A Bound-Constrained Levenburg-Marquardt Algorithm for a Parameter Identification Problem in Electromagnetics
نویسنده
چکیده
Our objective is to solve a parameter identification inverse problem arising in electromagnetics. We give a brief discussion of the methodology used for obtaining forward solutions to Maxwell’s equations in two dimensions, in the presence of a Debye medium. A careful consideration of the noise model for data generation leads to a nonlinear least squares formulation of the inverse problem, and the physical constraints on the parameters lead to bound constraints. An unconstrained Levenburg-Marquardt algorithm is presented, and modifications of this algorithm for use on bound-constrained problems are discussed. Some convergence properties of the constrained algorithm, as well as numerical results from the application of interest are also presented.
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