Work

Convergence analysis of a dual-wind discontinuous Galerkin method for an elliptic optimal control problem with control constraints

Year: 2025

Type: article

Abstract: This paper investigates a symmetric dual-wind discontinuous Galerkin (DWDG) method for solving an elliptic optimal control problem with control constraints. The governing constraint is an elliptic partial differential equation (PDE), which is discretized using the symmetric DWDG approach. We derive error estimates in the energy norm for both the state and the adjoint state, as well as in the L 2 norm of the control variable. Numerical experiments are provided to demonstrate the robustness and effectiveness of the developed scheme.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2025.100624

Authors: Satyajith Bommana Boyana, Thomas Lewis, Sijing Liu, Yi Zhang

Institutions: University of North Carolina at Greensboro, Worcester Polytechnic Institute

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,770

Funders: National Science Foundation, Florida Polytechnic University, Division of Mathematical Sciences