A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro-differential equations

Journal of inequalities and applications

Zuliang Lu¹ 

关键词: optimal control problems;    integro-differential equations;    mixed finite element methods;    a posteriori error estimates;   

DOI  :  10.1186/1029-242X-2013-351

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the mixed finite element methods for general convex optimal control problems governed by integro-differential equations. The state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces and the control is discretized by piecewise constant elements. We derive a posteriori error estimates for the coupled state and control approximation. Such estimates are obtained for some model problems which frequently appear in many applications. MSC:49J20, 65N30.

【 授权许可】

CC BY