1 citations · 1 across the 8 of their papers we have counts for
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Achieving - and -robust monolithic multigrid solvers for the Stokes equations
Amin Rafiei, Scott MacLachlan
The numerical analysis of higher-order mixed finite-element discretizations for saddle-point problems, such as the Stokes equations, has been well-studied in recent years. While th…
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations
Alexey Voronin, Graham Harper, Scott MacLachlan +2
This work introduces and assesses the efficiency of a monolithic MG multigrid framework designed for high-order discretizations of stationary Stokes systems using Taylor-Hood a…
Space-time waveform relaxation multigrid for Navier-Stokes
James Jackaman, Scott MacLachlan
Space-time finite-element discretizations are well-developed in many areas of science and engineering, but much work remains within the development of specialized solvers for the r…
Extending Irksome: improvements in automated Runge--Kutta time stepping for finite element methods
Robert C. Kirby, Scott P. MacLachlan
Irksome is a library based on the Unified Form Language (UFL) that enables automated generation of Runge--Kutta methods for time-stepping finite element spatial discretizations of…
Exploiting mesh structure to improve multigrid performance for saddle point problems
Lukas Spies, Luke Olson, Scott MacLachlan
In recent years, solvers for finite-element discretizations of linear or linearized saddle-point problems, like the Stokes and Oseen equations, have become well established. There…