摘要
讨论了二维正交异性介质的稳态扩散方程-div(vgradu)=f中参数v的反演问题.构造了一相关泛函,证明了它的一些性质,在一定条件下,使用极小化这一泛函的方法来反演参数v.
In this paper, the inverse problem to identify the coefficient v in the steady-state diffusion equation-div（v grad u）= f for two dimensional orthotropic medium is discussed. We construct an associated functional, and prove some properties of the functional. Under certain conditions, we seek to identify the coefficient v by minimization of the above functional.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
2006年第2期101-105,共5页
Journal of Ningxia University(Natural Science Edition)
基金
SupportedbyNationalScienceFoundationofChina(1041149)
关键词
反问题
椭圆型方程
正交异性
inverse problems
elliptic equations
orthotropic
