4 papers
Two-scale neural networks for optimal control of linear convection-dominated equations
Sijing Liu, Marcus Sarkis, Yi Zhang +1
We propose a two-scale neural network method for optimal control problems governed by convection-dominated convection-diffusion-reaction equations. Building on two-scale architectu…
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…
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…
Convergence analysis of novel discontinuous Galerkin methods for a convection dominated problem
Satyajith Bommana Boyana, Thomas Lewis, Sijing Liu +1
In this paper, we propose and analyze a numerically stable and convergent scheme for a convection-diffusion-reaction equation in the convection-dominated regime. Discontinuous Gale…