|
|||||
|
|
A Goal-Oriented Adaptive Moreau-Yosida Algorithm for Control- and State-Constrained Elliptic Control Problems |
|
| Authors: | Andreas Gü nther & Moulay Hicham Tber |
| Abstract: | In this work, we develop an adaptive algorithm for solving elliptic optimal control problems with simultaneously appearing state and control constraints. The algorithm combines a Moreau-Yosida technique for handling state constraints with a semi-smooth Newton method for solving the optimality systems of the regularized sub-problems. The state and adjoint variables are discretized using continuous piecewise linear finite elements while a variational discretization concept is applied for the control. To perform the adaptive mesh refinements cycle we derive local error estimators which extend the goal-oriented error approach to our setting. The performance of the overall adaptive solver is assessed by numerical examples. |
| Keywords: | Elliptic optimal control problem control and state constraints Moreau-Yosida regularization semi-smooth Newton method variational discretization goal-oriented adaptivity |
| 点击此处可从《advances in applied mathematics and mechanics.》浏览原始摘要信息 | |
