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Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations
[article]
2020
arXiv
pre-print
We consider residual-based a posteriori error estimators for Galerkin-type discretizations of time-harmonic Maxwell's equations. We focus on configurations where the frequency is high, or close to a resonance frequency, and derive reliability and efficiency estimates. In contrast to previous related works, our estimates are frequency-explicit. In particular, our key contribution is to show that even if the constants appearing in the reliability and efficiency estimates may blow up on coarse
arXiv:2009.09204v1
fatcat:d3zw4rtusjbc3ieetxkyp4cauq