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Durham University

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Staff Profile

Dr Lawrence Mitchell - all publications

Authored book

  • Gibson, Thomas H., McRae, Andrew T. T., Cotter, Colin J., Mitchell, Lawrence & Ham, David A. (2019). Compatible finite element methods for geophysical flows: automation and implementation using Firedrake. Springer International Publishing.

Chapter in book

  • Markall, Graham R., Rathgeber, Florian, Mitchell, Lawrence, Loriant, Nicolas, Bertolli, Carlo, Ham, David A. & Kelly, Paul H. J. (2013). Performance-Portable Finite Element Assembly Using PyOP2 and FEniCS. In Supercomputing: 28th International Supercomputing Conference, ISC 2013, Leipzig, Germany, June 16-20, 2013. Proceedings. Kunkel, Julian Martin, Ludwig, Thomas & Meuer, Hans Werner Berlin, Heidelberg: Springer. 7905: 279-289.

Journal Article

  • Farrell, Patrick E., Mitchell, Lawrence, Scott, L. Ridgway & Wechsung, Florian (2021). A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations. SMAI Journal of Computational Mathematics 7: 75-96.
  • Farrell, Patrick E., Knepley, Matthew G., Mitchell, Lawrence & Wechsung, Florian (2021). PCPATCH: software for the topological construction of multigrid relaxation methods. Transactions on Mathematical Software
  • Sun, Tianjiao, Mitchell, Lawrence, Kulkarni, Kaushik, Klöckner, Andreas, Ham, David A & Kelly, Paul H. J. (2020). A study of vectorization for matrix-free finite element methods. International Journal of High Performance Computing Applications 34(6): 629-644.
  • Gibson, Thomas H., Mitchell, Lawrence, Ham, David A. & Cotter, Colin J. (2020). Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond. Geoscientific Model Development 13(2): 735-761.
  • Farrell, Patrick E., Mitchell, Lawrence & Wechsung, Florian (2019). An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at high Reynolds number. SIAM Journal on Scientific Computing 41(5): A3073-A3096.
  • Ham, David A., Mitchell, Lawrence, Paganini, Alberto & Wechsung, Florian (2019). Automated shape differentiation in the Unified Form Language. Structural and Multidisciplinary Optimization 60(5): 1813-1820.
  • Kirby, Robert C & Mitchell, Lawrence (2019). Code generation for generally mapped finite elements. ACM Transactions on Mathematical Software 45(4): 41.
  • Kirby, Robert C. & Mitchell, Lawrence (2018). Solver Composition Across the PDE/Linear Algebra Barrier. SIAM Journal on Scientific Computing 40(1): C76-C98.
  • Kärnä, Tuomas, Kramer, Stephan C., Mitchell, Lawrence, Ham, David A., Piggott, Matthew D. & Baptista, António M. (2018). Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations. Geoscientific Model Development 11(11): 4359-4382.
  • Homolya, Miklós, Mitchell, Lawrence, Luporini, Fabio & Ham, David A. (2018). TSFC: A Structure-Preserving Form Compiler. SIAM Journal on Scientific Computing 40(3): C401-C428.
  • Rathgeber, Florian, Ham, David A., Mitchell, Lawrence, Lange, Michael, Luporini, Fabio, Mcrae, Andrew T. T., Bercea, Gheorghe-Teodor, Markall, Graham R. & Kelly, Paul H. J. (2017). Firedrake: automating the finite element method by composing abstractions. ACM Transactions on Mathematical Software 43(3): 24.
  • Yamazaki, Hiroe, Shipton, Jemma, Cullen, Michael J.P., Mitchell, Lawrence & Cotter, Colin J. (2017). Vertical slice modelling of nonlinear Eady waves using a compatible finite element method. Journal of Computational Physics 343: 130-149.
  • Bercea, Gheorghe-Teodor, McRae, Andrew T. T., Ham, David A., Mitchell, Lawrence, Rathgeber, Florian, Nardi, Luigi, Luporini, Fabio & Kelly, Paul H. J. (2016). A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake. Geoscientific Model Development 9(10): 3803-3815.
  • McRae, A. T. T., Bercea, G.-T., Mitchell, L., Ham, D. A. & Cotter, C. J. (2016). Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements. SIAM Journal on Scientific Computing 38(5): S25-S47.
  • Lange, Michael, Mitchell, Lawrence, Knepley, Matthew G. & Gorman, Gerard J. (2016). Efficient Mesh Management in Firedrake Using PETSc DMPlex. SIAM Journal on Scientific Computing 38(5): S143-S155.
  • Mitchell, Lawrence & Müller, Eike Hermann (2016). High level implementation of geometric multigrid solvers for finite element problems: Applications in atmospheric modelling. Journal of Computational Physics 327: 1-18.
  • Guo, Xiaohu, Lange, Michael, Gorman, Gerard, Mitchell, Lawrence & Weiland, Michèle (2015). Developing a scalable hybrid MPI/OpenMP unstructured finite element model. Computers & Fluids 110: 227-234.
  • Mitchell, Lawrence, Sloan, Terence M., Mewissen, Muriel, Ghazal, Peter, Forster, Thorsten, Piotrowski, Michal & Trew, Arthur (2014). Parallel classification and feature selection in microarray data using SPRINT. Concurrency and Computation: Practice and Experience 26(4): 854-865.
  • Guo, Xiaohu, Gorman, Gerard, Lange, Michael, Mitchell, Lawrence & Weiland, Michèle (2013). Exploring the Thread-level Parallelisms for the Next Generation Geophysical Fluid Modelling Framework Fluidity-ICOM. Procedia Engineering 61: 251-257.
  • Neic, A., Liebmann, M., Hoetzl, E., Mitchell, L., Vigmond, E. J., Haase, G. & Plank, G. (2012). Accelerating Cardiac Bidomain Simulations Using Graphics Processing Units. IEEE Transactions on Biomedical Engineering 59(8): 2281-2290.
  • Piotrowski, M., McGilvary, G. A., Sloan, T. M., Mewissen, M., Lloyd, A. D., Forster, T., Mitchell, L., Ghazal, P. & Hill, J. (2012). Exploiting Parallel R in the Cloud with SPRINT. Methods of Information in Medicine 52(1): 80-90.
  • Plank, Gernot, Smith, Nicolas, Mitchell, Lawrence & Niederer, Steven (2011). Simulating Human Cardiac Electrophysiology on Clinical Time-Scales. Frontiers in Physiology 2: 14.
  • Mitchell, L. & Ackland, G. J. (2009). Boom and bust in continuous time evolving economic model. The European Physical Journal B 70(4): 567-573.
  • Mitchell, Lawrence & Cates, Michael E. (2009). Hawkes process as a model of social interactions: a view on video dynamics. Journal of Physics A: Mathematical and Theoretical 43(4): 045101.
  • Mitchell, L. & Ackland, G. J. (2007). Strategy bifurcation and spatial inhomogeneity in a simple model of competing sellers. Europhysics Letters (EPL) 79(4): 48003.

Conference Paper

  • Rathgeber, Florian, Markall, Graham R., Mitchell, Lawrence, Loriant, Nicolas, Ham, David A., Bertolli, Carlo & Kelly, Paul H.J. (2012), PyOP2: A High-Level Framework for Performance-Portable Simulations on Unstructured Meshes, 2012 SC Companion: High Performance Computing, Networking Storage and Analysis. IEEE, 1116.
  • Mitchell, Lawrence, Sloan, Terence M., Mewissen, Muriel, Ghazal, Peter, Forster, Thorsten, Piotrowski, Michal & Trew, Arthur S. (2011), A parallel random forest classifier for R, 2nd international workshop on Emerging computational methods for the life sciences - ECMLS '11. San Jose, California, USA, Association for Computing Machinery, New York, NY, USA, 1.
  • Piotrowski, Michal, Forster, Thorsten, Dobrezelecki, Bartosz, Sloan, Terence M., Mitchell, Lawrence, Ghazal, Peter, Mewsissen, Muriel, Petrou, Savvas, Trew, Arthur & Hill, Jon (2011), Optimisation and parallelisation of the partitioning around medoids function in R, 2011 International Conference on High Performance Computing & Simulation. 707.

Working Paper

  • Farrell, Patrick E., Mitchell, Lawrence, Scott, L. Ridgway & Wechsung, Florian (2020). Robust multigrid methods for nearly incompressible elasticity using macro elements.