Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10136142 | Applied Mathematical Modelling | 2019 | 27 Pages |
Abstract
In the present work, we consider a nonlinear inverse problem of identifying the lowest coefficient of a parabolic equation. The desired coefficient depends on spatial variables only. Additional information about the solution is given at the final time moment, i.e., we consider the final redefinition. An iterative process is used to evaluate the lowest coefficient, where at each iteration we solve the standard initial-boundary value problem for the parabolic equation. On the basis of the maximum principle for the solution of the differential problem, the monotonicity of the iterative process is established along with the fact that the coefficient is approached from above. The possibilities of the proposed computational algorithm are illustrated by numerical examples for a model two-dimensional problem.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Petr N. Vabishchevich,