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ORCIDPatrick E. Farrell
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- affiliation: University of Oxford, Mathematical Institute, UK
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Journal Articles
- 2024
[j42]Patrick E. Farrell
, Lawrence Mitchell, L. Ridgway Scott:
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes. SIAM J. Sci. Comput. 46(2): 629- (2024)- 2023
- [j41]Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell:
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. J. Comput. Phys. 478: 111961 (2023) - [j40]Fabian Laakmann, Kaibo Hu, Patrick E. Farrell:
Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations. J. Comput. Phys. 492: 112410 (2023) - [j39]Gonzalo Gonzalez de Diego, Patrick E. Farrell, Ian J. Hewitt:
On the Finite Element Approximation of a Semicoercive Stokes Variational Inequality Arising in Glaciology. SIAM J. Numer. Anal. 61(1): 1-25 (2023) - [j38]Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes:
Optimization of Hopf Bifurcation Points. SIAM J. Sci. Comput. 45(3): 390-411 (2023) - [j37]Ioannis P. A. Papadopoulos, Patrick E. Farrell:
Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization. SIAM J. Sci. Comput. 45(3): 853-883 (2023) - 2022
- [j36]Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan:
A new mixed finite-element method for H2 elliptic problems. Comput. Math. Appl. 128: 300-319 (2022) - [j35]Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli:
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. Math. Comput. 91(334): 659-697 (2022) - [j34]James Dalby, Patrick E. Farrell, Apala Majumdar, Jingmin Xia:
One-Dimensional Ferronematics in a Channel: Order Reconstruction, Bifurcations, and Multistability. SIAM J. Appl. Math. 82(2): 694-719 (2022) - [j33]Nicolas Boullé, Patrick E. Farrell, Alberto Paganini:
Control of Bifurcation Structures using Shape Optimization. SIAM J. Sci. Comput. 44(1): 57- (2022) - [j32]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) - [j31]Pablo D. Brubeck, Patrick E. Farrell:
A Scalable and Robust Vertex-Star Relaxation for High-Order FEM. SIAM J. Sci. Comput. 44(5): 2991- (2022) - 2021
- [j30]Jack D. Betteridge, Patrick E. Farrell, David A. Ham:
Code Generation for Productive, Portable, and Scalable Finite Element Simulation in Firedrake. Comput. Sci. Eng. 23(4): 8-17 (2021) - [j29]Patrick E. Farrell, Yunhui He, Scott P. MacLachlan:
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Numer. Linear Algebra Appl. 28(3) (2021) - [j28]Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec:
Computing Multiple Solutions of Topology Optimization Problems. SIAM J. Sci. Comput. 43(3): A1555-A1582 (2021) - [j27]Matteo Croci, Michael B. Giles, Patrick E. Farrell:
Multilevel Quasi Monte Carlo Methods for Elliptic PDEs with Random Field Coefficients via Fast White Noise Sampling. SIAM J. Sci. Comput. 43(4): A2840-A2868 (2021) - [j26]James H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro:
Monolithic Multigrid Methods for Magnetohydrodynamics. SIAM J. Sci. Comput. 43(5): S70-S91 (2021) - [j25]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) - [j24]Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez:
Irksome: Automating Runge-Kutta Time-stepping for Finite Element Methods. ACM Trans. Math. Softw. 47(4): 30:1-30:26 (2021) - 2020
- [j23]E. G. Charalampidis, Nicolas Boullé, Patrick E. Farrell, Panayotis G. Kevrekidis:
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. Commun. Nonlinear Sci. Numer. Simul. 87: 105255 (2020) - [j22]Matteo Croci, Patrick E. Farrell:
Complexity bounds on supermesh construction for quasi-uniform meshes. J. Comput. Phys. 414: 109459 (2020) - [j21]Patrick E. Farrell, Matteo Croci, Thomas M. Surowiec:
Deflation for semismooth equations. Optim. Methods Softw. 35(6): 1248-1271 (2020) - [j20]Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli:
Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation. SIAM J. Numer. Anal. 58(1): 757-787 (2020) - [j19]Patrick E. Farrell, Pablo Alexei Gazca-Orozco:
An Augmented Lagrangian Preconditioner for Implicitly Constituted Non-Newtonian Incompressible Flow. SIAM J. Sci. Comput. 42(6): B1329-B1349 (2020) - 2019
- [j18]Patrick E. Farrell, Johan E. Hake, Simon W. Funke, Marie E. Rognes:
Automated Adjoints of Coupled PDE-ODE Systems. SIAM J. Sci. Comput. 41(3): C219-C244 (2019) - [j17]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) - 2018
- [j16]E. G. Charalampidis, P. G. Kevrekidis, Patrick E. Farrell:
Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation. Commun. Nonlinear Sci. Numer. Simul. 54: 482-499 (2018) - [j15]Matteo Croci, Michael B. Giles, Marie E. Rognes, Patrick E. Farrell:
Efficient White Noise Sampling and Coupling for Multilevel Monte Carlo with Nonnested Meshes. SIAM/ASA J. Uncertain. Quantification 6(4): 1630-1655 (2018) - [j14]Alberto Paganini, Florian Wechsung, Patrick E. Farrell:
Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization. SIAM J. Sci. Comput. 40(4): A2356-A2382 (2018) - 2017
- [j13]Alexandros Beskos, Mark A. Girolami, Shiwei Lan, Patrick E. Farrell, Andrew M. Stuart:
Geometric MCMC for infinite-dimensional inverse problems. J. Comput. Phys. 335: 327-351 (2017) - [j12]Marie E. Rognes, Patrick E. Farrell, Simon W. Funke, Johan E. Hake, Mary M. Maleckar:
cbcbeat: an adjoint-enabled framework for computational cardiac electrophysiology. J. Open Source Softw. 2(13): 224 (2017) - [j11]S. J. Chapman, Patrick E. Farrell:
Analysis of Carrier's Problem. SIAM J. Appl. Math. 77(3): 924-950 (2017) - [j10]Patrick E. Farrell, John W. Pearson:
A Preconditioner for the Ohta-Kawasaki Equation. SIAM J. Matrix Anal. Appl. 38(1): 217-225 (2017) - [j9]J. H. Adler, David B. Emerson, Patrick E. Farrell, Scott P. MacLachlan:
Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems. SIAM J. Sci. Comput. 39(1) (2017) - 2016
- [j8]Patrick E. Farrell:
The Number of Distinct Eigenvalues of a Matrix After Perturbation. SIAM J. Matrix Anal. Appl. 37(2): 572-576 (2016) - 2015
- [j7]Patrick E. Farrell, Á. Birkisson, Simon W. Funke:
Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations. SIAM J. Sci. Comput. 37(4) (2015) - 2014
- [j6]Patrick E. Farrell, Colin J. Cotter, Simon W. Funke:
A Framework for the Automation of Generalized Stability Theory. SIAM J. Sci. Comput. 36(1) (2014) - 2013
- [j5]Patrick E. Farrell, David A. Ham, Simon W. Funke, Marie E. Rognes:
Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs. SIAM J. Sci. Comput. 35(4) (2013) - 2012
- [j4]James R. Maddison, Patrick E. Farrell:
Directional integration on unstructured meshes via supermesh construction. J. Comput. Phys. 231(12): 4422-4432 (2012) - [j3]James Southern, Gerard J. Gorman, M. D. Piggott, Patrick E. Farrell:
Parallel anisotropic mesh adaptivity with dynamic load balancing for cardiac electrophysiology. J. Comput. Sci. 3(1-2): 8-16 (2012) - 2011
- [j2]Patrick E. Farrell:
The addition of fields on different meshes. J. Comput. Phys. 230(9): 3265-3269 (2011) - 2010
- [j1]James Southern, Gerard J. Gorman, M. D. Piggott, Patrick E. Farrell, Miguel O. Bernabeu, Joe Pitt-Francis:
Simulating cardiac electrophysiology using anisotropic mesh adaptivity. J. Comput. Sci. 1(2): 82-88 (2010)
Conference and Workshop Papers
- 2012
- [c2]Gerard J. Gorman, James Southern, Patrick E. Farrell, M. D. Piggott, Georgios Rokos, Paul H. J. Kelly:
Hybrid OpenMP/MPI Anisotropic Mesh Smoothing. ICCS 2012: 1513-1522 - 2010
- [c1]James Southern, Gerard J. Gorman, M. D. Piggott, Patrick E. Farrell, Miguel O. Bernabeu, Joe Pitt-Francis:
Anisotropic mesh adaptivity for cardiac electrophysiology. ICCS 2010: 935-944
Informal and Other Publications
- 2023
- [i40]Ed Bueler, Patrick E. Farrell:
A full approximation scheme multilevel method for nonlinear variational inequalities. CoRR abs/2308.06888 (2023) - 2022
- [i39]Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes:
Optimal control of Hopf bifurcations. CoRR abs/2201.11684 (2022) - [i38]Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell:
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. CoRR abs/2202.07381 (2022) - [i37]Ioannis P. A. Papadopoulos, Patrick E. Farrell:
Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization. CoRR abs/2202.08248 (2022) - [i36]Fabian Laakmann, Patrick E. Farrell, Kaibo Hu:
Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations. CoRR abs/2202.11586 (2022) - [i35]Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan:
Finite-element discretization of the smectic density equation. CoRR abs/2207.12916 (2022) - [i34]Nicolas Boullé, I. Newell, Patrick E. Farrell, Panayotis G. Kevrekidis:
Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns. CoRR abs/2208.05703 (2022) - [i33]Francis R. A. Aznaran, Patrick E. Farrell, Charles W. Monroe, Alexander J. Van-Brunt:
Finite element methods for multicomponent convection-diffusion. CoRR abs/2208.11949 (2022) - [i32]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) - [i31]Pablo D. Brubeck, Patrick E. Farrell:
Multigrid solvers for the de Rham complex with optimal complexity in polynomial degree. CoRR abs/2211.14284 (2022) - 2021
- [i30]Ada J. Ellingsrud, Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes:
Accurate numerical simulation of electrodiffusion and water movement in brain tissue. CoRR abs/2102.02539 (2021) - [i29]Nicolas Boullé, Vassilios Dallas, Patrick E. Farrell:
Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation. CoRR abs/2102.10576 (2021) - [i28]Jack D. Betteridge, Patrick E. Farrell, David A. Ham:
Code generation for productive portable scalable finite element simulation in Firedrake. CoRR abs/2104.08012 (2021) - [i27]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) - [i26]Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan:
A new mixed finite-element method for the biharmonic problem. CoRR abs/2105.07289 (2021) - [i25]Nicolas Boullé, Patrick E. Farrell, Alberto Paganini:
Control of bifurcation structures using shape optimization. CoRR abs/2105.14884 (2021) - [i24]Pablo D. Brubeck, Patrick E. Farrell:
A scalable and robust preconditioner for high-order FEM based on the fast diagonalization method. CoRR abs/2107.14758 (2021) - [i23]Gonzalo Gonzalez de Diego, Patrick E. Farrell, Ian J. Hewitt:
On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology. CoRR abs/2108.00046 (2021) - [i22]Jingmin Xia, Patrick E. Farrell:
Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals. CoRR abs/2110.06479 (2021) - [i21]Francis Aznaran, Robert C. Kirby, Patrick E. Farrell:
Transformations for Piola-mapped elements. CoRR abs/2110.13224 (2021) - [i20]Gonzalo Gonzalez de Diego, Patrick E. Farrell, Ian J. Hewitt:
Numerical approximation of viscous contact problems applied to glacial sliding. CoRR abs/2111.05593 (2021) - 2020
- [i19]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) - [i18]Jingmin Xia, Patrick E. Farrell, Florian Wechsung:
Augmented Lagrangian preconditioners for the Oseen-Frank model of cholesteric liquid crystals. CoRR abs/2004.07329 (2020) - [i17]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) - [i16]Nicolas Boullé, E. G. Charalampidis, Patrick E. Farrell, Panayotis G. Kevrekidis:
Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation. CoRR abs/2004.10446 (2020) - [i15]Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec:
Computing multiple solutions of topology optimization problems. CoRR abs/2004.11797 (2020) - [i14]Patrick E. Farrell, Pablo Alexei Gazca-Orozco:
An augmented Lagrangian preconditioner for implicitly-constituted non-Newtonian incompressible flow. CoRR abs/2005.03150 (2020) - [i13]Alexander Van-Brunt, Patrick E. Farrell, Charles W. Monroe:
Augmented saddle point formulation of the steady-state Stefan-Maxwell diffusion problem. CoRR abs/2006.03321 (2020) - [i12]J. H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro:
Monolithic Multigrid for Magnetohydrodynamics. CoRR abs/2006.15700 (2020) - [i11]Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez:
Irksome: Automating Runge-Kutta time-stepping for finite element methods. CoRR abs/2006.16282 (2020) - [i10]Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli:
Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow. CoRR abs/2011.03024 (2020) - 2019
- [i9]Patrick E. Farrell, Yunhui He, Scott P. MacLachlan:
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. CoRR abs/1908.09949 (2019) - [i8]Matteo Croci, Patrick E. Farrell:
Complexity bounds on supermesh construction for quasi-uniform meshes. CoRR abs/1911.11589 (2019) - [i7]Matteo Croci, Michael B. Giles, Patrick E. Farrell:
Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling. CoRR abs/1911.12099 (2019) - [i6]E. G. Charalampidis, Nicolas Boullé, Patrick E. Farrell, P. G. Kevrekidis:
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. CoRR abs/1912.00023 (2019) - [i5]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) - 2013
- [i4]Simon W. Funke, Patrick E. Farrell:
A framework for automated PDE-constrained optimisation. CoRR abs/1302.3894 (2013) - [i3]Simon W. Funke, Patrick E. Farrell, M. D. Piggott:
Tidal turbine array optimisation using the adjoint approach. CoRR abs/1304.1768 (2013) - 2012
- [i2]Patrick E. Farrell, David A. Ham, Simon W. Funke, Marie E. Rognes:
Automated derivation of the adjoint of high-level transient finite element programs. CoRR abs/1204.5577 (2012) - [i1]Patrick E. Farrell, Colin J. Cotter, Simon W. Funke:
A framework for the automation of generalised stability theory. CoRR abs/1211.6989 (2012)
Coauthor Index
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