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Erschienen in:
2012 | OriginalPaper | Buchkapitel
An Inverse Problem for the Stationary Kirchhoff Equation
verfasst von : Tchavdar T. Marinov, Rossitza Marinova
Erschienen in: Large-Scale Scientific Computing
Verlag: Springer Berlin Heidelberg
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This work is concerned with the development of numerical methods and algorithms for solving the inverse problem for parameter identification from over-determined data in Kirchhoff plate equations. A technique called Method of Variational Imbedding is used for solving the inverse problem. The original inverse problem is replaced by a minimization problem. The Euler-Lagrange equations comprise a higher-order system of equations for the solution of the original equation and for the coefficients. In the present work, difference scheme and numerical algorithm for solving the Euler-Lagrange system are proposed. Results for different values of the governing parameters and the physical relevance are presented.