WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 12, 2017
An Efficient Method for Simultaneously Reconstructing Robin Coefficient and Heat Flux in an Elliptic Equation Using an MCGM
Authors: ,
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.
Search Articles
Keywords: Simultaneous identification, Numerical reconstruction, Heat flux and Robin coefficient, Tikhonov’s regularization, FEM, MCGM
Pages: 122-135
WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 12, 2017, Art. #15