LSSC 2015: Large-Scale Scientific Computing pp 80-87 | Cite as
Computational Identification of the Right Hand Side of the Parabolic Equations in Problems of Filtration
Abstract
In this paper, we will consider the right-hand side of a parabolic equation in a multidimensional domain, which depends only on time. For the numerical solution of the initial boundary value problem, a homogeneous implicit differential scheme is used. The problem at a particular time level is solved on the basis of a special decomposition into two standard elliptic boundary value problems. We discuss the results of numerical experiments for a model problem of filtration theory.
Keywords
Inverse problem Identification of the coefficient Parabolic partial differential equation Difference schemeNotes
Acknowledgments
The authors express their sincere gratitude to Professor P.N.Vabischevich for ideas of problem formulation and fruitful discussions. This work is financially supported by RFBR (projects 13-01-00719, 15-31-20856).
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