2 papers
math.NA2026
WING: A Simple Windowed Nonorthogonalized Initial Guess Procedure for Repeated Matrix Solves
David Wells, Matthew G. Knepley, Boyce E. Griffith
Many numerical methods require solution of a sequence of linear systems with the same matrix and similar right-hand sides. Krylov subspace methods are a common tool for solving suc…
math.NA2026
Error Estimation for Adaptive Mesh Refinement in Droplet Simulations
Darsh Nathawani, Matthew Knepley
We present a one-dimensional shear-force-driven droplet formation model with a flux-based error estimator. The model is derived using asymptotic expansion and a front-tracking meth…