson, Lawrence Mitchell, David A. Ham +1
Within the finite element community, discontinuous Galerkin (DG) and mixed finite element methods have become increasingly popular in simulating geophysical flows. However, robust…