The Finite Volume Element Method for a Class of Parameter Identification Problem with Overspecified-Data

For the parameter identification problem of parabolic partial differential equation with over specified-data, this paper put forwards the method of using the finite volume element method. We provide the numerical scheme of the unknown function and control parameters by using the finite volume element to approximate the spatial derivative of the dependent variable and a simple backward difference to approximate the temporal derivative of the dependent variable. Then the results of the numerical experiment are presented and are compared with the exact solution to confirm the good accuracy of the presented scheme.