525 citations · 1.2k across the 24 of their papers we have counts for
4 papers · 1 filter
An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at high Reynolds number
Patrick E. Farrell, Lawrence Mitchell, Florian Wechsung
In Benzi & Olshanskii (SIAM J.~Sci.~Comput., 28(6) (2006)) a preconditioner of augmented Lagrangian type was presented for the two-dimensional stationary incompressible Navier--Sto…
Automated shape differentiation in the Unified Form Language
David A. Ham, Lawrence Mitchell, Alberto Paganini +1
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (Alnæs et al., ACM Trans. Math. Softw., 2014) by introducing an appropriate additional…
Code generation for generally mapped finite elements
Robert C. Kirby, Lawrence Mitchell
Many classical finite elements such as the Argyris and Bell elements have long been absent from high-level PDE software. Building on recent theoretical work, we describe how to imp…
Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond
Thomas H. Gibson, Lawrence Mitchell, David A. Ham +1
Within the finite element community, discontinuous Galerkin (DG) and mixed finite element methods have become increasingly popular in simulating geophysical flows. However, robust…