Geodesic
Stopping criteria for mixed finite element problems
Electronic transactions on numerical analysis, Tome 29 (2008)
We study stopping criteria that are suitable in the solution by Krylov space based methods of linear and non linear systems of equations arising from the mixed and the mixed-hybrid finite-element approximation of saddle point problems. Our approach is based on the equivalence between the Babu$\check $ska and Brezzi conditions of stability which allows us to apply some of the results obtained in Arioli, Loghin and Wathen [1]. Our proposed criterion involves evaluating the residual in a norm defined on the discrete dual of the space where we seek a solution.
Classification : 65F10, 65F35, 65F50, 65N30
Keywords: augmented systems, mixed and mixed-hybrid finite-element, stopping criteria, Krylov subspaces method 
@article{ETNA_2008__29__a2,
     author = {Arioli,  M. and Loghin,  D.},
     title = {Stopping criteria for mixed finite element problems},
     journal = {Electronic transactions on numerical analysis},
     year = {2008},
     volume = {29},
     zbl = {1392.65042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__29__a2/}
}
TY  - JOUR
AU  - Arioli,  M.
AU  - Loghin,  D.
TI  - Stopping criteria for mixed finite element problems
JO  - Electronic transactions on numerical analysis
PY  - 2008
VL  - 29
UR  - http://geodesic.mathdoc.fr/item/ETNA_2008__29__a2/
LA  - en
ID  - ETNA_2008__29__a2
ER  - 
%0 Journal Article
%A Arioli,  M.
%A Loghin,  D.
%T Stopping criteria for mixed finite element problems
%J Electronic transactions on numerical analysis
%D 2008
%V 29
%U http://geodesic.mathdoc.fr/item/ETNA_2008__29__a2/
%G en
%F ETNA_2008__29__a2
Arioli,  M.; Loghin,  D. Stopping criteria for mixed finite element problems. Electronic transactions on numerical analysis, Tome 29 (2008). http://geodesic.mathdoc.fr/item/ETNA_2008__29__a2/