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Convergence rates of Tikhonov regularization for parameter identification in a Maxwell system

In this paper, we investigate the convergence rates of the widely used output least squares method with Tikhonov regularization for the identification of the magnetic permeability in a Maxwell system. By introducing some new techniques, we derive a simple and easily interpretable source condition and guarantee the usual convergence rate O( ) for the regularized solutions, where is assumed to be the noise level of the data. More importantly, we finally construct the source functions successfully in two-dimensional spaces.