154 citations · 154 across the 1 of their papers we have counts for
3 papers
Composing Scalable Nonlinear Algebraic Solvers
Peter R. Brune, Matthew G. Knepley, Barry F. Smith +1
Most efficient linear solvers use composable algorithmic components, with the most common model being the combination of a Krylov accelerator and one or more preconditioners. A sim…
Analytical Nonlocal Electrostatics Using Eigenfunction Expansions of Boundary-Integral Operators
Jaydeep P. Bardhan, Matthew G. Knepley, Peter R. Brune
In this paper, we present an analytical solution to nonlocal continuum electrostatics for an arbitrary charge distribution in a spherical solute. Our approach relies on two key ste…
Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and Graded Meshes
Peter R. Brune, Matthew G. Knepley, L. Ridgway Scott
The use of multigrid and related preconditioners with the finite element method is often limited by the difficulty of applying the algorithm effectively to a problem, especially wh…