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The effect of reduced integration in the Steklov eigenvalue problem

Published online by Cambridge University Press:  15 February 2004

María G. Armentano
María G. Armentano*
Affiliation:
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina. garmenta@dm.uba.ar.
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Abstract

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.

Keywords

Finite elementsSteklov eigenvalue problemreduced integration.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 1 , January 2004 , pp. 27 - 36
Copyright
© EDP Sciences, SMAI, 2004

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References

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