Title :
The Finite Volume Element Method for a Class of Parameter Identification Problem with Overspecified-Data
Author :
Zhiguang Xiong ; Kang Deng ; Yanping Liu ; Xiaocui Yan
Author_Institution :
Sch. of Math. & Comput. Sci., Hunan Univ. of Sci. & Technol., Xiangtan, China
Abstract :
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.
Keywords :
finite element analysis; finite volume methods; parabolic equations; parameter estimation; partial differential equations; backward difference; control parameters; dependent variable; finite volume element method; numerical scheme; overspecified-data; parabolic partial differential equation; parameter identification problem; spatial derivative approximation; temporal derivative approximation; Accuracy; Approximation methods; Equations; Finite element analysis; Inverse problems; Partial differential equations; Control parameter; Error estimates; Finite volume element; Parabolic partial differential equation;
Conference_Titel :
Emerging Intelligent Data and Web Technologies (EIDWT), 2013 Fourth International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4799-2140-9
DOI :
10.1109/EIDWT.2013.22
