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On Nonlinear Inverse Problems of Heat Transfer with Radiation Boundary Conditions : Application to Dehydration of Gypsum Plasterboards Exposed to Fire
Joint Authors
Source
Advances in Numerical Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-13
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The paper investigates boundary optimal controls and parameter estimates to the well-posedness nonlinear model of dehydration of thermic problems.
We summarize the general formulations for the boundary control for initial-boundary value problem for nonlinear partial differential equations modeling the heat transfer and derive necessary optimality conditions, including the adjoint equation, for the optimal set of parameters minimizing objective functions J.
Numerical simulations illustrate several numerical optimization methods, examples, and realistic cases, in which several interesting phenomena are observed.
A large amount of computational effort is required to solve the coupled state equation and the adjoint equation (which is backwards in time), and the algebraic gradient equation (which implements the coupling between the adjoint and control variables).
The state and adjoint equations are solved using the finite element method.
American Psychological Association (APA)
Belmiloudi, A.& Mahé, F.. 2014. On Nonlinear Inverse Problems of Heat Transfer with Radiation Boundary Conditions : Application to Dehydration of Gypsum Plasterboards Exposed to Fire. Advances in Numerical Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-486880
Modern Language Association (MLA)
Belmiloudi, A.& Mahé, F.. On Nonlinear Inverse Problems of Heat Transfer with Radiation Boundary Conditions : Application to Dehydration of Gypsum Plasterboards Exposed to Fire. Advances in Numerical Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-486880
American Medical Association (AMA)
Belmiloudi, A.& Mahé, F.. On Nonlinear Inverse Problems of Heat Transfer with Radiation Boundary Conditions : Application to Dehydration of Gypsum Plasterboards Exposed to Fire. Advances in Numerical Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-486880
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486880