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We study boundary determination for an inverse problem associated to thetime-harmonic Maxwell equations and another associated to the isotropicelasticity system. We identify the electromagnetic parameters and the Lam\'emoduli for these two systems from the corresponding boundary measurements. In afirst step we reconstruct Lipschitz magnetic permeability, electricpermittivity and conductivity on the surface from the ideal boundarymeasurements. Then, we study inverse problems for Maxwell equations and theisotropic elasticity system assuming that the data contains measurement errors.For both systems, we provide explicit formulas to reconstruct the parameters onthe boundary as well as its rate of convergence formula.

Boundary determination of electromagnetic and Lam\'e parameters with corrupted data