We state a superconvergence result for the lowest order Raviart-Thomas approximation of eigenvalue problems. It is known that a similar superconvergence result holds for the mixed approximation of Laplace problem; here we introduce a new proof, since the one given for the source problem cannot be generalized in a straightforward way to the eigenvalue problem. Numerical experiments confirm the superconvergence property and suggest that it also holds for the lowest order Brezzi-Douglas-Marini approximation.
@article{M2AN_2009__43_5_853_0,
author = {Gardini, Francesca},
title = {Mixed approximation of eigenvalue problems : a superconvergence result},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {43},
year = {2009},
pages = {853-865},
doi = {10.1051/m2an/2009005},
mrnumber = {2559736},
zbl = {pre05608354},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2009__43_5_853_0}
}
Gardini, Francesca. Mixed approximation of eigenvalue problems : a superconvergence result. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009) pp. 853-865. doi : 10.1051/m2an/2009005. http://gdmltest.u-ga.fr/item/M2AN_2009__43_5_853_0/
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