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

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

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...

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Bibliographic Details
Main Authors: Satyajith Bommana Boyana, Thomas Lewis, Sijing Liu, Yi Zhang
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Results in Applied Mathematics
Subjects:
Elliptic optimal control problem
Box constraints
Discontinuous Galerkin methods
Dual-wind DG methods
A priori error analysis
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037425000883
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Summary: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 L2 norm of the control variable. Numerical experiments are provided to demonstrate the robustness and effectiveness of the developed scheme.
ISSN:2590-0374

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