Mixed approximation of eigenvalue problems : a superconvergence result
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 5, pp. 853-865.

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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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     author = {Gardini, Francesca},
     title = {Mixed approximation of eigenvalue problems : a superconvergence result},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {853--865},
     publisher = {EDP-Sciences},
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     year = {2009},
     doi = {10.1051/m2an/2009005},
     mrnumber = {2559736},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2009005/}
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Gardini, Francesca. Mixed approximation of eigenvalue problems : a superconvergence result. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 5, pp. 853-865. doi : 10.1051/m2an/2009005. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2009005/

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