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math.NA2025
A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equation
SeongHee Jeong, Seulip Lee, Sijing Liu
We propose and analyze a monotone finite element method for an elliptic distributed optimal control problem constrained by a convection-diffusion-reaction equation in the convectio…
math.NA2025
Convergence Analysis of a Dual-Wind Discontinuous Galerkin Method for an Elliptic Optimal Control Problem with Control Constraints
Satyajith Bommana Boyana, Thomas Lewis, Sijing Liu +1
This paper investigates a symmetric dual-wind discontinuous Galerkin (DWDG) method for solving an elliptic optimal control problem with control constraints. The governing constrain…