14 citations · 15 across the 11 of their papers we have counts for
5 papers · 1 filter
Accelerated implicitization: Robust fixed-point iterations arising from an explicit scheme
Nicolas A. Barnafi, Felipe Galarce, Pablo Brubeck
This work proposes a general strategy for solving possibly nonlinear problems arising from implicit time discretizations as a sequence of explicit solutions. The resulting sequence…
Automated Runge-Kutta-Nyström time stepping for finite element methods in Irksome
Robert C. Kirby, Scott P. MacLachlan, Pablo D. Brubeck
Irksome is a library based on the Unified Form Language (UFL) that automates the application of Runge-Kutta time-stepping methods for finite element spatial discretizations of part…
DefElement: an encyclopedia of finite element definitions
Matthew W. Scroggs, Pablo D. Brubeck, Joseph P. Dean +2
DefElement is an online encyclopedia of finite element definitions that was created and is maintained by the authors of this paper. DefElement aims to make information about elemen…
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…