A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions
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hdl:2117/6064
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Data publicació2009-11-17
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Abstract
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; Ω) 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.
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nodalbased.pdf | 191,7Kb | Visualitza/Obre |