5 citations · 16 across the 48 of their papers we have counts for
4 papers · 1 filter
Tight two-level convergence of Linear Parareal and MGRIT: Extensions and implications in practice
Ben S. Southworth, Wayne Mitchell, Andreas Hessenthaler +1
Two of the most popular parallel-in-time methods are Parareal and multigrid-reduction-in-time (MGRIT). Recently, a general convergence theory was developed in Southworth (2019) for…
AIR algebraic multigrid for a space-time hybridizable discontinuous Galerkin discretization of advection(-diffusion)
Abdullah A. Sivas, Ben S. Southworth, Sander Rhebergen
This paper investigates the efficiency, robustness, and scalability of approximate ideal restriction (AIR) algebraic multigrid as a preconditioner in the all-at-once solution of a…
A note on block-diagonal preconditioning
Ben S. Southworth, Samuel A. Olivier
For 2x2 block matrices, it is well-known that block-triangular or block-LDU preconditioners with an exact Schur complement (inverse) converge in at most two iterations for fixed-po…
Diffusion synthetic acceleration for heterogeneous domains, compatible with voids
Ben S. Southworth, Milan Holec, Terry S. Haut
A standard approach to solving the S transport equations is to use source iteration with diffusion synthetic acceleration (DSA). Although this approach is widely used and effec…