Lawrence Mitchell

According to our database, Lawrence Mitchell authored at least 27 papers between 2011 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes.

Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott

SIAM J. Sci. Comput., 2024

Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations.

David A. Ham, Vaclav Hapla, Matthew G. Knepley, Lawrence Mitchell, Koki Sagiyama

CoRR, 2024

2022

An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers.

Fabian Laakmann, Patrick E. Farrell, Lawrence Mitchell

SIAM J. Sci. Comput., August, 2022

Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake.

Justin Crum, Cyrus Cheng, David A. Ham, Lawrence Mitchell, Robert C. Kirby, Joshua A. Levine, Andrew Gillette

ACM Trans. Math. Softw., 2022

2021

PCPATCH: Software for the Topological Construction of Multigrid Relaxation Methods.

Patrick E. Farrell, Matthew G. Knepley, Lawrence Mitchell, Florian Wechsung

ACM Trans. Math. Softw., 2021

2020

A study of vectorization for matrix-free finite element methods.

Tianjiao Sun, Lawrence Mitchell, Kaushik Kulkarni, Andreas Klöckner, David A. Ham, Paul H. J. Kelly

Int. J. High Perform. Comput. Appl., 2020

A Reynolds-robust preconditioner for the Reynolds-robust Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations.

Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott, Florian Wechsung

CoRR, 2020

Robust multigrid methods for nearly incompressible elasticity using macro elements.

Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott, Florian Wechsung

CoRR, 2020

2019

Code Generation for Generally Mapped Finite Elements.

Robert C. Kirby, Lawrence Mitchell

ACM Trans. Math. Softw., 2019

An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier-Stokes Equations at High Reynolds Number.

Patrick E. Farrell, Lawrence Mitchell, Florian Wechsung

SIAM J. Sci. Comput., 2019

2018

Solver Composition Across the PDE/Linear Algebra Barrier.

Robert C. Kirby, Lawrence Mitchell

SIAM J. Sci. Comput., 2018

TSFC: A Structure-Preserving Form Compiler.

Miklós Homolya, Lawrence Mitchell, Fabio Luporini, David A. Ham

SIAM J. Sci. Comput., 2018

A domain-specific language for the hybridization and static condensation of finite element methods.

Thomas H. Gibson, Lawrence Mitchell, David A. Ham, Colin J. Cotter

CoRR, 2018

2017

Firedrake: Automating the Finite Element Method by Composing Abstractions.

Florian Rathgeber, David A. Ham, Lawrence Mitchell, Michael Lange, Fabio Luporini, Andrew T. T. McRae, Gheorghe-Teodor Bercea, Graham R. Markall, Paul H. J. Kelly

ACM Trans. Math. Softw., 2017

Vertical slice modelling of nonlinear Eady waves using a compatible finite element method.

Hiroe Yamazaki, Jemma Shipton, Michael J. P. Cullen, Lawrence Mitchell, Colin J. Cotter

J. Comput. Phys., 2017

2016

Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements.

Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell, David A. Ham, Colin J. Cotter

SIAM J. Sci. Comput., 2016

Efficient Mesh Management in Firedrake Using PETSc DMPlex.

Michael Lange, Lawrence Mitchell, Matthew G. Knepley, Gerard J. Gorman

SIAM J. Sci. Comput., 2016

High level implementation of geometric multigrid solvers for finite element problems: Applications in atmospheric modelling.

Lawrence Mitchell, Eike Hermann Müller

J. Comput. Phys., 2016

A numbering algorithm for finite element on extruded meshes which avoids the unstructured mesh penalty.

Gheorghe-Teodor Bercea, Andrew T. T. McRae, David A. Ham, Lawrence Mitchell, Florian Rathgeber, Luigi Nardi, Fabio Luporini, Paul H. J. Kelly

CoRR, 2016

2014

Parallel classification and feature selection in microarray data using SPRINT.

Lawrence Mitchell, Terence M. Sloan, Muriel Mewissen, Peter Ghazal, Thorsten Forster, Michal Piotrowski, Arthur S. Trew

Concurr. Comput. Pract. Exp., 2014

2013

Benchmarking mixed-mode PETSc performance on high-performance architectures.

Michael Lange, Gerard Gorman, Michèle Weiland, Lawrence Mitchell, Xiaohu Guo, James Southern

CoRR, 2013

Performance-Portable Finite Element Assembly Using PyOP2 and FEniCS.

Graham R. Markall, Florian Rathgeber, Lawrence Mitchell, Nicolas Loriant, Carlo Bertolli, David A. Ham, Paul H. J. Kelly

Proceedings of the Supercomputing - 28th International Supercomputing Conference, 2013

Achieving Efficient Strong Scaling with PETSc Using Hybrid MPI/OpenMP Optimisation.

Michael Lange, Gerard Gorman, Michèle Weiland, Lawrence Mitchell, James Southern

Proceedings of the Supercomputing - 28th International Supercomputing Conference, 2013

2012

Accelerating Cardiac Bidomain Simulations Using Graphics Processing Units.

Aurel Neic, Manfred Liebmann, Elena Hoetzl, Lawrence Mitchell, Edward J. Vigmond, Gundolf Haase, Gernot Plank

IEEE Trans. Biomed. Eng., 2012

Mixed-mode implementation of PETSc for scalable linear algebra on multi-core processors

Michèle Weiland, Lawrence Mitchell, Gerard Gorman, Stephan Kramer, Mark Parsons, James Southern

CoRR, 2012

PyOP2: A High-Level Framework for Performance-Portable Simulations on Unstructured Meshes.

Florian Rathgeber, Graham R. Markall, Lawrence Mitchell, Nicolas Loriant, David A. Ham, Carlo Bertolli, Paul H. J. Kelly

Proceedings of the 2012 SC Companion: High Performance Computing, 2012

2011

Optimisation and parallelisation of the partitioning around medoids function in R.

Michal Piotrowski, Terence M. Sloan, Muriel Mewissen, Thorsten Forster, Lawrence Mitchell, Savvas Petrou, Bartosz Dobrzelecki, Peter Ghazal, Arthur S. Trew, Jon Hill

Proceedings of the 2011 International Conference on High Performance Computing & Simulation, 2011