Patrick E. Farrell

Orcid: 0000-0002-1241-7060

Affiliations:
  • University of Oxford, Mathematical Institute, UK


According to our database1, Patrick E. Farrell authored at least 71 papers between 2010 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes.
SIAM J. Sci. Comput., 2024

A Full Approximation Scheme Multilevel Method for Nonlinear Variational Inequalities.
SIAM J. Sci. Comput., 2024

Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree.
SIAM J. Sci. Comput., 2024

High-order finite element methods for three-dimensional multicomponent convection-diffusion.
CoRR, 2024

An augmented Lagrangian preconditioner for the control of the Navier-Stokes equations.
CoRR, 2024

High-order conservative and accurately dissipative numerical integrators via auxiliary variables.
CoRR, 2024

2023
Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations.
J. Comput. Phys., November, 2023

Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization.
SIAM J. Sci. Comput., June, 2023

Optimization of Hopf Bifurcation Points.
SIAM J. Sci. Comput., June, 2023

Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow.
J. Comput. Phys., April, 2023

On the Finite Element Approximation of a Semicoercive Stokes Variational Inequality Arising in Glaciology.
SIAM J. Numer. Anal., February, 2023

2022
An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers.
SIAM J. Sci. Comput., August, 2022

A Scalable and Robust Vertex-Star Relaxation for High-Order FEM.
SIAM J. Sci. Comput., 2022

Control of Bifurcation Structures using Shape Optimization.
SIAM J. Sci. Comput., 2022

One-Dimensional Ferronematics in a Channel: Order Reconstruction, Bifurcations, and Multistability.
SIAM J. Appl. Math., 2022

Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids.
Math. Comput., 2022

Finite element methods for multicomponent convection-diffusion.
CoRR, 2022

Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns.
CoRR, 2022

Finite-element discretization of the smectic density equation.
CoRR, 2022

Optimal control of Hopf bifurcations.
CoRR, 2022

A new mixed finite-element method for <i>H</i><sup>2</sup> elliptic problems.
Comput. Math. Appl., 2022

2021
PCPATCH: Software for the Topological Construction of Multigrid Relaxation Methods.
ACM Trans. Math. Softw., 2021

Irksome: Automating Runge-Kutta Time-stepping for Finite Element Methods.
ACM Trans. Math. Softw., 2021

Computing Multiple Solutions of Topology Optimization Problems.
SIAM J. Sci. Comput., 2021

Multilevel Quasi Monte Carlo Methods for Elliptic PDEs with Random Field Coefficients via Fast White Noise Sampling.
SIAM J. Sci. Comput., 2021

Monolithic Multigrid Methods for Magnetohydrodynamics.
SIAM J. Sci. Comput., 2021

A local Fourier analysis of additive Vanka relaxation for the Stokes equations.
Numer. Linear Algebra Appl., 2021

Code Generation for Productive, Portable, and Scalable Finite Element Simulation in Firedrake.
Comput. Sci. Eng., 2021

Numerical approximation of viscous contact problems applied to glacial sliding.
CoRR, 2021

Transformations for Piola-mapped elements.
CoRR, 2021

Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals.
CoRR, 2021

A scalable and robust preconditioner for high-order FEM based on the fast diagonalization method.
CoRR, 2021

A new mixed finite-element method for the biharmonic problem.
CoRR, 2021

Code generation for productive portable scalable finite element simulation in Firedrake.
CoRR, 2021

Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation.
CoRR, 2021

Accurate numerical simulation of electrodiffusion and water movement in brain tissue.
CoRR, 2021

2020
An Augmented Lagrangian Preconditioner for Implicitly Constituted Non-Newtonian Incompressible Flow.
SIAM J. Sci. Comput., 2020

Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation.
SIAM J. Numer. Anal., 2020

Deflation for semismooth equations.
Optim. Methods Softw., 2020

Complexity bounds on supermesh construction for quasi-uniform meshes.
J. Comput. Phys., 2020

Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow.
CoRR, 2020

Monolithic Multigrid for Magnetohydrodynamics.
CoRR, 2020

Augmented saddle point formulation of the steady-state Stefan-Maxwell diffusion problem.
CoRR, 2020

Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation.
CoRR, 2020

A Reynolds-robust preconditioner for the Reynolds-robust Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations.
CoRR, 2020

Augmented Lagrangian preconditioners for the Oseen-Frank model of cholesteric liquid crystals.
CoRR, 2020

Robust multigrid methods for nearly incompressible elasticity using macro elements.
CoRR, 2020

Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation.
Commun. Nonlinear Sci. Numer. Simul., 2020

2019
An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier-Stokes Equations at High Reynolds Number.
SIAM J. Sci. Comput., 2019

Automated Adjoints of Coupled PDE-ODE Systems.
SIAM J. Sci. Comput., 2019

2018
Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization.
SIAM J. Sci. Comput., 2018

Efficient White Noise Sampling and Coupling for Multilevel Monte Carlo with Nonnested Meshes.
SIAM/ASA J. Uncertain. Quantification, 2018

Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation.
Commun. Nonlinear Sci. Numer. Simul., 2018

2017
Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems.
SIAM J. Sci. Comput., 2017

A Preconditioner for the Ohta-Kawasaki Equation.
SIAM J. Matrix Anal. Appl., 2017

Analysis of Carrier's Problem.
SIAM J. Appl. Math., 2017

cbcbeat: an adjoint-enabled framework for computational cardiac electrophysiology.
J. Open Source Softw., 2017

Geometric MCMC for infinite-dimensional inverse problems.
J. Comput. Phys., 2017

2016
The Number of Distinct Eigenvalues of a Matrix After Perturbation.
SIAM J. Matrix Anal. Appl., 2016

2015
Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations.
SIAM J. Sci. Comput., 2015

2014
A Framework for the Automation of Generalized Stability Theory.
SIAM J. Sci. Comput., 2014

2013
Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs.
SIAM J. Sci. Comput., 2013

Tidal turbine array optimisation using the adjoint approach
CoRR, 2013

A framework for automated PDE-constrained optimisation
CoRR, 2013

2012
Hybrid OpenMP/MPI Anisotropic Mesh Smoothing.
Proceedings of the International Conference on Computational Science, 2012

Parallel anisotropic mesh adaptivity with dynamic load balancing for cardiac electrophysiology.
J. Comput. Sci., 2012

Directional integration on unstructured meshes via supermesh construction.
J. Comput. Phys., 2012

A framework for the automation of generalised stability theory
CoRR, 2012

2011
The addition of fields on different meshes.
J. Comput. Phys., 2011

2010
Anisotropic mesh adaptivity for cardiac electrophysiology.
Proceedings of the International Conference on Computational Science, 2010

Simulating cardiac electrophysiology using anisotropic mesh adaptivity.
J. Comput. Sci., 2010


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