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The effect of reduced integration in the Steklov eigenvalue problem. (English) Zbl 1077.65115
The author studies the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. As a consequence the author obtains optimal order error estimates for the eigenfunctions. Some results concerning the singular eigenfunctions are also obtained.

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
65N15 Error bounds for boundary value problems involving PDEs
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References:
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