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This paper concerns the numerical resolution of a data completion problem forthe time-harmonic Maxwell equations in the electric field. The aim is torecover the missing data on the inaccessible part of the boundary of a boundeddomain from measured data on the accessible part. The non-iterativequasi-reversibility method is studied and different mixed variationalformulations are proposed. Well-posedness, convergence and regularity resultsare proved. Discretization is performed by means of edge finite elements.Various two- and three-dimensional numerical simulations attest the efficiencyof the method, in particular for noisy data.

Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell's equations