The paper proves unconditional R-linear convergence of a combined quasi-error and, for small adaptivity parameters, optimal rates and quasi-optimal complexity for an adaptive iterative Galerkin method with elliptic reconstruction estimator applied to quasilinear elliptic problems.
Thus, F is Lipschitz continuous with constanteL
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Quasi-optimal complexity of iterative Galerkin methods driven by an elliptic reconstruction error estimator
The paper proves unconditional R-linear convergence of a combined quasi-error and, for small adaptivity parameters, optimal rates and quasi-optimal complexity for an adaptive iterative Galerkin method with elliptic reconstruction estimator applied to quasilinear elliptic problems.