Mixed approximation of eigenvalue problems : a superconvergence result
ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 5, pp. 853-865.

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.

DOI : 10.1051/m2an/2009005
Classification : 65N25, 65N30, 65Q60
Mots-clés : eigenvalue problem, mixed finite element, superconvergence result 
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Gardini, Francesca. Mixed approximation of eigenvalue problems : a superconvergence result. ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 5, pp. 853-865. doi : 10.1051/m2an/2009005. http://www.numdam.org/articles/10.1051/m2an/2009005/

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