256 citations · 934 across the 55 of their papers we have counts for
3 papers · 1 filter
Automated adjoints of coupled PDE-ODE systems
Patrick E. Farrell, Johan E. Hake, Simon W. Funke +1
Mathematical models that couple partial differential equations (PDEs) and spatially distributed ordinary differential equations (ODEs) arise in biology, medicine, chemistry and man…
Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms
David B. Emerson, Patrick E. Farrell, James H. Adler +2
We study the problem of a cholesteric liquid crystal confined to an elliptical channel. The system is geometrically frustrated because the cholesteric prefers to adopt a uniform ra…
Higher-order moving mesh methods for PDE-constrained shape optimization
A. Paganini, F. Wechsung, P. E. Farrell
We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatib…