The Babuška-Brezzi condition and the patch test: An example

Computer Methods in Applied Mechanics and Engineering

Volumn 140, Issue 1-2, 1997, Pages 183-199

  Babuska I ^a   Narasimhan, R ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b SAINT PETER'S UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PROBLEM SOLVING;

BABUSK-BREZZI CONDITION; NONUNIFORM INF-SUP CONDITION; UNIFORM INF-SUP CONDITION;

FINITE ELEMENT METHOD;

EID: 0030784297     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01058-4     Document Type: Article

References (5)

1. R.L. Taylor, O.C. Zienkiewicz, J.C. Simo and A. Chan, The patch test - a condition for assessing FEM convergence, IJNME 22 (1986) 39-62.
2. O.C. Zienkiewicz, S. Qu, R.L. Taylor and S. Nakazawa, The patch test for mixed formulations, IJNME 23 (1986) 1873-1883.
3. O.C. Zienkiewicz and R.L. Taylor, The patch test - necessary and sufficient conditions for convergence, TICAM Summary Notes, University of Texas, 1993.
4. A.K. Aziz and I. Babuška, The Mathematical Foundations of the Finite Element Method with Application to Partial Differential Equations (Academic Press, New York, 1972).
5. D.N. Arnold, I. Babuška and J. Osborn, Finite element methods: principles for their selection, Comput. Methods Appl. Mech. Engrg. 45 (1984) 57-96.