摘要
In this paper,the Crank-Nicolson linear finite volume element method is applied to solve the distributed optimal control problems governed by a parabolic equation.The optimal convergent order O(h^(2)+k^(2))is obtained for the numerical solution in a discrete L^(2)-norm.A numerical experiment is presented to test the theoretical result.
基金
This work is supported by National Natural Science Foundation of China(Grant Nos.11271145 and 11031006)
Foundation of Guizhou Science and Technology Department(Grant No.[2011]2098)
Foundation for Talent Introduction of Guangdong Provincial University,Specialized Research Fund for the Doctoral Programof Higher Education(Grant No.20114407110009)
the Project of Department of Education of Guangdong Province(Grant No.2012KJCX0036).
