2 citations · 2 across the 7 of their papers we have counts for
4 papers · 1 filter
Conservative and dissipative discretisations of multi-conservative ODEs and GENERIC systems
Boris D. Andrews, Patrick E. Farrell
Ordinary and partial differential equations describing thermodynamically isolated systems typically possess conserved quantities (like mass, momentum, and energy) and dissipated qu…
Finite element methods for electroneutral multicomponent electrolyte flows
Aaron Baier-Reinio, Patrick E. Farrell, Charles W. Monroe
We present a broad family of high-order finite element algorithms for simulating the flow of electroneutral electrolytes. The governing partial differential equations that we solve…
The latent variable proximal point algorithm for variational problems with inequality constraints
Jørgen S. Dokken, Patrick E. Farrell, Brendan Keith +2
The latent variable proximal point (LVPP) algorithm is a framework for solving infinite-dimensional variational problems with pointwise inequality constraints. The algorithm is a s…
Helicity-preserving finite element discretization for magnetic relaxation
Mingdong He, Patrick E. Farrell, Kaibo Hu +1
The Parker conjecture, which explores whether magnetic fields in perfectly conducting plasmas can develop tangential discontinuities during magnetic relaxation, remains an open que…