Determination of an unknown diffusion coefficient in a semilinear parabolic problem

作者：Van Bockstal K^*; Slodicka M

来源：Journal of Computational and Applied Mathematics, 2013, 246: 104-112.

DOI：10.1016/j.cam.2012.05.019

• Parabolic IBVP
• Parameter identification
• Non local boundary condition
• Time discretization
• Convergence

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%26apos;s method is designed and the convergence of approximations towards the solution is shown. The results of numerical experiments are discussed.

• 出版日期2013-7