Preprint 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.
This preprint gave rise to the following definitive publication(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).