Adv. Appl. Math. Mech., 10 (2018), pp. 797-818.
Published online: 2018-06
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We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive optimal a priori error estimates for the state, dual state, and the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0223}, url = {http://global-sci.org/intro/article_detail/aamm/12496.html} }We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive optimal a priori error estimates for the state, dual state, and the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.