WSEAS Transactions on Heat and Mass Transfer


Print ISSN: 1790-5044
E-ISSN: 2224-3461

Volume 12, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


An Efficient Method for Simultaneously Reconstructing Robin Coefficient and Heat Flux in an Elliptic Equation Using an MCGM

AUTHORS: Talaat Abdelhamid, Olatunji Mumini Omisore

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ABSTRACT: A modified conjugate gradient method (MCGM) is proposed for simultaneously reconstructing Robin coefficient and heat flux in an elliptic system from a single part of the boundary measurements of the solution. The simultaneous identification problem is formulated as a constrained optimization problem using the output least squares method with Tikhonov regularization. The differentiability and adjoint equations are investigated for finding the gradient formulas and determining the step lengths, respectively. Finite element method is employed to discretize the constrained optimization problem which reduced to a sequence of unconstrained optimization problem by adding the regularization term. Some comparisons are presented with the Levenberg-Marquardt method proposed by [1]. Numerical examples investigate the efficiency and accuracy of the proposed algorithm.

KEYWORDS: Simultaneous identification, Numerical reconstruction, Heat flux and Robin coefficient, Tikhonov’s regularization, FEM, MCGM.

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WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 12, 2017, Art. #15, pp. 122-135


Copyright © 2017 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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