An adaptive finite element method with asymptotic saturation for eigenvalue problems (Q478091)

The authors present an adaptive finite element method (AFEM) with asymptotic saturation for eigenvalue problems. They first describe the AFEM based on patch refinement. The discrete efficiency of the edge residual a posteriori error estimate is introduced. The proof of the saturation property and its equivalence to the reliability and the efficiency of the hierarchical error estimator given verifies the theoretical results for some numerical benchmark problems on the unit square, the L-shaped domain, and two isospectral domains.