Patrick E. Farrell

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 75

Top Topics

Hopf Bifurcation

Top Venues

SIAM J. Sci. Comput.

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Ed Bueler, Patrick E. Farrell
A Full Approximation Scheme Multilevel Method for Nonlinear Variational Inequalities. SIAM J. Sci. Comput. 46 (4) (2024)
Boris D. Andrews, Patrick E. Farrell
High-order conservative and accurately dissipative numerical integrators via auxiliary variables. CoRR (2024)
Pablo D. Brubeck, Patrick E. Farrell
Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree. SIAM J. Sci. Comput. 46 (3) (2024)
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) (2024)
Ioannis P. A. Papadopoulos, Patrick E. Farrell
Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization. SIAM J. Sci. Comput. 45 (6) (2023)
Ed Bueler, Patrick E. Farrell
A full approximation scheme multilevel method for nonlinear variational inequalities. CoRR (2023)
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) (2023)
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 (2023)
Ioannis P. A. Papadopoulos, Patrick E. Farrell
Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization. SIAM J. Sci. Comput. 45 (3) (2023)
Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. J. Comput. Phys. 478 (2023)
Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
Optimization of Hopf Bifurcation Points. SIAM J. Sci. Comput. 45 (3) (2023)
Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott
Two conjectures on the Stokes complex in three dimensions on Freudenthal meshes. CoRR (2022)
Nicolas Boullé, Patrick E. Farrell, Alberto Paganini
Control of Bifurcation Structures using Shape Optimization. SIAM J. Sci. Comput. 44 (1) (2022)
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) (2022)
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) (2022)
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
Finite-element discretization of the smectic density equation. CoRR (2022)
Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
Optimal control of Hopf bifurcations. CoRR (2022)
Ioannis P. A. Papadopoulos, Patrick E. Farrell
Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization. CoRR (2022)
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
elliptic problems. Comput. Math. Appl. 128 (2022)
Pablo D. Brubeck, Patrick E. Farrell
Multigrid solvers for the de Rham complex with optimal complexity in polynomial degree. CoRR (2022)
Razan Abu-Labdeh, Scott MacLachlan, Patrick E. Farrell
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. CoRR (2022)
Pablo D. Brubeck, Patrick E. Farrell
A Scalable and Robust Vertex-Star Relaxation for High-Order FEM. SIAM J. Sci. Comput. 44 (5) (2022)
Francis R. A. Aznaran, Patrick E. Farrell, Charles W. Monroe, Alexander J. Van-Brunt
Finite element methods for multicomponent convection-diffusion. CoRR (2022)
Nicolas Boullé, I. Newell, Patrick E. Farrell, Panayotis G. Kevrekidis
Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns. CoRR (2022)
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) (2022)
Fabian Laakmann, Patrick E. Farrell, Kaibo Hu
Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations. CoRR (2022)
Jingmin Xia, Patrick E. Farrell
Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals. CoRR (2021)
Ada J. Ellingsrud, Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
Accurate numerical simulation of electrodiffusion and water movement in brain tissue. CoRR (2021)
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) (2021)
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) (2021)
Francis Aznaran, Robert C. Kirby, Patrick E. Farrell
Transformations for Piola-mapped elements. CoRR (2021)
Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec
Computing Multiple Solutions of Topology Optimization Problems. SIAM J. Sci. Comput. 43 (3) (2021)
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) (2021)
Nicolas Boullé, Vassilios Dallas, Patrick E. Farrell
Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation. CoRR (2021)
Fabian Laakmann, Patrick E. Farrell, Lawrence Mitchell
An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers. CoRR (2021)
Pablo D. Brubeck, Patrick E. Farrell
A scalable and robust preconditioner for high-order FEM based on the fast diagonalization method. CoRR (2021)
Gonzalo G. de Diego, Patrick E. Farrell, Ian J. Hewitt
Numerical approximation of viscous contact problems applied to glacial sliding. CoRR (2021)
Nicolas Boullé, Patrick E. Farrell, Alberto Paganini
Control of bifurcation structures using shape optimization. CoRR (2021)
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) (2021)
Gonzalo G. de Diego, Patrick E. Farrell, Ian J. Hewitt
On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology. CoRR (2021)
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) (2021)
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
A new mixed finite-element method for the biharmonic problem. CoRR (2021)
Jack D. Betteridge, Patrick E. Farrell, David A. Ham
Code generation for productive portable scalable finite element simulation in Firedrake. CoRR (2021)
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)
Patrick E. Farrell, Pablo Alexei Gazca-Orozco
An augmented Lagrangian preconditioner for implicitly-constituted non-Newtonian incompressible flow. CoRR (2020)
Alexander Van-Brunt, Patrick E. Farrell, Charles W. Monroe
Augmented saddle point formulation of the steady-state Stefan-Maxwell diffusion problem. CoRR (2020)
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 (2020)
Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott, Florian Wechsung
Robust multigrid methods for nearly incompressible elasticity using macro elements. CoRR (2020)
Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez
Irksome: Automating Runge-Kutta time-stepping for finite element methods. CoRR (2020)
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 (2020)
Patrick E. Farrell, Pablo Alexei Gazca-Orozco
An Augmented Lagrangian Preconditioner for Implicitly Constituted Non-Newtonian Incompressible Flow. SIAM J. Sci. Comput. 42 (6) (2020)
Matteo Croci, Patrick E. Farrell
Complexity bounds on supermesh construction for quasi-uniform meshes. J. Comput. Phys. 414 (2020)
J. H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro
Monolithic Multigrid for Magnetohydrodynamics. CoRR (2020)
Jingmin Xia, Patrick E. Farrell, Florian Wechsung
Augmented Lagrangian preconditioners for the Oseen-Frank model of cholesteric liquid crystals. CoRR (2020)
Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec
Computing multiple solutions of topology optimization problems. CoRR (2020)
Nicolas Boullé, E. G. Charalampidis, Patrick E. Farrell, Panayotis G. Kevrekidis
Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation. CoRR (2020)
Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli
Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow. CoRR (2020)
Patrick E. Farrell, Matteo Croci, Thomas M. Surowiec
Deflation for semismooth equations. Optim. Methods Softw. 35 (6) (2020)
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) (2020)
Patrick E. Farrell, Matthew G. Knepley, Florian Wechsung, Lawrence Mitchell
PCPATCH: software for the topological construction of multigrid relaxation methods. CoRR (2019)
Patrick E. Farrell, Yunhui He, Scott P. MacLachlan
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. CoRR (2019)
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 (2019)
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) (2019)
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 (2019)
Matteo Croci, Patrick E. Farrell
Complexity bounds on supermesh construction for quasi-uniform meshes. CoRR (2019)
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) (2019)
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 (2018)
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) (2018)
Alberto Paganini, Florian Wechsung, Patrick E. Farrell
Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization. SIAM J. Sci. Comput. 40 (4) (2018)
S. J. Chapman, Patrick E. Farrell
Analysis of Carrier's Problem. SIAM J. Appl. Math. 77 (3) (2017)
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) (2017)
Alexandros Beskos, Mark A. Girolami, Shiwei Lan, Patrick E. Farrell, Andrew M. Stuart
Geometric MCMC for infinite-dimensional inverse problems. J. Comput. Phys. 335 (2017)
Patrick E. Farrell, John W. Pearson
A Preconditioner for the Ohta-Kawasaki Equation. SIAM J. Matrix Anal. Appl. 38 (1) (2017)
J. H. Adler, D. 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)
Patrick E. Farrell
The Number of Distinct Eigenvalues of a Matrix After Perturbation. SIAM J. Matrix Anal. Appl. 37 (2) (2016)
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)
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)
Simon W. Funke, Patrick E. Farrell, M. D. Piggott
Tidal turbine array optimisation using the adjoint approach CoRR (2013)
Simon W. Funke, Patrick E. Farrell
A framework for automated PDE-constrained optimisation CoRR (2013)
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)
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)
Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
A framework for the automation of generalised stability theory CoRR (2012)
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) (2012)
J. R. Maddison, Patrick E. Farrell
Directional integration on unstructured meshes via supermesh construction. J. Comput. Phys. 231 (12) (2012)
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 (2012)
Patrick E. Farrell
The addition of fields on different meshes. J. Comput. Phys. 230 (9) (2011)
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) (2010)
James Southern, Gerard J. Gorman, M. D. Piggott, Patrick E. Farrell, Miguel O. Bernabeu, Joe Pitt-Francis
Anisotropic mesh adaptivity for cardiac electrophysiology. ICCS (1) (2010)