Space-Time Discontinuous Galerkin Solution of Convection Dominated Optimal Control Problems
Optimization and Control
2013-08-09 v1
Abstract
In this paper, a space-time discontinuous Galerkin finite element method for distributed optimal control problems governed by unsteady diffusion-convection-reaction equations with control constraints is studied. Time discretization is performed by discontinuous Galerkin method with piecewise constant and linear polynomials, while symmetric interior penalty Galerkin with upwinding is used for space discretization. The numerical results presented confirm the theoretically observed convergence rates.
Keywords
Cite
@article{arxiv.1308.1869,
title = {Space-Time Discontinuous Galerkin Solution of Convection Dominated Optimal Control Problems},
author = {Tuğba Akman and Bülent Karasözen},
journal= {arXiv preprint arXiv:1308.1869},
year = {2013}
}
Comments
19 pages, 4 figures, contributed talk given at "3rd European Conference on Computational Optimization 2013"