一类参数识别问题的有限体积元计算

The Finite Volume Element Method of a Class of Parameter Identification Problems

针对一个具有附加条件的抛物型偏微分方程的参数识别问题,提出了使用有限体积元法求数值解的方法,给出了未知函数和控制参数的数值解格,通过具体数例的数值解与精确解对比,表明该格式计算结果良好。

Contraposing the parameter identification problem of a parabolic partial differential equation with overspecified-data,this paper puts forward the method of using the finite volume element.The numerical solution of the unknown function and control parameters is provided.Then this format has been proved to give good caculation result by the comparasion between the numerical solution and the exact solution of the specific example.