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Coefficient identification in Euler–Bernoulli equation from over-posed data

A method for solving the inverse problem for coefficient identification in the Euler–Bernoulli equation from over-posed data is presented. The original inverse problem is replaced by a minimization problem. The method is applied to the problem for identifying the coefficient in the case when it is a...

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Published in:	Journal of computational and applied mathematics 2010-11, Vol.235 (2), p.450-459
Main Authors:	Marinov, Tchavdar T., Marinova, Rossitza S.
Format:	Article
Language:	English
Subjects:	Approximation Calculus of variations and optimal control Coefficient identification Coefficients Computer simulation Euler-Bernoulli equation Exact sciences and technology Imbeddings Inverse problem Inverse problems Mathematical analysis Mathematical models Mathematics Method of Variational Imbedding Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization Partial differential equations Sciences and techniques of general use
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description	A method for solving the inverse problem for coefficient identification in the Euler–Bernoulli equation from over-posed data is presented. The original inverse problem is replaced by a minimization problem. The method is applied to the problem for identifying the coefficient in the case when it is a piece-wise polynomial function. Several examples are elaborated and the numerical results confirm that the solution of the imbedding problem coincides with the direct simulation of the original problem within the second order of approximation.
doi_str_mv	10.1016/j.cam.2010.05.048
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The original inverse problem is replaced by a minimization problem. The method is applied to the problem for identifying the coefficient in the case when it is a piece-wise polynomial function. Several examples are elaborated and the numerical results confirm that the solution of the imbedding problem coincides with the direct simulation of the original problem within the second order of approximation.</description><identifier>ISSN: 0377-0427</identifier><identifier>EISSN: 1879-1778</identifier><identifier>DOI: 10.1016/j.cam.2010.05.048</identifier><identifier>CODEN: JCAMDI</identifier><language>eng</language><publisher>Kidlington: Elsevier B.V</publisher><subject>Approximation ; Calculus of variations and optimal control ; Coefficient identification ; Coefficients ; Computer simulation ; Euler-Bernoulli equation ; Exact sciences and technology ; Imbeddings ; Inverse problem ; Inverse problems ; Mathematical analysis ; Mathematical models ; Mathematics ; Method of Variational Imbedding ; Numerical analysis ; Numerical analysis in abstract spaces ; Numerical analysis. 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subjects	Approximation Calculus of variations and optimal control Coefficient identification Coefficients Computer simulation Euler-Bernoulli equation Exact sciences and technology Imbeddings Inverse problem Inverse problems Mathematical analysis Mathematical models Mathematics Method of Variational Imbedding Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization Partial differential equations Sciences and techniques of general use
title	Coefficient identification in Euler–Bernoulli equation from over-posed data
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