175 citations · 178 across the 6 of their papers we have counts for
6 papers
Automated Grammar-based Algebraic Multigrid Design With Evolutionary Algorithms
Dinesh Parthasarathy, Wayne Mitchell, Arjun Gambhir +2
Although multigrid is asymptotically optimal for solving many important partial differential equations, its efficiency relies heavily on the careful selection of the individual alg…
Evolving Algebraic Multigrid Methods Using Grammar-Guided Genetic Programming
Dinesh Parthasarathy, Wayne Bradford Mitchell, Harald Köstler
Multigrid methods despite being known to be asymptotically optimal algorithms, depend on the careful selection of their individual components for efficiency. Also, they are mostly…
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…
Advances in Implementation, Theoretical Motivation, and Numerical Results for the Nested Iteration with Range Decomposition Algorithm
Wayne Mitchell, Tom Manteuffel
This paper studies a low-communication algorithm for solving elliptic partial differential equations (PDE's) on high-performance machines, the nested iteration with range decomposi…
Parallel Performance of Algebraic Multigrid Domain Decomposition (AMG-DD)
Wayne B. Mitchell, Robert Strzodka, Robert D. Falgout
Algebraic multigrid (AMG) is a widely used scalable solver and preconditioner for large-scale linear systems resulting from the discretization of a wide class of elliptic PDEs. Whi…
Development and application of a particle-particle particle-mesh Ewald method for dispersion interactions
Rolf E. Isele-Holder, Wayne Mitchell, Ahmed E. Ismail
For inhomogeneous systems with interfaces, the inclusion of long-range dispersion interactions is necessary to achieve consistency between molecular simulation calculations and exp…