An Inverse Problem for the Stationary Kirchhoff Equation

  • Tchavdar T. Marinov
  • Rossitza Marinova
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7116)


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.


Inverse Problem Original Equation Plate Equation Additional Boundary Condition Fourth Order Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Tchavdar T. Marinov
    • 1
  • Rossitza Marinova
    • 2
  1. 1.Department of Natural SciencesSouthern University at New OrleansNew OrleansUSA
  2. 2.Department of Mathematical and Computing SciencesConcordia University College of AlbertaEdmontonCanada

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