| Issue |
ESAIM: M2AN
Volume 43, Number 5, September-October 2009
|
|
|---|---|---|
| Page(s) | 853 - 865 | |
| DOI | https://doi.org/10.1051/m2an/2009005 | |
| Published online | 08 April 2009 | |
Mixed approximation of eigenvalue problems: A superconvergence result
Dipartimento di Matematica “F. Casorati”, Università di Pavia, 27100 Pavia, Italy. francesca.gardini@unipv.it
Received:
27
September
2006
Revised:
19
December
2008
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.
Mathematics Subject Classification: 65N25 / 65N30 / 65Q60
Key words: Eigenvalue problem / mixed finite element / superconvergence result
© EDP Sciences, SMAI, 2009
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