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A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem. (English) Zbl 1222.65121

The authors analyze a high efficient scheme for the Steklov eigenvalue problem. They use a two-grid discretization scheme with nonconforming Crouzeix-Raviart elements. They also use the Nitsche-Lascaux-Lesaint technique to prove an asymptotically optimal accuracy in a certain Sobolev space. Numerical examples are also discussed.

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
35P15 Estimates of eigenvalues in context of PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
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