4 papers
A study of vectorization for matrix-free finite element methods
Tianjiao Sun, Lawrence Mitchell, Kaushik Kulkarni +3
Vectorization is increasingly important to achieve high performance on modern hardware with SIMD instructions. Assembly of matrices and vectors in the finite element method, which…
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…
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…