Advertisement
Published in:
2012 | OriginalPaper | Chapter
An Inverse Problem for the Stationary Kirchhoff Equation
Authors : Tchavdar T. Marinov, Rossitza Marinova
Published in: Large-Scale Scientific Computing
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
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.