| Conservative interpolation between volume meshes by local Galerkin projection PE Farrell, JR Maddison Computer Methods in Applied Mechanics and Engineering 200 (1-4), 89-100, 2011 | 414 | 2011 |
| Automated derivation of the adjoint of high-level transient finite element programs PE Farrell, DA Ham, SW Funke, ME Rognes SIAM Journal on Scientific Computing 35 (4), C369-C393, 2013 | 347 | 2013 |
| Tidal turbine array optimisation using the adjoint approach SW Funke, PE Farrell, MD Piggott Renewable Energy 63, 658-673, 2014 | 241 | 2014 |
| Conservative interpolation between unstructured meshes via supermesh construction PE Farrell, MD Piggott, CC Pain, GJ Gorman, CR Wilson Computer Methods in Applied Mechanics and Engineering 198 (33-36), 2632-2642, 2009 | 216 | 2009 |
| Linear and nonlinear solvers for variational phase‐field models of brittle fracture P Farrell, C Maurini International Journal for Numerical Methods in Engineering 109 (5), 648-667, 2017 | 162 | 2017 |
| Geometric MCMC for infinite-dimensional inverse problems A Beskos, M Girolami, S Lan, PE Farrell, AM Stuart Journal of Computational Physics 335, 327-351, 2017 | 159 | 2017 |
| Deflation techniques for finding distinct solutions of nonlinear partial differential equations PE Farrell, A Birkisson, SW Funke SIAM Journal on Scientific Computing 37 (4), A2026-A2045, 2015 | 155 | 2015 |
| Anisotropic mesh adaptivity for multi-scale ocean modelling MD Piggott, PE Farrell, CR Wilson, GJ Gorman, CC Pain Philosophical Transactions of the Royal Society of London A: Mathematical …, 2009 | 101 | 2009 |
| An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at high Reynolds number PE Farrell, L Mitchell, F Wechsung arXiv preprint arXiv:1810.03315, 2018 | 95 | 2018 |
| A framework for automated PDE-constrained optimisation SW Funke, PE Farrell arXiv preprint arXiv:1302.3894, 2013 | 77 | 2013 |
| A POD reduced order unstructured mesh ocean modelling method for moderate Reynolds number flows F Fang, CC Pain, IM Navon, GJ Gorman, MD Piggott, PA Allison, ... Ocean modelling 28 (1-3), 127-136, 2009 | 74 | 2009 |
| A POD reduced‐order 4D‐Var adaptive mesh ocean modelling approach F Fang, CC Pain, IM Navon, MD Piggott, GJ Gorman, PE Farrell, ... International Journal for Numerical Methods in Fluids 60 (7), 709-732, 2009 | 72 | 2009 |
| From molecular to continuum modelling of bistable liquid crystal devices M Robinson, C Luo, PE Farrell, R Erban, A Majumdar Liquid Crystals 44 (14-15), 2267-2284, 2017 | 50 | 2017 |
| Modelling of fluid–solid interactions using an adaptive mesh fluid model coupled with a combined finite–discrete element model A Viré, J Xiang, F Milthaler, PE Farrell, MD Piggott, JP Latham, D Pavlidis, ... Ocean Dynamics 62, 1487-1501, 2012 | 50 | 2012 |
| Computing stationary solutions of the two-dimensional Gross–Pitaevskii equation with deflated continuation EG Charalampidis, PG Kevrekidis, PE Farrell Communications in Nonlinear Science and Numerical Simulation 54, 482-499, 2018 | 46 | 2018 |
| 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 | 45 | 2021 |
| An anisotropic Zienkiewicz–Zhu‐type error estimator for 3D applications PE Farrell, S Micheletti, S Perotto International journal for numerical methods in engineering 85 (6), 671-692, 2011 | 44 | 2011 |
| Automated continuous verification for numerical simulation PE Farrell, MD Piggott, GJ Gorman, DA Ham, CR Wilson, TM Bond Geoscientific Model Development 4 (2), 435-449, 2011 | 42 | 2011 |
| Parallel anisotropic mesh adaptivity with dynamic load balancing for cardiac electrophysiology J Southern, GJ Gorman, MD Piggott, PE Farrell Journal of Computational Science 3 (1-2), 8-16, 2012 | 40 | 2012 |
| The computation of disconnected bifurcation diagrams PE Farrell, CHL Beentjes, Á Birkisson arXiv preprint arXiv:1603.00809, 2016 | 37 | 2016 |
