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Robust A Posteriori Error Estimation for Finite Element Approximation to H(curl) Problem | | Zhiqiang Cai
; Shuhao Cao
; Rob Falgout
; | | Date: |
30 Sep 2015 | | Abstract: | In this paper, we introduce a novel a posteriori error estimator for the
conforming finite element approximation to the H(curl) problem with
inhomogeneous media and with the right-hand side only in L^2. The estimator is
of the recovery type. Independent with the current approximation to the primary
variable (the electric field), an auxiliary variable (the magnetizing field) is
recovered in parallel by solving a similar H(curl) problem. The estimator is
then defined as the sum of the modified element residual and the residual of
the constitutive equation defining the auxiliary variable. It is proved that
the estimator is approximately equal to the true error in the energy norm
without the quasi-monotonicity assumption. Finally, we present numerical
results for two H(curl) interface problems. | | Source: | arXiv, 1510.0027 | | Services: | Forum | Review | PDF | Favorites | |
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