Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems

Eduardo M. Garau, Pedro Morin


In this article we prove convergence of adaptive finite element methods for Steklov eigenvalue problems under very general assumptions for simple as well as multiple eigenvalues starting from any initial triangulation. We also prove the optimality of the approximations assuming Dörfler's Strategy for marking, when we consider simple eigenvalues.

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