The effect of reduced integration in the Steklov eigenvalue problem
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 38 (2004) no. 1, p. 27-36

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.

DOI : https://doi.org/10.1051/m2an:2004002
Classification:  65D30,  65N25,  65N30
Keywords: finite elements, Steklov eigenvalue problem, reduced integration
@article{M2AN_2004__38_1_27_0,
     author = {Armentano, Maria G.},
     title = {The effect of reduced integration in the Steklov eigenvalue problem},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {1},
     year = {2004},
     pages = {27-36},
     doi = {10.1051/m2an:2004002},
     zbl = {1077.65115},
     mrnumber = {2073929},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2004__38_1_27_0}
}
Armentano, Maria G. The effect of reduced integration in the Steklov eigenvalue problem. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 38 (2004) no. 1, pp. 27-36. doi : 10.1051/m2an:2004002. http://www.numdam.org/item/M2AN_2004__38_1_27_0/

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