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Armentano, María G.

The effect of reduced integration in the Steklov eigenvalue problem. (English) Zbl 1077.65115

M2AN, Math. Model. Numer. Anal. 38, No. 1, 27-36 (2004).
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.
Reviewer: Răzvan Răducanu (Iaşi)

Cited in 20 Documents

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

Keywords:

finite element; eigenfunctions; eigenvalues; Steklov eigenvalue problem; error estimates
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\textit{M. G. Armentano}, M2AN, Math. Model. Numer. Anal. 38, No. 1, 27--36 (2004; Zbl 1077.65115)
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References:

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