Weighted regularization of Maxwell equations: computations in curvilinear polygons

M. Costabel, M. Dauge, D. Martin and G. Vial
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M. Costabel: IRMAR
M. Dauge: IRMAR
D. Martin: IRMAR
G. Vial: IRMAR

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 273-280 from Springer

Abstract: Summary In the presence of re-entrant comers or edges, the standard regularization of Maxwell equations combined with the use of nodal finite elements is known to produce wrong solutions. We get rid of this undesirable effect by the introduction of special weights inside the divergence integral. We present numerical experiments consisting in the computation of the Maxwell electric eigenvalues in two-dimensional domains. We investigate the effect of a re-entrant comer, but also the effect of curved parts in the boundary. We provide the results obtained by combining “high” degrees (up to 10) of functional and geometrical approximation.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_25

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DOI: 10.1007/978-88-470-2089-4_25

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