3 papers
math.NA2025
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…
math.NA2025
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…
math.NA2024
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…