A domain-specific language for the hybridization and static condensation of finite element methods. - Thomas H. Gibson; Lawrence Mitchell; David A. Ham; Colin J. Cotter (CoRR, 2018)

Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere. - Jemma Shipton; Thomas H. Gibson; Colin J. Cotter (J. Comput. Phys., 2018)

A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations. - Thomas M. Bendall; Thomas H. Gibson; Jemma Shipton; Colin J. Cotter; Ben Shipway (CoRR, 2019)

Multigrid preconditioners for the hybridized Discontinuous Galerkin discretisation of the shallow water equations. - Jack D. Betteridge; Thomas H. Gibson; Ivan G. Graham; Eike Hermann Müller (CoRR, 2020)

Entropy Stable Discontinuous Galerkin Methods for Balance Laws in Non-Conservative Form: Applications to Euler with Gravity. - Maciej Waruszewski; Jeremy E. Kozdon; Lucas C. Wilcox; Thomas H. Gibson; Francis X. Giraldo (CoRR, 2021)

Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations. - Jack D. Betteridge; Thomas H. Gibson; Ivan G. Graham; Eike Hermann Müller (J. Comput. Phys., 2021)

Hybridised multigrid preconditioners for a compatible finite element dynamical core. - Jack D. Betteridge; Colin J. Cotter; Thomas H. Gibson; Matthew J. Griffith; Thomas Melvin; Eike Hermann Müller (CoRR, 2022)

Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: Applications to the Euler equations with gravity. - Maciej Waruszewski; Jeremy E. Kozdon; Lucas C. Wilcox; Thomas H. Gibson; Francis X. Giraldo (J. Comput. Phys., 2022)