525 citations · 882 across the 9 of their papers we have counts for
3 papers · 1 filter
Automated generation and symbolic manipulation of tensor product finite elements
Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell +2
We describe and implement a symbolic algebra for scalar and vector-valued finite elements, enabling the computer generation of elements with tensor product structure on quadrilater…
On the shallow atmosphere approximation in finite element dynamical cores
C. J. Cotter, D. A. Ham, A. T. T. McRae +2
We provide an approach to implementing the shallow atmosphere approximation in three dimensional finite element discretisations for dynamical cores. The approach makes use of the f…
Compatible finite element methods for numerical weather prediction
C. J. Cotter, A. T. T. McRae
This article takes the form of a tutorial on the use of a particular class of mixed finite element methods, which can be thought of as the finite element extension of the C-grid st…