13 citations · 20 across the 6 of their papers we have counts for
5 papers · 1 filter
Optimizing multigrid reduction-in-time (MGRIT) and Parareal coarse-grid operators for linear advection
Hans De Sterck, Robert D. Falgout, Stephanie Friedhoff +2
Parallel-in-time methods, such as multigrid reduction-in-time (MGRIT) and Parareal, provide an attractive option for increasing concurrency when simulating time-dependent PDEs in m…
First-order system least squares finite-elements for singularly perturbed reaction-diffusion equations
James H. Adler, Scott MacLachlan, Niall Madden
We propose a new first-order-system least squares (FOSLS) finite-element discretization for singularly perturbed reaction-diffusion equations. Solutions to such problems feature la…
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…
Convergence analysis for parallel-in-time solution of hyperbolic systems
Hans De Sterck, Stephanie Friedhoff, Alexander J. M. Howse +1
Parallel-in-time algorithms have been successfully employed for reducing time-to-solution of a variety of partial differential equations, especially for diffusive (parabolic-type)…
On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection
Oliver A. Krzysik, Hans De Sterck, Scott P. MacLachlan +1
We consider the parallel time integration of the linear advection equation with the Parareal and two-level multigrid-reduction-in-time (MGRIT) algorithms. Our aim is to develop a b…