Volume 43, Number 5, September-October 2009
|Page(s)||853 - 865|
|Published online||08 April 2009|
Mixed approximation of eigenvalue problems: A superconvergence result
Dipartimento di Matematica “F. Casorati”, Università di Pavia, 27100 Pavia, Italy. firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.