9 citations · 17 across the 4 of their papers we have counts for
3 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…
A Class of Analytic Solutions for Verification and Convergence Analysis of Linear and Nonlinear Fluid-Structure Interaction Algorithms
Andreas Hessenthaler, Maximilian Balmus, Oliver Röhrle +1
Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a br…
Multilevel convergence analysis of multigrid-reduction-in-time
Andreas Hessenthaler, Ben S. Southworth, David Nordsletten +3
This paper presents a multilevel convergence framework for multigrid-reduction-in-time (MGRIT) as a generalization of previous two-grid estimates. The framework provides a priori u…