A new mixed finite element approximation of Maxwell’s problem is proposed, its main features being that it is based on a novel augmented formulation of the continuous problem and the introduction of a mesh
dependent stabilizing term, which yields a very weak control on the divergence of the unknown. The method is shown to be stable and convergent in the natural H(curl; ) norm for this unknown. In particular, convergence
also applies to singular solutions, for which classical nodal based interpolations are known to suffer from spurious convergence upon mesh refinement.
CitationS. Badia; Codina, R. A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions. "SIAM journal on numerical analysis", 2012, vol. 50, núm. 2, p. 398-417.
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