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Lawrence Mitchell
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Firedrake: automating the finite element method by composing abstractions
F Rathgeber, DA Ham, L Mitchell, M Lange, F Luporini, ATT McRae, ...
ACM Transactions on Mathematical Software (TOMS) 43 (3), 1-27, 2016
7092016
PETSc/TAO users manual
S Balay, S Abhyankar, MF Adams, S Benson, J Brown, P Brune, ...
Argonne National Laboratory, Illinois, 2022
363*2022
Simulating human cardiac electrophysiology on clinical time-scales
S Niederer, L Mitchell, N Smith, G Plank
Frontiers in physiology 2, 14, 2011
1442011
Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations
T Kärnä, SC Kramer, L Mitchell, DA Ham, MD Piggott, AM Baptista
Geoscientific Model Development 11 (11), 4359-4382, 2018
1182018
An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds Number
PE Farrell, L Mitchell, F Wechsung
SIAM Journal on Scientific Computing 41 (5), A3073-A3096, 2019
1022019
PyOP2: A high-level framework for performance-portable simulations on unstructured meshes
F Rathgeber, GR Markall, L Mitchell, N Loriant, DA Ham, C Bertolli, ...
2012 SC Companion: High Performance Computing, Networking Storage and …, 2012
962012
Automated generation and symbolic manipulation of tensor product finite elements
ATT McRae, GT Bercea, L Mitchell, DA Ham, CJ Cotter
SIAM Journal on Scientific Computing 38 (5), S25-S47, 2016
842016
Solver composition across the PDE/linear algebra barrier
RC Kirby, L Mitchell
SIAM Journal on Scientific Computing 40 (1), C76-C98, 2018
772018
Accelerating cardiac bidomain simulations using Graphics Processing Units
G Plank, A Neic, M Liebmann, E Hoetzl, L Mitchell, E Vigmond, G Haase
IEEE, 2012
762012
TSFC: a structure-preserving form compiler
M Homolya, L Mitchell, F Luporini, DA Ham
SIAM Journal on Scientific Computing 40 (3), C401-C428, 2018
692018
Efficient Mesh Management in Firedrake Using PETSc DMPlex
M Lange, L Mitchell, MG Knepley, GJ Gorman
SIAM Journal on Scientific Computing 38 (5), S143-S155, 2016
642016
Firedrake user manual
DA Ham, PHJ Kelly, L Mitchell, CJ Cotter, RC Kirby, K Sagiyama, ...
Imperial College London and University of Oxford and Baylor University and …, 2023
602023
PCPATCH: software for the topological construction of multigrid relaxation methods
PE Farrell, MG Knepley, L Mitchell, F Wechsung
ACM Transactions on Mathematical Software (TOMS) 47 (3), 1-22, 2021
532021
Developing a scalable hybrid MPI/OpenMP unstructured finite element model
X Guo, M Lange, G Gorman, L Mitchell, M Weiland
Computers & Fluids 110, 227-234, 2015
512015
PETSc Web page; 2022
S Balay, S Abhyankar, MF Adams, S Benson, J Brown, P Brune, ...
URL https://petsc. org, 2023
502023
A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake
GT Bercea, ATT McRae, DA Ham, L Mitchell, F Rathgeber, L Nardi, ...
arXiv preprint arXiv:1604.05937, 2016
47*2016
A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations
PE Farrell, L Mitchell, LR Scott, F Wechsung
SMAI Journal of Computational Mathematics, 2021
46*2021
Hawkes process as a model of social interactions: a view on video dynamics
L Mitchell, ME Cates
Journal of Physics A: Mathematical and Theoretical 43 (4), 045101, 2009
462009
Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond.
TH Gibson, L Mitchell, DA Ham, CJ Cotter
Geoscientific model development. 13 (2), 735-761, 2020
41*2020
Code Generation for Generally Mapped Finite Elements
RC Kirby, L Mitchell
ACM Transactions on Mathematical Software (TOMS) 45 (4), 1-23, 2019
332019
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Articles 1–20