57 citations · 131 across the 64 of their papers we have counts for
4 papers · 1 filter
On fixed-point, Krylov, and block preconditioners for nonsymmetric problems
Ben S. Southworth, Abdullah A. Sivas, Sander Rhebergen
The solution of matrices with block structure arises in numerous areas of computational mathematics, such as PDE discretizations based on mixed-finite element methods,…
Parallel Approximate Ideal Restriction Multigrid for Solving the S Transport Equations
Joshua Hanophy, Ben S. Southworth, Ruipeng Li +2
The computational kernel in solving the transport equations is the parallel sweep, which corresponds to directly inverting a block lower triangular linear system that arises…
On "Optimal" h-Independent Convergence of Parareal and MGRIT using Runge-Kutta Time Integration
Stephanie Friedhoff, Ben S. Southworth
Although convergence of the Parareal and multigrid-reduction-in-time (MGRIT) parallel-in-time algorithms is well studied, results on their optimality is limited. Appealling to rece…
The Role of Energy Minimization in Algebraic Multigrid Interpolation
James Brannick, Scott P. MacLachlan, Jacob B. Schroder +1
Algebraic multigrid (AMG) methods are powerful solvers with linear or near-linear computational complexity for certain classes of linear systems, Ax=b. Broadening the scope of prob…