Mixed approximation of eigenvalue problems: A superconvergence result
Dipartimento di Matematica “F. Casorati”, Università di Pavia, 27100 Pavia, Italy. email@example.com
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