[26] | Multiple local minima of PDE-constrained optimisation problems via deflation (P. E. Farrell), 2015. (arXiv:1508.07633 [math.OC]) |

[25] | Deflation techniques for finding distinct solutions of nonlinear partial differential equations (P. E. Farrell, Á. Birkisson, S. W. Funke), In SIAM Journal on Scientific Computing, volume 37, 2015. |

[24] | Distinct solutions of finite-dimensional complementarity problems (M. Croci, P. E. Farrell), 2015. (arXiv:1510.02433 [math.OC]) |

[23] | Rapid development and adjoining of transient finite element models (J. R. Maddison, P. E. Farrell), In Computer Methods in Applied Mechanics and Engineering, volume 276, 2014. |

[22] | Assessment of spurious mixing in adaptive mesh simulations of the two-dimensional lock-exchange (H. R. Hiester, M. D. Piggott, P. E. Farrell, P. A. Allison), In Ocean Modelling, volume 73, 2014. |

[21] | Tidal turbine array optimisation using the adjoint approach (S. W. Funke, P. E. Farrell, M. D. Piggott), In Renewable Energy, volume 63, 2014. |

[20] | A framework for the automation of generalised stability theory (P. E. Farrell, C. J. Cotter, S. W. Funke), In SIAM Journal on Scientific Computing, volume 36, 2014. |

[19] | The immersed body supermeshing method for modelling reactor physics problems with complex internal structures (A. G. Buchan, P. E. Farrell, G. J. Gorman, A. J. H. Goddard, M. D. Eaton, E. T. Nygaard, P. L. Angelo, R. P. Smedley-Stevenson, S. R. Merton, P. N. Smith), In Annals of Nuclear Energy, volume 63, 2014. |

[18] | Automated derivation of the adjoint of high-level transient finite element programs (P. E. Farrell, D. A. Ham, S. W. Funke, M. E. Rognes), In SIAM Journal on Scientific Computing, volume 35, 2013. |

[17] | Multimesh anisotropic adaptivity for the Boltzmann transport equation (C. M. J. Baker, A. G. Buchan, C. C. Pain, P. E. Farrell, M. D. Eaton, P. Warner), In Annals of Nuclear Energy, volume 53, 2013. |

[16] | Modelling of fluidâ€“solid interactions using an adaptive mesh fluid model coupled with a combined finiteâ€“discrete element model (A. Viré, J. Xiang, F. Milthaler, P. E. Farrell, M. D. Piggott, J.-P. Latham, D. Pavlidis, C. C. Pain), In Ocean Dynamics, volume 62, 2012. |

[15] | Parallel anisotropic mesh adaptivity with dynamic load balancing for cardiac electrophysiology (J. Southern, G.J. Gorman, M.D. Piggott, P. E. Farrell), In Journal of Computational Science, volume 3, 2012. |

[14] | Directional integration on unstructured meshes via supermesh construction (J. R. Maddison, P. E. Farrell), In Journal of Computational Physics, volume 231, 2012. |

[13] | Hybrid OpenMP/MPI anisotropic mesh smoothing (G. J. Gorman, J. Southern, P. E. Farrell, M. D. Piggott, G. Rokos, P. H. J. Kelly), In Procedia Computer Science, volume 9, 2012. |

[12] | Geostrophic balance preserving interpolation in mesh adaptive linearised shallow-water ocean modelling (J. R. Maddison, C. J. Cotter, P. E. Farrell), In Ocean Modelling, 2011. |

[11] | The addition of fields on different meshes (P. E. Farrell), In Journal of Computational Physics, volume 230, 2011. |

[10] | Automated continuous verification for numerical simulation (P. E. Farrell, M. D. Piggott, G. J. Gorman, D. A. Ham, C. R. Wilson, T. M. Bond), In Geoscientific Model Development, volume 4, 2011. |

[9] | An anisotropic Zienkiewicz-Zhu error estimator for 3D applications (P. E. Farrell, S. Micheletti, S. Perotto), In International Journal for Numerical Methods in Engineering, volume 85, 2011. |

[8] | Conservative interpolation between volume meshes by local Galerkin projection (P. E. Farrell, J. R. Maddison), In Computer Methods in Applied Mechanics and Engineering, volume 200, 2011. |

[7] | Simulating cardiac electrophysiology using anisotropic mesh adaptivity (J. Southern, G. J. Gorman, M. D. Piggott, P. E. Farrell, M. O. Bernabeu, J. Pitt-Francis), In Journal of Computational Science, volume 1, 2010. |

[6] | Anisotropic mesh adaptivity for cardiac electrophysiology (J. Southern, G. J. Gorman, M. D. Piggott, P. E. Farrell, M. O. Bernabeu, J. Pitt-Francis), In Procedia Computer Science, volume 1, 2010. |

[5] | Anisotropic mesh adaptivity for multi-scale ocean modelling (M. D. Piggott, P. E. Farrell, C. R. Wilson, G. J. Gorman, C. C. Pain), In Philosophical Transactions of the Royal Society A, volume 367, 2009. |

[4] | Spud 1.0: generalising and automating the user interfaces of scientific computer models (D. A. Ham, P. E. Farrell, G. J. Gorman, J. R. Maddison, C. R. Wilson, S. C. Kramer, J. Shipton, G. S. Collins, C. J. Cotter, M. D. Piggott), In Geoscientific Model Development, volume 2, 2009. |

[3] | Conservative interpolation between unstructured meshes via supermesh construction (P. E. Farrell, M. D. Piggott, C. C. Pain, G. J Gorman, C. R. G. Wilson), In Computer Methods in Applied Mechanics and Engineering, volume 198, 2009. |

[2] | A POD reduced order unstructured mesh ocean modelling method for moderate Reynolds number flows (F. Fang, C. C. Pain, I. M. Navon, G. J. Gorman, M. D. Piggott, P. A. Allison, P. E. Farrell, A. J. H. Goddard), In Ocean Modelling, volume 28, 2009. |

[1] | A POD reduced-order 4D-Var adaptive mesh ocean modelling approach (F. Fang, C. C. Pain, I. M. Navon, M. D. Piggott, G. J. Gorman, P. E. Farrell, P. A. Allison, A. J. H. Goddard), In International Journal for Numerical Methods in Fluids, volume 60, 2008. |