6 papers
Automated Galerkin time stepping in Irksome
Boris D. Andrews, Pablo Brubeck, Patrick E. Farrell +2
As the study of temporal and spatial discretization schemes continues to advance, recent work has focused on the use of Galerkin-in-time discretization schemes that enable broader…
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…
Improving patch selection for monolithic multigrid solvers for high-order {T}aylor-{H}ood discretizations
Amin Rafiei, Scott MacLachlan
Numerical simulation of incompressible fluid flows has been an active topic of research in Scientific Computing for many years, with many contributions to both discretizations and…
Automated Runge-Kutta-Nyström time stepping for finite element methods in Irksome
Robert C. Kirby, Scott P. MacLachlan, Pablo D. Brubeck
Irksome is a library based on the Unified Form Language (UFL) that automates the application of Runge-Kutta time-stepping methods for finite element spatial discretizations of part…
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…
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…