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Identification of Flexural Rigidity in a Kirchhoff Plates Model Using a Convex Objective and Continuous Newton Method
Joint Authors
Jadamba, B.
Kahler, R.
Khan, A. A.
Raciti, F.
Winkler, B.
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This work provides a detailed theoretical and numerical study of the inverse problem of identifying flexural rigidity in Kirchhoff plate models.
From a mathematical standpoint, this inverse problem requires estimating a variable coefficient in a fourth-order boundary value problem.
This inverse problem and related estimation problems associated with general plates and shell models have been investigated by numerous researchers through an optimization framework using the output least-squares (OLSs) formulation.
OLS yields a nonconvex framework and hence it is suitable for investigating only the local behavior of the solution.
In this work, we propose a new convex framework for the inverse problem of identifying a variable parameter in a fourth-order inverse problem.
Existence results, optimality conditions, and discretization issues are discussed in detail.
The discrete inverse problem is solved by using a continuous Newton method.
Numerical results show the feasibility of the proposed framework.
American Psychological Association (APA)
Jadamba, B.& Kahler, R.& Khan, A. A.& Raciti, F.& Winkler, B.. 2015. Identification of Flexural Rigidity in a Kirchhoff Plates Model Using a Convex Objective and Continuous Newton Method. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073428
Modern Language Association (MLA)
Jadamba, B.…[et al.]. Identification of Flexural Rigidity in a Kirchhoff Plates Model Using a Convex Objective and Continuous Newton Method. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1073428
American Medical Association (AMA)
Jadamba, B.& Kahler, R.& Khan, A. A.& Raciti, F.& Winkler, B.. Identification of Flexural Rigidity in a Kirchhoff Plates Model Using a Convex Objective and Continuous Newton Method. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073428
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073428