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.
A Posteriori Error Estimates for Maxwell’s Eigenvalue Problem
Gastaldi, Lucia
;
2019-01-01
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.File in questo prodotto:
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