256 citations · 934 across the 55 of their papers we have counts for
4 papers · 2 filters
Complexity bounds on supermesh construction for quasi-uniform meshes
M. Croci, P. E. Farrell
Projecting fields between different meshes commonly arises in computational physics. This operation requires a supermesh construction and its computational cost is proportional to…
Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling
M. Croci, M. B. Giles, P. E. Farrell
When solving partial differential equations with random fields as coefficients the efficient sampling of random field realisations can be challenging. In this paper we focus on the…
A local Fourier analysis of additive Vanka relaxation for the Stokes equations
Patrick E. Farrell, Yunhui He, Scott P. MacLachlan
Multigrid methods are popular solution algorithms for many discretized PDEs, either as standalone iterative solvers or as preconditioners, due to their high efficiency. However, th…
Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: Three-Field Formulation
Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli
In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relatio…