A Posteriori Error Estimates of Triangular Mixed Finite Element Methods for Semi linear Optimal Control Problems

作者：Lu, Zuliang; Chen, Yanping^*

来源：Advances in Applied Mathematics and Mechanics, 2009, 1(2): 242-256.

• Semilinear optimal control problems
• mixed finite element methods
• a posteriori error estimates

In this paper, we present an a posteriori error estimates of semilinear quadratic constrained optimal control problems using triangular mixed finite element methods. The state and co-state are approximated by the order k <= 1 Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant element. We derive a posteriori error estimates for the coupled state and control approximations. A numerical example is presented in confirmation of the theory.

• 出版日期2009-4
• 单位湘潭大学; 华南师范大学