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steklov eigenvalueproblem

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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The effect of reduced integrationin the Steklov eigenvalue problem
María G. Armentano
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 38 / Issue 1 / January 2004

Published online by Cambridge University Press:

15 February 2004, pp. 27-36

Print publication:

January 2004
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In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions, the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.