2 papers
math.OC2025
Source identification via pathwise gradient estimation
Richard B. Lehoucq, Scott A. McKinley, Petr PlecháÄ
In the context of PDE-constrained optimization theory, source identification problems traditionally entail particles emerging from an unknown source distribution inside a domain, m…
math.NA2024
Optimal accuracy for linear sets of equations with the graph Laplacian
Richard B. Lehoucq, Michael Weylandt, Jonathan W. Berry
We show that certain Graph Laplacian linear sets of equations exhibit optimal accuracy, guaranteeing that the relative error is no larger than the norm of the relative residual and…