256 citations · 934 across the 55 of their papers we have counts for
3 papers · 2 filters
A preconditioner for the Ohta--Kawasaki equation
Patrick E. Farrell, John W. Pearson
We propose a new preconditioner for the Ohta--Kawasaki equation, a nonlocal Cahn--Hilliard equation that describes the evolution of diblock copolymer melts. We devise a computable…
The computation of disconnected bifurcation diagrams
Patrick E. Farrell, Casper H. L. Beentjes, Ásgeir Birkisson
Arclength continuation and branch switching are enormously successful algorithms for the computation of bifurcation diagrams. Nevertheless, their combination suffers from three sig…
A Deflation Technique for Detecting Multiple Liquid Crystal Equilibrium States
J. H. Adler, D. B. Emerson, P. E. Farrell +1
Multiple equilibrium states arise in many physical systems, including various types of liquid crystal structures. Having the ability to reliably compute such states enables more ac…