# The effect of reduced integration in the Steklov eigenvalue problem

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 38, Issue: 1, page 27-36
- ISSN: 0764-583X

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topArmentano, María G.. "The effect of reduced integration in the Steklov eigenvalue problem." ESAIM: Mathematical Modelling and Numerical Analysis 38.1 (2010): 27-36. <http://eudml.org/doc/194207>.

@article{Armentano2010,

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.
},

author = {Armentano, María G.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Finite elements; Steklov eigenvalue
problem; reduced integration.; finite element; eigenfunctions; eigenvalues; Steklov eigenvalue problem; error estimates},

language = {eng},

month = {3},

number = {1},

pages = {27-36},

publisher = {EDP Sciences},

title = {The effect of reduced integration in the Steklov eigenvalue problem},

url = {http://eudml.org/doc/194207},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Armentano, María G.

TI - The effect of reduced integration in the Steklov eigenvalue problem

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 1

SP - 27

EP - 36

AB -
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.

LA - eng

KW - Finite elements; Steklov eigenvalue
problem; reduced integration.; finite element; eigenfunctions; eigenvalues; Steklov eigenvalue problem; error estimates

UR - http://eudml.org/doc/194207

ER -

## References

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