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...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.展开更多
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)+1 种基金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).
文摘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.
