Summary
The paper deals with nonconforming finite element methods for the approximate solution of the interior boundary value problem for Maxwell equations in the time-harmonic case. The methods are based on penalization in the boundary conditions of total reflexion. Qualitative convergence results are obtained by a-priori estimates which are proven in the first part of this paper. The main object is to establish estimates for the global discretization error in various norms of the underlying spaces of approximating vector fields.
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Hoppe, R.H.W. A penalty method for the approximate solution of stationary Maxwell equations. Numer. Math. 36, 389–403 (1981). https://doi.org/10.1007/BF01395954
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DOI: https://doi.org/10.1007/BF01395954