登入
選單
返回
Google圖書搜尋
Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-diffusion Equations
Hamdullah Yücel
Martin Stoll
Peter Benner
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.