Abstract
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.
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Marinov, T.T., Marinova, R. (2012). An Inverse Problem for the Stationary Kirchhoff Equation. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2011. Lecture Notes in Computer Science, vol 7116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_68
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DOI: https://doi.org/10.1007/978-3-642-29843-1_68
Publisher Name: Springer, Berlin, Heidelberg
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