265 citations · 601 across the 26 of their papers we have counts for
4 papers · 1 filter
Exposing and exploiting structure: optimal code generation for high-order finite element methods
Miklós Homolya, Robert C. Kirby, David A. Ham
Code generation based software platforms, such as Firedrake, have become popular tools for developing complicated finite element discretisations of partial differential equations.…
A general approach to transforming finite elements
Robert C. Kirby
The use of a reference element on which a finite element basis is constructed once and mapped to each cell in a mesh greatly expedites the structure and efficiency of finite elemen…
Mixed finite elements for global tide models with nonlinear damping
Colin J. Cotter, P. Jameson Graber, Robert C. Kirby
We study mixed finite element methods for the rotating shallow water equations with linearized momentum terms but nonlinear drag. By means of an equivalent second-order formulation…
Solver composition across the PDE/linear algebra barrier
Robert C. Kirby, Lawrence Mitchell
The efficient solution of discretisations of coupled systems of partial differential equations (PDEs) is at the core of much of numerical simulation. Significant effort has been ex…