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cs.MS2019
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…
cs.MS2018
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…
cs.MS2018
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…