256 citations · 934 across the 55 of their papers we have counts for
63 papers
Controlling the energy jump of multistable structures using shape optimization
Arselane Hadj Slimane, Patrick E. Farrell, Alberto Paganini +1
Multistable systems admit distinct stable equilibria for the same loading and boundary conditions. Shape optimization of multistable structures offers a promising route to engineer…
A full approximation scheme multilevel method for nonlinear variational inequalities
Ed Bueler, Patrick E. Farrell
We present the full approximation scheme constraint decomposition (FASCD) multilevel method for solving variational inequalities (VIs). FASCD is a common extension of both the full…
Discrete Breathers in Klein-Gordon Lattices: a Deflation-Based Approach
F. Martin-Vergara, J. Cuevas-Maraver, P. E. Farrell +2
Deflation is an efficient numerical technique for identifying new branches of steady state solutions to nonlinear partial differential equations. Here, we demonstrate how to extend…
Colloidal smectics in button-like confinements: experiment and theory
René Wittmann, Paul A. Monderkamp, Jingmin Xia +5
Liquid crystals can self-organize into a layered smectic phase. While the smectic layers are typically straight forming a lamellar pattern in bulk, external confinement may drastic…
Structural electroneutrality in Onsager-Stefan-Maxwell transport with charged species
Alexander Van-Brunt, Patrick E. Farrell, Charles W. Monroe
We present a method to embed local electroneutrality within Onsager-Stefan-Maxwell electrolytic-transport models, circumventing their formulation as differential systems with an al…
Multigrid solvers for the de Rham complex with optimal complexity in polynomial degree
Pablo D. Brubeck, Patrick E. Farrell
The Riesz maps of the de Rham complex frequently arise as subproblems in the construction of fast preconditioners for more complicated problems. In this work we present multi…