Stability of discrete liftings

Citations of this article
Mendeley users who have this article in their library.
Get full text


In this short Note we prove the equivalence between having a discrete lifting of Dirichlet boundary conditions for (abstract) finite element spaces and having a Scott-Zhang type operator in the space, i.e., a stable projection preserving homogeneous boundary conditions. Both results are equivalent to the possibility of obtaining a Céa estimate where approximation of the boundary conditions is separated from the approximation capabilities of the space. To cite this article: V. Domínguez, F.-J. Sayas, C. R. Acad. Sci. Paris, Ser. I 337 (2003). © 2003 Académie des sciences. Published by Elsevier SAS. All rights reserved.




Domínguez, V., & Sayas, F. J. (2003). Stability of discrete liftings. Comptes Rendus Mathematique, 337(12), 805–808.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free