4 papers
Automated Galerkin time stepping in Irksome
Boris D. Andrews, Pablo Brubeck, Patrick E. Farrell +2
As the study of temporal and spatial discretization schemes continues to advance, recent work has focused on the use of Galerkin-in-time discretization schemes that enable broader…
Fast solvers for the high-order FEM simplicial de Rham complex: Extended edition
Pablo D. Brubeck, Patrick E. Farrell, Robert C. Kirby +1
We present new finite elements for solving the Riesz maps of the de Rham complex on triangular and tetrahedral meshes at high order. The finite elements discretize the same spaces…
FIAT: enabling classical and modern macroelements
Pablo D. Brubeck, Robert C. Kirby
Many classical and modern finite element spaces are derived by dividing each computational cell into finer pieces. Such \emph{macroelements} frequently enable the enforcement of ma…
FIAT: improving performance and accuracy for high-order finite elements
Pablo D. Brubeck, Robert C. Kirby, Fabian Laakmann +1
FIAT (the FInite element Automatic Tabulator) provides a powerful Python library for the generation and evaluation of finite element basis functions on a reference element. This re…