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Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems. (English) Zbl 1225.65107
The authors are concerned with the adaptive finite element analysis of the 2D (polygonal) and 3D (polyhedral) Steklov eigenvalue problems. They provide all ingredients in order to show convergence and optimality of the method.

MSC:
65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35P15 Estimates of eigenvalues in context of PDEs
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