Error analysis of variational discretization solving temperature control problems

Journal of inequalities and applications

Yuelong Tang¹ 

关键词: variational discretization;    finite element;    optimal control problems;    a priori error estimates;    a posteriori error estimates;   

DOI  :  10.1186/1029-242X-2013-450

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider variational discretization solving temperature control problems with pointwise control constraints, where the state and the adjoint state are approximated by piecewise linear finite element functions, while the control is not directly discretized. We derive a priori error estimates of second-order for the control, the state and the adjoint state. Moreover, we obtain a posteriori error estimates. Finally, we present some numerical algorithms for the control problem and do some numerical experiments to illustrate our theoretical results.

【 授权许可】

CC BY