Some continuous stress mixed formulations and inf-sup test
Abstract
The most frequent motivation for the use of mixed methods is their robustness in the presence of certain limiting and extreme situations. At variance, the main goal of the present paper is to reconsider the use of mixed formulation as a tool for wider application, i.e., to study the stability of the proposed procedure treating problems in elasticity otherwise well suited for the solution by the usual displacement method. Computational procedure for the inf-sup test is outlined, and the results are given.
References
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[2] I. Babuška. On the inf- sup (Babuška- Brezzi) condition. TICAM Forum # 5, 1996.
[3] M. Berković, Z. Drašković. Stress continuity in the finite element analysis. In: J. Robinson, ed., Accuracy, Reliability and Training in FEM Technology, pp. 110-118. Robinson and Associates, 1984.
[4] M. Berković, Z. Drašković. An efficient solution procedure in mixed finite element analysis. NUMETA 85, pp. 625- 633. Balkema, Rotterdam, 1985.
[5] M. Berković, Z. Drašković. On the essential mechanical boundary conditions in two-field finite element approximations. Computer Methods in Applied Mechanics and Engineering, 91: 1339-1355, 1991.
[2] I. Babuška. On the inf- sup (Babuška- Brezzi) condition. TICAM Forum # 5, 1996.
[3] M. Berković, Z. Drašković. Stress continuity in the finite element analysis. In: J. Robinson, ed., Accuracy, Reliability and Training in FEM Technology, pp. 110-118. Robinson and Associates, 1984.
[4] M. Berković, Z. Drašković. An efficient solution procedure in mixed finite element analysis. NUMETA 85, pp. 625- 633. Balkema, Rotterdam, 1985.
[5] M. Berković, Z. Drašković. On the essential mechanical boundary conditions in two-field finite element approximations. Computer Methods in Applied Mechanics and Engineering, 91: 1339-1355, 1991.
Published
2023-03-27
Issue
pp. 155-168
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Szemplińska-Stupnicka, W., Tyrkiel, E., & Zubrzycki, A. (2023). Some continuous stress mixed formulations and inf-sup test. Computer Assisted Methods in Engineering and Science, 8(1), 155-168. https://cames3.ippt.pan.pl/index.php/cames/article/view/1197
