Determination of an unknown diffusion coefficient in a semilinear parabolic problem

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:246

Article

Van Bockstal, K.¹  Slodicka, M.¹ 

[1] Univ Ghent, Dept Math Anal, Res Grp NaM2, B-9000 Ghent, Belgium

关键词: Parabolic IBVP;    Parameter identification;    Non local boundary condition;    Time discretization;    Convergence;   

DOI  :  10.1016/j.cam.2012.05.019

来源: Elsevier

【 摘 要 】

A semilinear parabolic problem of second order with an unknown diffusion coefficient in a subregion is considered. The missing data are compensated by a total flux condition through a given surface. The solvability of this problem is proved. A numerical algorithm based on Rothe's method is designed and the convergence of approximations towards the solution is shown. The results of numerical experiments are discussed. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free