An AFEM algorithm with optimally preconditioned GMRES achieves optimal complexity by using a feedback-controlled solver termination that enforces R-linear decay of a quasi-error measuring total error.
[MNS00] P.Morin,R.Nochetto,andK.G.Siebert.Dataoscillationandconvergenceofadaptive FEM.SIAM J
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Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity
An AFEM algorithm with optimally preconditioned GMRES achieves optimal complexity by using a feedback-controlled solver termination that enforces R-linear decay of a quasi-error measuring total error.