Patrick E. Farrell

103 papers Misc 2Journal 101

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Global and local helicity-preservation in the finite element discretisation of magnetic relaxation. CoRR Patrick E. Farrell, Mingdong He, Kaibo Hu, Ganghui Zhang
2026	J	`jnl`	Helicity-Preserving Finite Element Discretization for Magnetic Relaxation. SIAM J. Sci. Comput. Mingdong He, Patrick E. Farrell, Kaibo Hu, Boris D. Andrews
2026	J	`jnl`	High-Order Finite Element Methods for Three-Dimensional Multicomponent Convection-Diffusion. SIAM J. Sci. Comput. Aaron Baier-Reinio, Patrick E. Farrell
2025	J	`jnl`	An Augmented Lagrangian Preconditioner for the Control of the Navier-Stokes Equations. SIAM J. Sci. Comput. Santolo Leveque, Michele Benzi, Patrick E. Farrell
2025	J	`jnl`	Analysis and numerical analysis of the Helmholtz-Korteweg equation. CoRR Patrick E. Farrell, Tim van Beeck, Umberto Zerbinati
2025	J	`jnl`	Conservative and dissipative discretisations of multi-conservative ODEs and GENERIC systems. CoRR Boris D. Andrews, Patrick E. Farrell
2025	J	`jnl`	Enforcing Conservation Laws and Dissipation Inequalities Numerically via Auxiliary Variables. SIAM J. Sci. Comput. Boris D. Andrews, Patrick E. Farrell
2025	J	`jnl`	Fast solvers for the high-order FEM simplicial de Rham complex. CoRR Pablo D. Brubeck, Patrick E. Farrell, Robert C. Kirby, Charles Parker
2025	J	`jnl`	Finite element methods for electroneutral multicomponent electrolyte flows. CoRR Aaron Baier-Reinio, Patrick E. Farrell, Charles W. Monroe
2025	J	`jnl`	The latent variable proximal point algorithm for variational problems with inequality constraints. CoRR Jørgen S. Dokken, Patrick E. Farrell, Brendan Keith, Ioannis P. A. Papadopoulos, Thomas M. Surowiec
2025	J	`jnl`	Topology optimisation of transient compressible flow. Eng. Comput. Diego Hayashi Alonso, Patrick E. Farrell, Julio Romano Meneghini, Emílio Carlos Nelli Silva
2025	J	`jnl`	Topology-preserving discretization for the magneto-frictional equations arising in the Parker conjecture. CoRR Mingdong He, Patrick E. Farrell, Kaibo Hu, Boris D. Andrews
2024	J	`jnl`	A Full Approximation Scheme Multilevel Method for Nonlinear Variational Inequalities. SIAM J. Sci. Comput. Ed Bueler, Patrick E. Farrell
2024	J	`jnl`	An augmented Lagrangian preconditioner for the control of the Navier-Stokes equations. CoRR Santolo Leveque, Michele Benzi, Patrick E. Farrell
2024	J	`jnl`	High-order conservative and accurately dissipative numerical integrators via auxiliary variables. CoRR Boris D. Andrews, Patrick E. Farrell
2024	J	`jnl`	High-order finite element methods for three-dimensional multicomponent convection-diffusion. CoRR Aaron Baier-Reinio, Patrick E. Farrell
2024	J	`jnl`	Kinetic Derivation of an Inviscid Compressible Leslie-Ericksen Equation for Rarified Calamitic Gases. Multiscale Model. Simul. Patrick E. Farrell, Giovanni Russo, Umberto Zerbinati
2024	J	`jnl`	Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree. SIAM J. Sci. Comput. Pablo D. Brubeck, Patrick E. Farrell
2024	J	`jnl`	Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes. SIAM J. Sci. Comput. Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott
2024	J	`jnl`	ngsPETSc: A coupling between NETGEN/NGSolve and PETSc. J. Open Source Softw. Jack D. Betteridge, Patrick E. Farrell, Matthias Hochsteger, Christopher Lackner, Joachim Schöberl, Stefano Zampini, Umberto Zerbinati
2023	J	`jnl`	A full approximation scheme multilevel method for nonlinear variational inequalities. CoRR Ed Bueler, Patrick E. Farrell
2023	J	`jnl`	Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. J. Comput. Phys. Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell
2023	J	`jnl`	On the Finite Element Approximation of a Semicoercive Stokes Variational Inequality Arising in Glaciology. SIAM J. Numer. Anal. Gonzalo Gonzalez de Diego, Patrick E. Farrell, Ian J. Hewitt
2023	J	`jnl`	Optimization of Hopf Bifurcation Points. SIAM J. Sci. Comput. Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
2023	J	`jnl`	Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization. SIAM J. Sci. Comput. Ioannis P. A. Papadopoulos, Patrick E. Farrell
2023	J	`jnl`	Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations. J. Comput. Phys. Fabian Laakmann, Kaibo Hu, Patrick E. Farrell
2022	J	`jnl`	A Scalable and Robust Vertex-Star Relaxation for High-Order FEM. SIAM J. Sci. Comput. Pablo D. Brubeck, Patrick E. Farrell
2022	J	`jnl`	A new mixed finite-element method for Comput. Math. Appl. Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
2022	J	`jnl`	An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers. SIAM J. Sci. Comput. Fabian Laakmann, Patrick E. Farrell, Lawrence Mitchell
2022	J	`jnl`	Control of Bifurcation Structures using Shape Optimization. SIAM J. Sci. Comput. Nicolas Boullé, Patrick E. Farrell, Alberto Paganini
2022	J	`jnl`	Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. Math. Comput. Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli
2022	J	`jnl`	Finite element methods for multicomponent convection-diffusion. CoRR Francis R. A. Aznaran, Patrick E. Farrell, Charles W. Monroe, Alexander J. Van-Brunt
2022	J	`jnl`	Finite-element discretization of the smectic density equation. CoRR Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
2022	J	`jnl`	Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. CoRR Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell
2022	J	`jnl`	Multigrid solvers for the de Rham complex with optimal complexity in polynomial degree. CoRR Pablo D. Brubeck, Patrick E. Farrell
2022	J	`jnl`	One-Dimensional Ferronematics in a Channel: Order Reconstruction, Bifurcations, and Multistability. SIAM J. Appl. Math. James Dalby, Patrick E. Farrell, Apala Majumdar, Jingmin Xia
2022	J	`jnl`	Optimal control of Hopf bifurcations. CoRR Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
2022	J	`jnl`	Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization. CoRR Ioannis P. A. Papadopoulos, Patrick E. Farrell
2022	J	`jnl`	Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations. CoRR Fabian Laakmann, Patrick E. Farrell, Kaibo Hu
2022	J	`jnl`	Two conjectures on the Stokes complex in three dimensions on Freudenthal meshes. CoRR Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott
2022	J	`jnl`	Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns. CoRR Nicolas Boullé, I. Newell, Patrick E. Farrell, Panayotis G. Kevrekidis
2021	J	`jnl`	A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Numer. Linear Algebra Appl. Patrick E. Farrell, Yunhui He, Scott P. MacLachlan
2021	J	`jnl`	A new mixed finite-element method for the biharmonic problem. CoRR Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
2021	J	`jnl`	A scalable and robust preconditioner for high-order FEM based on the fast diagonalization method. CoRR Pablo D. Brubeck, Patrick E. Farrell
2021	J	`jnl`	Accurate numerical simulation of electrodiffusion and water movement in brain tissue. CoRR Ada J. Ellingsrud, Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
2021	J	`jnl`	An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers. CoRR Fabian Laakmann, Patrick E. Farrell, Lawrence Mitchell
2021	J	`jnl`	Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation. CoRR Nicolas Boullé, Vassilios Dallas, Patrick E. Farrell
2021	J	`jnl`	Code Generation for Productive, Portable, and Scalable Finite Element Simulation in Firedrake. Comput. Sci. Eng. Jack D. Betteridge, Patrick E. Farrell, David A. Ham
2021	J	`jnl`	Code generation for productive portable scalable finite element simulation in Firedrake. CoRR Jack D. Betteridge, Patrick E. Farrell, David A. Ham
2021	J	`jnl`	Computing Multiple Solutions of Topology Optimization Problems. SIAM J. Sci. Comput. Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec
2021	J	`jnl`	Control of bifurcation structures using shape optimization. CoRR Nicolas Boullé, Patrick E. Farrell, Alberto Paganini
2021	J	`jnl`	Irksome: Automating Runge-Kutta Time-stepping for Finite Element Methods. ACM Trans. Math. Softw. Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez
2021	J	`jnl`	Monolithic Multigrid Methods for Magnetohydrodynamics. SIAM J. Sci. Comput. James H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro
2021	J	`jnl`	Multilevel Quasi Monte Carlo Methods for Elliptic PDEs with Random Field Coefficients via Fast White Noise Sampling. SIAM J. Sci. Comput. Matteo Croci, Michael B. Giles, Patrick E. Farrell
2021	J	`jnl`	Numerical approximation of viscous contact problems applied to glacial sliding. CoRR Gonzalo Gonzalez de Diego, Patrick E. Farrell, Ian J. Hewitt
2021	J	`jnl`	On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology. CoRR Gonzalo Gonzalez de Diego, Patrick E. Farrell, Ian J. Hewitt
2021	J	`jnl`	PCPATCH: Software for the Topological Construction of Multigrid Relaxation Methods. ACM Trans. Math. Softw. Patrick E. Farrell, Matthew G. Knepley, Lawrence Mitchell, Florian Wechsung
2021	J	`jnl`	Transformations for Piola-mapped elements. CoRR Francis Aznaran, Robert C. Kirby, Patrick E. Farrell
2021	J	`jnl`	Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals. CoRR Jingmin Xia, Patrick E. Farrell
2020	J	`jnl`	A Reynolds-robust preconditioner for the Reynolds-robust Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations. CoRR Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott, Florian Wechsung
2020	J	`jnl`	An Augmented Lagrangian Preconditioner for Implicitly Constituted Non-Newtonian Incompressible Flow. SIAM J. Sci. Comput. Patrick E. Farrell, Pablo Alexei Gazca-Orozco
2020	J	`jnl`	An augmented Lagrangian preconditioner for implicitly-constituted non-Newtonian incompressible flow. CoRR Patrick E. Farrell, Pablo Alexei Gazca-Orozco
2020	J	`jnl`	Augmented Lagrangian preconditioners for the Oseen-Frank model of cholesteric liquid crystals. CoRR Jingmin Xia, Patrick E. Farrell, Florian Wechsung
2020	J	`jnl`	Augmented saddle point formulation of the steady-state Stefan-Maxwell diffusion problem. CoRR Alexander Van-Brunt, Patrick E. Farrell, Charles W. Monroe
2020	J	`jnl`	Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. Commun. Nonlinear Sci. Numer. Simul. Efstathios G. Charalampidis, Nicolas Boullé, Patrick E. Farrell, Panayotis G. Kevrekidis
2020	J	`jnl`	Complexity bounds on supermesh construction for quasi-uniform meshes. J. Comput. Phys. Matteo Croci, Patrick E. Farrell
2020	J	`jnl`	Computing multiple solutions of topology optimization problems. CoRR Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec
2020	J	`jnl`	Deflation for semismooth equations. Optim. Methods Softw. Patrick E. Farrell, Matteo Croci, Thomas M. Surowiec
2020	J	`jnl`	Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation. CoRR Nicolas Boullé, Efstathios G. Charalampidis, Patrick E. Farrell, Panayotis G. Kevrekidis
2020	J	`jnl`	Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow. CoRR Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli
2020	J	`jnl`	Irksome: Automating Runge-Kutta time-stepping for finite element methods. CoRR Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez
2020	J	`jnl`	Monolithic Multigrid for Magnetohydrodynamics. CoRR J. H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro
2020	J	`jnl`	Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation. SIAM J. Numer. Anal. Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli
2020	J	`jnl`	Robust multigrid methods for nearly incompressible elasticity using macro elements. CoRR Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott, Florian Wechsung
2019	J	`jnl`	A local Fourier analysis of additive Vanka relaxation for the Stokes equations. CoRR Patrick E. Farrell, Yunhui He, Scott P. MacLachlan
2019	J	`jnl`	An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier-Stokes Equations at High Reynolds Number. SIAM J. Sci. Comput. Patrick E. Farrell, Lawrence Mitchell, Florian Wechsung
2019	J	`jnl`	Automated Adjoints of Coupled PDE-ODE Systems. SIAM J. Sci. Comput. Patrick E. Farrell, Johan E. Hake, Simon W. Funke, Marie E. Rognes
2019	J	`jnl`	Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. CoRR Efstathios G. Charalampidis, Nicolas Boullé, Patrick E. Farrell, P. G. Kevrekidis
2019	J	`jnl`	Complexity bounds on supermesh construction for quasi-uniform meshes. CoRR Matteo Croci, Patrick E. Farrell
2019	J	`jnl`	Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling. CoRR Matteo Croci, Michael B. Giles, Patrick E. Farrell
2019	J	`jnl`	PCPATCH: software for the topological construction of multigrid relaxation methods. CoRR Patrick E. Farrell, Matthew G. Knepley, Florian Wechsung, Lawrence Mitchell
2018	J	`jnl`	Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation. Commun. Nonlinear Sci. Numer. Simul. Efstathios G. Charalampidis, P. G. Kevrekidis, Patrick E. Farrell
2018	J	`jnl`	Efficient White Noise Sampling and Coupling for Multilevel Monte Carlo with Nonnested Meshes. SIAM/ASA J. Uncertain. Quantification Matteo Croci, Michael B. Giles, Marie E. Rognes, Patrick E. Farrell
2018	J	`jnl`	Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization. SIAM J. Sci. Comput. Alberto Paganini, Florian Wechsung, Patrick E. Farrell
2017	J	`jnl`	A Preconditioner for the Ohta-Kawasaki Equation. SIAM J. Matrix Anal. Appl. Patrick E. Farrell, John W. Pearson
2017	J	`jnl`	Analysis of Carrier's Problem. SIAM J. Appl. Math. S. J. Chapman, Patrick E. Farrell
2017	J	`jnl`	Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems. SIAM J. Sci. Comput. J. H. Adler, David B. Emerson, Patrick E. Farrell, Scott P. MacLachlan
2017	J	`jnl`	Geometric MCMC for infinite-dimensional inverse problems. J. Comput. Phys. Alexandros Beskos, Mark A. Girolami, Shiwei Lan, Patrick E. Farrell, Andrew M. Stuart
2017	J	`jnl`	cbcbeat: an adjoint-enabled framework for computational cardiac electrophysiology. J. Open Source Softw. Marie E. Rognes, Patrick E. Farrell, Simon W. Funke, Johan E. Hake, Mary M. Maleckar
2016	J	`jnl`	The Number of Distinct Eigenvalues of a Matrix After Perturbation. SIAM J. Matrix Anal. Appl. Patrick E. Farrell
2015	J	`jnl`	Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations. SIAM J. Sci. Comput. Patrick E. Farrell, Á. Birkisson, Simon W. Funke
2014	J	`jnl`	A Framework for the Automation of Generalized Stability Theory. SIAM J. Sci. Comput. Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
2013	J	`jnl`	A framework for automated PDE-constrained optimisation CoRR Simon W. Funke, Patrick E. Farrell
2013	J	`jnl`	Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs. SIAM J. Sci. Comput. Patrick E. Farrell, David A. Ham, Simon W. Funke, Marie E. Rognes
2013	J	`jnl`	Tidal turbine array optimisation using the adjoint approach CoRR Simon W. Funke, Patrick E. Farrell, M. D. Piggott
2012	J	`jnl`	A framework for the automation of generalised stability theory CoRR Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
2012	J	`jnl`	Automated derivation of the adjoint of high-level transient finite element programs CoRR Patrick E. Farrell, David A. Ham, Simon W. Funke, Marie E. Rognes
2012	J	`jnl`	Directional integration on unstructured meshes via supermesh construction. J. Comput. Phys. James R. Maddison, Patrick E. Farrell
2012	Misc	`conf`	Hybrid OpenMP/MPI Anisotropic Mesh Smoothing. ICCS Gerard J. Gorman, James Southern, Patrick E. Farrell, M. D. Piggott, Georgios Rokos, Paul H. J. Kelly
2012	J	`jnl`	Parallel anisotropic mesh adaptivity with dynamic load balancing for cardiac electrophysiology. J. Comput. Sci. James Southern, Gerard J. Gorman, M. D. Piggott, Patrick E. Farrell
2011	J	`jnl`	The addition of fields on different meshes. J. Comput. Phys. Patrick E. Farrell
2010	Misc	`conf`	Anisotropic mesh adaptivity for cardiac electrophysiology. ICCS James Southern, Gerard J. Gorman, M. D. Piggott, Patrick E. Farrell, Miguel O. Bernabeu, Joe Pitt-Francis
2010	J	`jnl`	Simulating cardiac electrophysiology using anisotropic mesh adaptivity. J. Comput. Sci. James Southern, Gerard J. Gorman, M. D. Piggott, Patrick E. Farrell, Miguel O. Bernabeu, Joe Pitt-Francis