Patrick E. Farrell

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CV (updated 2026-07-22)

Short biography

In review

  1. [116] Kinetic derivation of thermal viscous models for nematic liquid crystal dynamics P. E. Farrell, J. Málek, O. Souček and U. Zerbinati 2026. arXiv:2606.31784
  2. [115] Automated Galerkin time stepping in Irksome B. D. Andrews, P. Brubeck, P. E. Farrell, R. C. Kirby and S. P. MacLachlan 2026. arXiv:2606.27300
  3. [114] On the convergence of iterated penalty methods for structure-preserving discretizations of saddle point problems P. E. Farrell, M. Neilan, C. Parker and L. R. Scott 2026. arXiv:2605.27069
  4. [113] Arbitrary-order structure-preserving discretizations for geometric curvature flows G. Zhang, B. D. Andrews and P. E. Farrell 2026. arXiv:2605.20371
  5. [112] Preconditioners for the Onsager–Stefan–Maxwell equations for multicomponent diffusion K. Knook, A. Baier-Reinio and P. E. Farrell 2026. arXiv:2604.19230
  6. [111] Finite element methods for electroneutral multicomponent electrolyte flows A. Baier-Reinio, P. E. Farrell and C. W. Monroe 2026. arXiv:2510.14923
  7. [110] Global and local helicity-preservation in the finite element discretization of magnetic relaxation P. E. Farrell, M. He, K. Hu and G. Zhang 2026. arXiv:2603.12134
  8. [109] Conservative and dissipative discretisations of multi-conservative ODEs and GENERIC systems B. D. Andrews and P. E. Farrell 2025. arXiv:2511.23266
  9. [108] A kinetic theory approach to ordered fluids J. A. Carrillo, P. E. Farrell, A. Medaglia and U. Zerbinati 2025. arXiv:2508.10744
  10. [107] Analysis and numerical analysis of the Helmholtz–Korteweg equation P. E. Farrell, T. van Beeck and U. Zerbinati 2025. arXiv:2503.10771

To appear

  1. [106] Fast solvers for the high-order FEM simplicial de Rham complex P. D. Brubeck, P. E. Farrell, R. C. Kirby and C. Parker Mathematics of Computation, 2026. arXiv:2506.17406

Published

  1. [105] Computing multiple solutions of systems of nonlinear equations with deflation P. E. Farrell In Proceedings of the International Congress of Mathematicians (2026), Vol. 7, Society for Industrial and Applied Mathematics and International Mathematical Union, Philadelphia, USA, 2026. doi:10.1137/25M1805710
  2. [104] Topology optimisation of transient turbulent compressible flow D. Hayashi Alonso, P. E. Farrell, J. R. Meneghini and E. C. N. Silva International Journal of Numerical Methods for Heat and Fluid Flow, 2026. doi:10.1108/HFF-04-2026-0598
  3. [103] A kinetic interpretation of thermomechanical restrictions of continua P. E. Farrell, J. Málek, O. Souček and U. Zerbinati International Journal of Engineering Science 225:104557, 2026. doi:10.1016/j.ijengsci.2026.104557
  4. [102] A thermodynamically consistent Johnson–Segalman–Giesekus model: numerical simulation of the rod climbing effect J. Cach, P. E. Farrell, J. Málek and K. Tůma Applications in Engineering Science 26:100315, 2026. doi:10.1016/j.apples.2026.100315
  5. [101] Topology optimisation of transient compressible flow D. Hayashi Alonso, P. E. Farrell, J. R. Meneghini and E. C. N. Silva Engineering with Computers 41(6):4575–4586, 2025. doi:10.1007/s00366-025-02203-2
  6. [100] High-order finite element methods for three-dimensional multicomponent convection-diffusion A. Baier-Reinio and P. E. Farrell SIAM Journal on Scientific Computing 48(2):A540-A567, 2025. doi:10.1137/25M1734385
  7. [99] Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables B. D. Andrews and P. E. Farrell SIAM Journal on Scientific Computing 47(6), 2025. doi:10.1137/25M1756673
  8. [98] Helicity-preserving discretization for the magneto-frictional equations arising in the Parker conjecture M. He, P. E. Farrell, K. Hu and B. D. Andrews SIAM Journal on Scientific Computing 48(2):B165–B183, 2025. doi:10.1137/25M1727540
  9. [97] An augmented Lagrangian preconditioner for the control of the Navier–Stokes equations S. Leveque, M. Benzi and P. E. Farrell SIAM Journal on Scientific Computing 47(5):A2431-A2455, 2025. doi:10.1137/24M1683354
  10. [96] Multiple solutions to the static forward free-boundary Grad–Shafranov problem on MAST-U Pentland, K., Amorisco, N. C., Farrell, P. E. and Ham, C. J. Nuclear Fusion 65(8):086053, 2025. doi:10.1088/1741-4326/adf3cc
  11. [95] The latent variable proximal point algorithm for variational problems with inequality constraints J. S. Dokken, P. E. Farrell, B. Keith, I. P. A. Papadopoulos and T. M. Surowiec Computer Methods in Applied Mechanics and Engineering 445:118181, 2025. doi:10.1016/j.cma.2025.118181
  12. [94] A higher-order finite-element implementation of the exact Landau Fokker–Planck collision operator for charged particle collisions in a low density plasma M. Hardman, M. Abazorius, J. Omotani, M. Barnes, S. L. Newton, J. W. S. Cook, P. E. Farrell and F. I. Parra Computer Physics Communications 314:109675, 2025. doi:10.1016/j.cpc.2025.109675
  13. [93] Time-harmonic waves in Korteweg and nematic-Korteweg fluids P. E. Farrell and U. Zerbinati Physical Review E 111(3):035413, 2025. doi:10.1103/PhysRevE.111.035413
  14. [92] Finite element methods for multicomponent convection-diffusion F. R. A. Aznaran, P. E. Farrell, C. W. Monroe and A. J. Van-Brunt IMA Journal of Numerical Analysis 45(1):188–222, 2024. doi:10.1093/imanum/drae001
  15. [91] ngsPETSc: a coupling between NETGEN/NGSolve and PETSc J. D. Betteridge, P. E. Farrell, M. Hochsteger, C. Lackner, J. Schöberl, S. Zampini and U. Zerbinati Journal of Open Source Software 9(104):7359, 2024. doi:10.21105/joss.07359
  16. [90] Kinetic derivation of an inviscid compressible Leslie–Ericksen equation for rarified calamitic gases P. E. Farrell, G. Russo and U. Zerbinati Multiscale Modeling and Simulation 22(4):1585–1607, 2024. doi:10.1137/24M1630529
  17. [89] A full approximation scheme multilevel method for nonlinear variational inequalities E. Bueler and P. E. Farrell SIAM Journal on Scientific Computing 46(4):A2421–A2444, 2024. doi:10.1137/23M1594200
  18. [88] On multiple solutions of the Grad–Shafranov equation C. Ham and P. E. Farrell Nuclear Fusion Letters 64(3):034001, 2024. doi:10.1088/1741-4326/ad1d77
  19. [87] Multigrid solvers for the de Rham complex with optimal complexity in polynomial degree P. D. Brubeck and P. E. Farrell SIAM Journal on Scientific Computing 46(3):A1549–A1573, 2024. doi:10.1137/22m1537370
  20. [86] Two conjectures on the Stokes complex in three dimensions on Freudenthal meshes P. E. Farrell, L. Mitchell and L. R. Scott SIAM Journal on Scientific Computing 46(2):A629–A644, 2024. doi:10.1137/22M1533943
  21. [85] Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization I. A. P. Papadopoulos and P. E. Farrell SIAM Journal on Scientific Computing 45(6):B853–B883, 2023. doi:10.1137/22M1478598
  22. [84] Optimization of Hopf bifurcations N. Boullé, P. E. Farrell and M. E. Rognes SIAM Journal on Scientific Computing 45(3):B390–B411, 2023. doi:10.1137/22M1474448
  23. [83] Discrete breathers in Klein–Gordon lattices: a deflation-based approach F. Martin-Vergara, J. Cuevas Maraver, P. E. Farrell, F. Villatoro and P. G. Kevrekidis Chaos 33(11):113126, 2023. doi:10.1063/5.0161889
  24. [82] Colloidal smectics in button-like confinements: experiment and theory R. Wittmann, P. A. Monderkamp, J. Xia, L. B. G. Cortes, I. Grobas, P. E. Farrell, D. G. A. L. Aarts and H. Löwen Physical Review Research 5(3):033135, 2023. doi:10.1103/PhysRevResearch.5.033135
  25. [81] Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations F. Laakmann, K. Hu and P. E. Farrell Journal of Computational Physics 492:112410, 2023. doi:10.1016/j.jcp.2023.112410
  26. [80] A scalable and robust vertex-star relaxation for high-order FEM P. D. Brubeck and P. E. Farrell SIAM Journal on Scientific Computing 44(5):A2991–A3017, 2022. doi:10.1137/21M1444187
  27. [79] An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers F. Laakmann, P. E. Farrell and L. Mitchell SIAM Journal on Scientific Computing 44(4):B1018–B1044, 2022. doi:10.1137/21M1416539
  28. [78] Numerical approximation of viscous contact problems applied to glacial sliding G. G. de Diego, P. E. Farrell and I. J. Hewitt Journal of Fluid Mechanics 938:A21, 2022. doi:10.1017/jfm.2022.178
  29. [77] Transformations for Piola-mapped elements F. R. A. Aznaran, P. E. Farrell and R. C. Kirby SMAI Journal of Computational Mathematics 8:399–437, 2022. doi:10.5802/smai-jcm.91
  30. [76] Structural electroneutrality in Onsager–Stefan–Maxwell models with charged species A. Van-Brunt, P. E. Farrell and C. W. Monroe Electrochimica Acta 441:141769, 2022. doi:10.1016/j.electacta.2022.141769
  31. [75] Variational and numerical analysis of a $\mathbf{Q}$-tensor model for smectic-A liquid crystals J. Xia and P. E. Farrell ESIAM: Mathematical Modelling and Numerical Analysis 57(2):693–716, 2023. doi:10.1051/m2an/2022083
  32. [74] Monolithic multigrid for implicit Runge–Kutta discretizations of incompressible fluid flow R. Abu-Labdeh, S. P. MacLachlan and P. E. Farrell Journal of Computational Physics 478:111961, 2023. doi:10.1016/j.jcp.2023.111961
  33. [73] Two-component 3D atomic Bose-Einstein condensates support complex stable patterns N. Boullé, I. Newell, P. E. Farrell and P. G. Kevrekidis Physical Review A, 2022. doi:10.1103/PhysRevA.107.012813
  34. [72] A new mixed finite-element method for $H^2$-elliptic problems P. E. Farrell, A. Hamdan and S. P. MacLachlan Computers and Mathematics with Applications 128:300–319, 2022. doi:10.1016/j.camwa.2022.10.024
  35. [71] On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology G. G. de Diego, P. E. Farrell and I. J. Hewitt SIAM Journal on Numerical Analysis 61(1):1–25, 2022. doi:10.1137/21m1437640
  36. [70] Bifurcation analysis of two-dimensional Rayleigh–Bénard convection using deflation N. Boullé, V. Dallas and P. E. Farrell Physical Review E 105(5):055106, 2021. doi:10.1103/PhysRevE.105.055106
  37. [69] Consolidated theory of fluid thermodiffusion A. Van-Brunt, P. E. Farrell and C. W. Monroe AIChE Journal 68(5):e17599, 2021. doi:10.1002/aic.17599
  38. [68] One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability J. Dalby, P. E. Farrell, A. Majumdar and J. Xia SIAM Journal on Applied Mathematics 82(2):694–719, 2021. doi:10.1137/21M1400171
  39. [67] Accurate numerical simulation of electrodiffusion and water movement in brain tissue A. J. Ellingsrud, N. Boullé, P. E. Farrell and M. E. Rognes Mathematical Medicine and Biology, 2021. doi:10.1093/imammb/dqab016
  40. [66] Robust multigrid for nearly incompressible elasticity using macro elements P. E. Farrell, L. Mitchell, L. R. Scott and F. Wechsung IMA Journal on Numerical Analysis, 2021. doi:10.1093/imanum/drab083
  41. [65] Control of bifurcation structures using shape optimization N. Boullé, P. E. Farrell and A. Paganini SIAM Journal on Scientific Computing 44(1):A57–A76, 2021. doi:10.1137/21M1418708
  42. [64] Finite element approximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow P. E. Farrell, P. A. Gazca Orozco and E. Süli Mathematics of Computation 91:659–697, 2022. doi:10.1090/mcom/3703
  43. [63] Augmented saddle point formulation of the steady-state Stefan–Maxwell diffusion equations A. J. Van-Brunt, P. E. Farrell and C. W. Monroe IMA Journal of Numerical Analysis 42:3272–3305, 2022. doi:10.1093/imanum/drab067
  44. [62] Multilevel quasi Monte Carlo methods for elliptic partial differential equations driven by spatial white noise M. Croci, M. B. Giles and P. E. Farrell SIAM Journal on Scientific Computing 43(4):A2840–A2868, 2021. doi:10.1137/20M1329044
  45. [61] Code generation for productive portable scalable finite element simulation in Firedrake J. D. Betteridge, P. E. Farrell and D. A. Ham IEEE Computing in Science and Engineering, 2021. doi:10.1109/MCSE.2021.3085102
  46. [60] Irksome: automating Runge–Kutta time-stepping for finite element methods P. E. Farrell, R. C. Kirby and J. Marchena-Menendez ACM Transactions on Mathematical Software 47(4), 2021. doi:10.1145/3466168
  47. [59] Structural landscapes in geometrically frustrated smectics J. Xia, S. MacLachlan, T. J. Atherton and P. E. Farrell Physical Review Letters 126(17):177801, 2021. doi:10.1103/PhysRevLett.126.177801
  48. [58] A Reynolds-robust preconditioner for the Scott–Vogelius discretization of the stationary incompressible Navier–Stokes equations P. E. Farrell, L. Mitchell, L. R. Scott and F. Wechsung SMAI Journal of Computational Mathematics 7:75–96, 2021. doi:10.5802/smai-jcm.72
  49. [57] Phase-field modelling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations K. Tůma, M. Rezaee-Hajidehi, J. Hron, P. E. Farrell and S. Stupkiewicz Computer Methods in Applied Mechanics and Engineering 377:113705, 2021. doi:10.1016/j.cma.2021.113705
  50. [56] Computing multiple solutions of topology optimization problems I. P. A. Papadopoulos, P. E. Farrell and T. M. Surowiec SIAM Journal on Scientific Computing 43(3):A1555-A1582, 2021. doi:10.1137/20M1326209
  51. [55] PCPATCH: Software for the topological construction of multigrid relaxation methods P. E. Farrell, M. G. Knepley, L. Mitchell and F. Wechsung ACM Transactions on Mathematical Software 47(3):1–22, 2021. doi:10.1145/3445791
  52. [54] Augmented Lagrangian preconditioners for the Oseen–Frank model of cholesteric liquid crystals J. Xia, P. E. Farrell and F. Wechsung BIT Numerical Mathematics, 2020. doi:10.1007/s10543-020-00838-9
  53. [53] Mixed Kirckhhoff stress–displacement–pressure formulations for incompressible hyperelasticity P. E. Farrell, L. F. Gatica, B. P. Lamichhane, R. Oyarzuá and R. Ruiz-Baier Computer Methods in Applied Mechanics and Engineering 374:113562, 2020. doi:10.1016/j.cma.2020.113562
  54. [52] Monolithic multigrid for magnetohydrodynamics J. H. Adler, T. Benson, E. C. Cyr, P. E. Farrell, S. MacLachlan and R. Tuminaro SIAM Journal on Scientific Computing, S70–S91, 2021. doi:10.1137/20M1348364
  55. [51] Deflation-based Identification of Nonlinear Excitations of the 3D Gross–Pitaevskii equation N. Boullé, E. G. Charalampidis, P. E. Farrell and P. G. Kevrekidis Physical Review A 102(5):053307, 2020. doi:10.1103/PhysRevA.102.053307
  56. [50] An augmented Lagrangian preconditioner for implicitly-constituted non-Newtonian incompressible flow P. E. Farrell and P. A. Gazca-Orozco SIAM Journal on Scientific Computing 42(6):B1329-B1349, 2020. doi:10.1137/20M1336618
  57. [49] Cavity flow characteristics and applications to kidney stone removal J. G. Williams, A. A. Castrejon-Pita, B. W. Turney, P. E. Farrell, S. J. Tavener, D. E. Moulton and S. L. Waters Journal of Fluid Mechanics 902:A16, 2020. doi:10.1017/jfm.2020.583
  58. [48] Revisiting the wrinkling of elastic bilayers II: post-bifurcation analysis H. A. Alawiye, P. E. Farrell and A. Goriely Journal of the Mechanics and Physics of Solids 143:104053, 2020. doi:10.1016/j.jmps.2020.104053
  59. [47] A local Fourier analysis of additive Vanka relaxation for the Stokes equations P. E. Farrell, Y. He and S. P. MacLachlan Numerical Linear Algebra with Applications 28(3):e2306, 2021. doi:10.1002/nla.2306
  60. [46] Complexity bounds on supermesh construction for quasi-uniform meshes M. Croci and P. E. Farrell Journal of Computational Physics 414:109459, 2020. doi:10.1016/j.jcp.2020.109459
  61. [45] Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation E. G. Charalampidis, N. Boullé, P. E. Farrell and P. G. Kevrekidis Communications in Nonlinear Science and Numerical Simulation 87:105255, 2020. doi:10.1016/j.cnsns.2020.105255
  62. [44] Nonlinear bifurcation analysis of stiffener profiles via deflation techniques J. Xia, P. E. Farrell and S. G. P. Castro Thin Walled Structures 149:106662, 2020. doi:10.1016/j.tws.2020.106662
  63. [43] Navigating the landscape of nonlinear mechanical metamaterials for advanced programmability E. Medina, P. E. Farrell, K. Bertoldi and C. Rycroft Physical Review B 101(6):064101, 2020. doi:10.1103/PhysRevB.101.064101
  64. [42] Numerical analysis of unsteady implicitly constituted incompressible fluids: three-field formulation P. E. Farrell, P. A. Gazca-Orozco and E. Süli SIAM Journal on Numerical Analysis 58(1):757–787, 2020. doi:10.1137/19M125738X
  65. [41] An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier–Stokes equations at high Reynolds number P. E. Farrell, L. Mitchell and F. Wechsung SIAM Journal on Scientific Computing 41(5):A3073-A3096, 2019. doi:10.1137/18M1219370
  66. [40] Deflation for semismooth equations P. E. Farrell, M. Croci and T. M. Surowiec Optimization Methods and Software 35(6):1248–1271, 2019. doi:10.1080/10556788.2019.1613655
  67. [39] Efficient white noise sampling and coupling for multilevel Monte Carlo with nonnested meshes Croci, M., Giles, M. B., Rognes, M. E. and P. E. Farrell SIAM/ASA Journal on Uncertainty Quantification 6(4):1630–1655, 2018. doi:10.1137/18M1175239
  68. [38] Higher-order moving mesh methods for PDE-constrained shape optimization A. Paganini, F. Wechsung and P. E. Farrell SIAM Journal on Scientific Computing 40(4):A2356–A2382, 2018. doi:10.1137/17m1133956
  69. [37] Relevance of detail in basal topography for basal slipperiness inversions: a case study on Pine Island Glacier, Antarctica T. M. Kyrke-Smith, G. H. Gudmundsson and P. E. Farrell Frontiers in Earth Science 6:33, 2018. doi:10.3389/feart.2018.00033
  70. [36] Can seismic observations of bed conditions on ice streams help constrain parameters in ice flow models? T. M. Kyrke-Smith, G. Hilmar Gudmundsson and P. E. Farrell Journal of Geophysical Research: Earth Surface 122(11):2269–2282, 2017. doi:10.1002/2017JF004373
  71. [35] Computing stationary solutions of the two-dimensional Gross–Pitaevskii equation with deflated continuation E. G. Charalampidis, P. G. Kevrekidis and P. E. Farrell Communications in Nonlinear Science and Numerical Simulation 54:482–499, 2018. doi:10.1016/j.cnsns.2017.05.024
  72. [34] cbcbeat: an adjoint-enabled framework for computational cardiac electrophysiology M. E. Rognes, P. E. Farrell, S. W. Funke, J. E. Hake and M. M. C. Maleckar The Journal of Open Source Software 2(13), 2017. doi:10.21105/joss.00224
  73. [33] Reconstructing wave profiles from inundation data S. W. Funke, P. E. Farrell and M. D. Piggott Computer Methods in Applied Mechanics and Engineering 322:167–186, 2017. doi:10.1016/j.cma.2017.04.019
  74. [32] Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms D. B. Emerson, J. H. Adler, P. E. Farrell, S. P. MacLachlan and T. J. Atherton Liquid Crystals 45(3):341–350, 2017. doi:10.1080/02678292.2017.1365385
  75. [31] Analysis of Carrier's problem S. J. Chapman and P. E. Farrell SIAM Journal on Applied Mathematics 77(3):924–950, 2017. doi:10.1137/16M1096074
  76. [30] From molecular to continuum modelling of bistable liquid crystal devices M. Robinson, C. Luo, P. E. Farrell, R. Erban and A. Majumdar Liquid Crystals 44(14-15):2267–2284, 2017. doi:10.1080/02678292.2017.1290284
  77. [29] A preconditioner for the Ohta-Kawasaki equation P. E. Farrell and J. W. Pearson SIAM Journal on Matrix Analysis and Applications 38(1):217–225, 2016. doi:10.1137/16M1065483
  78. [28] Geometric MCMC for infinite-dimensional inverse problems A. Beskos, M. Girolami, S. Lan, P. E. Farrell and A. M. Stuart Journal of Computational Physics 335:327–351, 2016. doi:10.1016/j.jcp.2016.12.041
  79. [27] Combining deflation and nested iteration for computing multiple solutions of nonlinear variational problems J. H. Adler, D. B. Emerson, P. E. Farrell and S. P. MacLachlan SIAM Journal on Scientific Computing 39(1):B29–B52, 2017. doi:10.1137/16M1058728
  80. [26] Linear and nonlinear solvers for variational phase-field models of brittle fracture P. E. Farrell and C. Maurini International Journal for Numerical Methods in Engineering 109(5):648–667, 2016. doi:10.1002/nme.5300
  81. [25] The number of distinct eigenvalues of a matrix after perturbation P. E. Farrell SIAM Journal on Matrix Analysis and Applications 37(2):572–576, 2016. doi:10.1137/15M1037603
  82. [24] Deflation techniques for finding distinct solutions of nonlinear partial differential equations P. E. Farrell, Á. Birkisson and S. W. Funke SIAM Journal on Scientific Computing 37(4):A2026–A2045, 2015. doi:10.1137/140984798
  83. [23] A framework for the automation of generalised stability theory P. E. Farrell, C. J. Cotter and S. W. Funke SIAM Journal on Scientific Computing 36(1):C25–C48, 2014. doi:10.1137/120900745
  84. [22] Rapid development and adjoining of transient finite element models J. R. Maddison and P. E. Farrell Computer Methods in Applied Mechanics and Engineering 276(0):95–121, 2014. doi:10.1016/j.cma.2014.03.010
  85. [21] Assessment of spurious mixing in adaptive mesh simulations of the two-dimensional lock-exchange H. R. Hiester, M. D. Piggott, P. E. Farrell and P. A. Allison Ocean Modelling 73:30–44, 2014. doi:10.1016/j.ocemod.2013.10.003
  86. [20] Tidal turbine array optimisation using the adjoint approach S. W. Funke, P. E. Farrell and M. D. Piggott Renewable Energy 63(0):658–673, 2014. doi:10.1016/j.renene.2013.09.031
  87. [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 and P. N. Smith Annals of Nuclear Energy 63(0):399–408, 2014. doi:10.1016/j.anucene.2013.07.044
  88. [18] Multimesh anisotropic adaptivity for the Boltzmann transport equation C. M. J. Baker, A. G. Buchan, C. C. Pain, P. E. Farrell, M. D. Eaton and P. Warner Annals of Nuclear Energy 53(0):411–426, 2013. doi:10.1016/j.anucene.2012.07.023
  89. [17] Automated derivation of the adjoint of high-level transient finite element programs P. E. Farrell, Ham, D. A., Funke, S. W. and Rognes, M. E. SIAM Journal on Scientific Computing 35(4):C369–C393, 2013. doi:10.1137/120873558
  90. [16] Modelling of fluid–solid interactions using an adaptive mesh fluid model coupled with a combined finite discrete element model Viré, A., Xiang, J., Milthaler, F., Farrell, P. E., Piggott, M. D., Latham, J.-P., Pavlidis, D. and Pain, C. C. Ocean Dynamics 62(10–12):1487–1501, 2012. doi:10.1007/s10236-012-0575-z
  91. [15] Directional integration on unstructured meshes via supermesh construction J. R. Maddison and P. E. Farrell Journal of Computational Physics 231(12):4422–4432, 2012. doi:10.1016/j.jcp.2012.02.009
  92. [14] Hybrid OpenMP/MPI anisotropic mesh smoothing Gorman, G. J., Southern, J., P. E. Farrell, Piggott, M. D., Rokos, G. and Kelly, P. H. J. Procedia Computer Science 9(0):1513–1522, 2012. doi:10.1016/j.procs.2012.04.166
  93. [13] Parallel anisotropic mesh adaptivity with dynamic load balancing for cardiac electrophysiology J. Southern, G.J. Gorman, M.D. Piggott and P. E. Farrell Journal of Computational Science 3(1–2):8–16, 2012. doi:10.1016/j.jocs.2011.11.002
  94. [12] An anisotropic Zienkiewicz-Zhu error estimator for 3D applications P. E. Farrell, S. Micheletti and S. Perotto International Journal for Numerical Methods in Engineering 85(6):671–692, 2011. doi:10.1002/nme.2980
  95. [11] The addition of fields on different meshes P. E. Farrell Journal of Computational Physics 230(9):3265–3269, 2011. doi:10.1016/j.jcp.2011.01.028
  96. [10] Geostrophic balance preserving interpolation in mesh adaptive linearised shallow-water ocean modelling J. R. Maddison, C. J. Cotter and P. E. Farrell Ocean Modelling, 2011. doi:10.1016/j.ocemod.2010.12.007
  97. [9] Conservative interpolation between volume meshes by local Galerkin projection P. E. Farrell and J. R. Maddison Computer Methods in Applied Mechanics and Engineering 200(1-4):89–100, 2011. doi:10.1016/j.cma.2010.07.015
  98. [8] Simulating cardiac electrophysiology using anisotropic mesh adaptivity Southern, J., Gorman, G. J., Piggott, M. D., P. E. Farrell, Bernabeu, M. O. and Pitt-Francis, J. Journal of Computational Science 1(2):82–88, 2010. doi:10.1016/j.jocs.2010.03.010
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