525 citations · 1.3k across the 23 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…
COFFEE: an Optimizing Compiler for Finite Element Local Assembly
Fabio Luporini, Ana Lucia Varbanescu, Florian Rathgeber +4
The numerical solution of partial differential equations using the finite element method is one of the key applications of high performance computing. Local assembly is its charact…