摘要
This paper seeks to identify the coefficient v in the steady-state diffusion equa-tion -div(v gradu) = f for two dimensional anisotropic medium in a boundeddomain Ω from two known solutions u1, u2 of the corresponding Dirichlet prob-lems, where f is known, v takes diagonal matrix values, which are given at theboundary of Ω, and may have mild discontinuities. This problem is solved byminimization of an associated functional. We propose an alternating Neubergergradient algorithm, and show the results of numerical experiments.
This paper seeks to identify the coefficient v in the steady-state diffusion equation -div(vgradu)= f for two dimensional anisotropic medium in a bounded domain Ω from two known solutions ul, u2 of the corresponding Dirichlet problems, where f is known, v takes diagonal matrix values, which are given at the boundary of Ω, and may have mild discontinuities. This problem is solved by minimization of an associated functional. We propose an alternating Neuberger gradient algorithm, and show the results of numerical experiments.
出处
《计算数学》
CSCD
北大核心
2003年第2期145-156,共12页
Mathematica Numerica Sinica
基金
国家重点基础研究规划项目资助(G1999
0328).
