EQUIVALENT A POSTERIORI ERROR ESTIMATES FOR SPECTRAL ELEMENT SOLUTIONS OF CONSTRAINED OPTIMAL CONTROL PROBLEM IN ONE DIMENSION

作者：Ye, X.^*

来源：Bulletin of the Iranian Mathematical Society, 2016, 42(1): 1-18.

• Optimal control problem
• spectral element method
• a posteriori error estimates
• control constraint
• polynomial inverse estimates

In this paper, we study spectral element approximation for a constrained optimal control problem in one dimension. The equivalent a posteriori error estimators are derived for the control, the state and the adjoint state approximation. Such estimators can be used to construct adaptive spectral elements for the control problems.

• 出版日期2016-2
• 单位集美大学