2 papers
math.NA2026
Duality Framework for Flux Constrained Flow in Porous Media: Analysis and Numerics
Harbir Antil, Keegan L. A. Kirk, Felipe Pérez
We introduce and analyze Darcy flow through a saturated porous medium subject to bilateral constraints on the normal flux across a portion of the boundary. The problem is posed as…
math.OC2025
Optimal Boundary Control of Diffusion on Graphs via Linear Programming
Harbir Antil, Rainald Löhner, Felipe Pérez
We propose a linear programming (LP) framework for steady-state diffusion and flux optimization on geometric networks. The state variable satisfies a discrete diffusion law on a we…