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Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-diffusion Equations

出版	Max Planck Institute for Dynamics of Complex Technical Systems, 2015
URL	http://books.google.com.hk/books?id=SMfAuQEACAAJ&hl=&source=gbs_api

註釋Abstract: In this paper, we investigate an a posteriori error estimate of a control constrained optimal control problem governed by a time-dependent convection diffusion equation. Control constraints are handled by using the primal-dual active set algorithm as a semi-smooth Newton method or by adding a Moreau-Yosida-type penalty function to the cost functional. An adaptive mesh refinement indicated by a posteriori error estimates is applied for both approaches. A symmetric interior penalty Galerkin method in space and a backward Euler in time are applied in order to discretize the optimization problem. Numerical results are presented, which illustrate the performance of the proposed error estimator.