Summary
In the treatment of saddle point problems with finite elements a discrete Babuška-Brezzi condition is encountered. We demonstrate what this discrete Babuška-Brezzi condition entails and explain the mechanical background of this somewhat abstract inf sup condition.
Übersicht
Behandelt man Sattelpunktprobleme mit Finiten Elementen, dann stößt man auf eine diskrete Babuška-Brezzi Bedingung. Wir zeigen, welche Rolle diese diskrete Babuška-Brezzi-Bedingung bei der numerischen Behandlung spielt und verdeutlichen den mechanischen Hintergrund dieser etwas abstrakten inf sup Bedingung.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Babuška, I.: The finite element method with Lagrange multipliers. Numer. Math. 20 (1973) 179–192
Brezzi, F.: On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. Rev. Fr. Automat. Inform. Recherche Opérat. Numer. Anal. R2 (1974) 129–151
Fichera, G.: Existence theorems in elasticity. In: Encyclopedia of Physics, S. Flügge (ed.), Volume VIa/2, C. Truesdell (ed.). Berlin, Heidelberg, New York: Springer 1972
Wunderlich, W.: Mixed models for plates and shells: Principles-elements-examples. In: Hybrid and mixed finite element methods, S. N. Atluri, R. H. Gallagher, O. C. Zienkiewicz (eds.). New York: Wiley 1983
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hartmann, F. The discrete Babuška-Brezzi condition. Ing. arch 56, 221–228 (1986). https://doi.org/10.1007/BF00535887
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00535887