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2020 – today
- 2022
[j15]Fabian Laakmann
, Patrick E. Farrell, Lawrence Mitchell:
An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers. SIAM J. Sci. Comput. 44(4): 1018- (2022)- [j14]Justin Crum, Cyrus Cheng, David A. Ham, Lawrence Mitchell, Robert C. Kirby, Joshua A. Levine, Andrew Gillette:
Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake. ACM Trans. Math. Softw. 48(1): 8:1-8:19 (2022) - [i19]Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott:
Two conjectures on the Stokes complex in three dimensions on Freudenthal meshes. CoRR abs/2211.05494 (2022) - 2021
- [j13]Patrick E. Farrell, Matthew G. Knepley, Lawrence Mitchell, Florian Wechsung:
PCPATCH: Software for the Topological Construction of Multigrid Relaxation Methods. ACM Trans. Math. Softw. 47(3): 25:1-25:22 (2021) - [i18]Justin Crum, Cyrus Cheng, David A. Ham, Lawrence Mitchell, Robert C. Kirby, Joshua A. Levine, Andrew Gillette:
Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake. CoRR abs/2104.12986 (2021) - [i17]Fabian Laakmann, Patrick E. Farrell, Lawrence Mitchell:
An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers. CoRR abs/2104.14855 (2021) - 2020
- [j12]Tianjiao Sun, Lawrence Mitchell, Kaushik Kulkarni, Andreas Klöckner, David A. Ham, Paul H. J. Kelly:
A study of vectorization for matrix-free finite element methods. Int. J. High Perform. Comput. Appl. 34(6) (2020) - [i16]Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott, Florian Wechsung:
Robust multigrid methods for nearly incompressible elasticity using macro elements. CoRR abs/2002.02051 (2020) - [i15]Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott, Florian Wechsung:
A Reynolds-robust preconditioner for the Reynolds-robust Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations. CoRR abs/2004.09398 (2020)
2010 – 2019
- 2019
- [j11]Patrick E. Farrell, Lawrence Mitchell, Florian Wechsung:
An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier-Stokes Equations at High Reynolds Number. SIAM J. Sci. Comput. 41(5): A3073-A3096 (2019) - [j10]Robert C. Kirby, Lawrence Mitchell:
Code Generation for Generally Mapped Finite Elements. ACM Trans. Math. Softw. 45(4): 41:1-41:23 (2019) - [i14]Tianjiao Sun, Lawrence Mitchell, Kaushik Kulkarni, Andreas Klöckner, David A. Ham, Paul H. J. Kelly:
A study of vectorization for matrix-free finite element methods. CoRR abs/1903.08243 (2019) - [i13]Patrick E. Farrell, Matthew G. Knepley, Florian Wechsung, Lawrence Mitchell:
PCPATCH: software for the topological construction of multigrid relaxation methods. CoRR abs/1912.08516 (2019) - 2018
- [j9]Robert C. Kirby, Lawrence Mitchell:
Solver Composition Across the PDE/Linear Algebra Barrier. SIAM J. Sci. Comput. 40(1) (2018) - [j8]Miklós Homolya, Lawrence Mitchell, Fabio Luporini, David A. Ham:
TSFC: A Structure-Preserving Form Compiler. SIAM J. Sci. Comput. 40(3) (2018) - [i12]Thomas H. Gibson, Lawrence Mitchell, David A. Ham, Colin J. Cotter:
A domain-specific language for the hybridization and static condensation of finite element methods. CoRR abs/1802.00303 (2018) - [i11]Robert C. Kirby, Lawrence Mitchell:
Code generation for generally mapped finite elements. CoRR abs/1808.05513 (2018) - 2017
- [j7]Hiroe Yamazaki, Jemma Shipton, Michael J. P. Cullen, Lawrence Mitchell, Colin J. Cotter:
Vertical slice modelling of nonlinear Eady waves using a compatible finite element method. J. Comput. Phys. 343: 130-149 (2017) - [j6]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:
Firedrake: Automating the Finite Element Method by Composing Abstractions. ACM Trans. Math. Softw. 43(3): 24:1-24:27 (2017) - [i10]Miklós Homolya, Lawrence Mitchell, Fabio Luporini, David A. Ham:
TSFC: a structure-preserving form compiler. CoRR abs/1705.03667 (2017) - [i9]Robert C. Kirby, Lawrence Mitchell:
Solver composition across the PDE/linear algebra barrier. CoRR abs/1706.01346 (2017) - 2016
- [j5]Lawrence Mitchell, Eike Hermann Müller:
High level implementation of geometric multigrid solvers for finite element problems: Applications in atmospheric modelling. J. Comput. Phys. 327: 1-18 (2016) - [j4]Michael Lange, Lawrence Mitchell, Matthew G. Knepley, Gerard J. Gorman:
Efficient Mesh Management in Firedrake Using PETSc DMPlex. SIAM J. Sci. Comput. 38(5) (2016) - [j3]Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell, David A. Ham, Colin J. Cotter:
Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements. SIAM J. Sci. Comput. 38(5) (2016) - [i8]Gheorghe-Teodor Bercea, Andrew T. T. McRae, David A. Ham, Lawrence Mitchell, Florian Rathgeber, Luigi Nardi, Fabio Luporini, Paul H. J. Kelly:
A numbering algorithm for finite element on extruded meshes which avoids the unstructured mesh penalty. CoRR abs/1604.05937 (2016) - [i7]Lawrence Mitchell, Eike Hermann Müller:
High level implementation of geometric multigrid solvers for finite element problems: applications in atmospheric modelling. CoRR abs/1605.00492 (2016) - 2015
- [i6]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:
Firedrake: automating the finite element method by composing abstractions. CoRR abs/1501.01809 (2015) - [i5]Michael Lange, Lawrence Mitchell, Matthew G. Knepley, Gerard J. Gorman:
Efficient mesh management in Firedrake using PETSc-DMPlex. CoRR abs/1506.07749 (2015) - 2014
- [j2]Lawrence Mitchell, Terence M. Sloan, Muriel Mewissen, Peter Ghazal, Thorsten Forster, Michal Piotrowski, Arthur S. Trew:
Parallel classification and feature selection in microarray data using SPRINT. Concurr. Comput. Pract. Exp. 26(4): 854-865 (2014) - [i4]Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell, David A. Ham, Colin J. Cotter:
Automated generation and symbolic manipulation of tensor product finite elements. CoRR abs/1411.2940 (2014) - 2013
- [c4]Michael Lange, Gerard Gorman, Michèle Weiland, Lawrence Mitchell, James Southern:
Achieving Efficient Strong Scaling with PETSc Using Hybrid MPI/OpenMP Optimisation. ISC 2013: 97-108 - [c3]Graham R. Markall, Florian Rathgeber, Lawrence Mitchell, Nicolas Loriant, Carlo Bertolli, David A. Ham, Paul H. J. Kelly:
Performance-Portable Finite Element Assembly Using PyOP2 and FEniCS. ISC 2013: 279-289 - [i3]Michael Lange, Gerard Gorman, Michèle Weiland, Lawrence Mitchell, James Southern:
Achieving Efficient Strong Scaling with PETSc using Hybrid MPI/OpenMP Optimisation. CoRR abs/1303.5275 (2013) - [i2]Michael Lange, Gerard Gorman, Michèle Weiland, Lawrence Mitchell, Xiaohu Guo, James Southern:
Benchmarking mixed-mode PETSc performance on high-performance architectures. CoRR abs/1307.4567 (2013) - 2012
- [j1]Aurel Neic, Manfred Liebmann, Elena Hoetzl, Lawrence Mitchell, Edward J. Vigmond, Gundolf Haase, Gernot Plank:
Accelerating Cardiac Bidomain Simulations Using Graphics Processing Units. IEEE Trans. Biomed. Eng. 59(8): 2281-2290 (2012) - [c2]Florian Rathgeber, Graham R. Markall, Lawrence Mitchell, Nicolas Loriant, David A. Ham, Carlo Bertolli, Paul H. J. Kelly:
PyOP2: A High-Level Framework for Performance-Portable Simulations on Unstructured Meshes. SC Companion 2012: 1116-1123 - [i1]Michèle Weiland, Lawrence Mitchell, Gerard Gorman, Stephan Kramer, Mark Parsons, James Southern:
Mixed-mode implementation of PETSc for scalable linear algebra on multi-core processors. CoRR abs/1205.2005 (2012) - 2011
- [c1]Michal Piotrowski, Terence M. Sloan, Muriel Mewissen, Thorsten Forster, Lawrence Mitchell, Savvas Petrou, Bartosz Dobrzelecki, Peter Ghazal, Arthur S. Trew, Jon Hill:
Optimisation and parallelisation of the partitioning around medoids function in R. HPCS 2011: 707-713
Coauthor Index
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