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Pre-Publicación 2017-15

Daniele Boffi, Lucia Gastaldi, Rodolfo Rodríguez, Ivana Sebestova:

A posteriori error estimates for Maxwell eigenvalue problem

Abstract:

We introduce a residual error indicator for the edge finite element approximation of the eigenmodes of the Maxwell cavity problem. By using the known equivalence with a mixed problem we prove reliability and efficiency of the error indicator. Numerical results confirm the optimal behavior of an adaptive scheme based on the error indicator.

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Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):

Daniele BOFFI, Lucia GASTALDI, Rodolfo RODRíGUEZ, Ivana SEBESTOVA: A posteriori error estimates for Maxwell's eigenvalue problem. Journal of Scientific Computing, vol. 78, 2, pp. 1250-1271, (2019).