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.
Keywords
References
[1] D.N. Arnold. Mixed finite element methods for elliptic problems. Computer Methods in Applied Mechanics and Engineering, 82: 281-300, 1990.[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.
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Published
Mar 27, 2023
How to Cite
SZEMPLIŃSKA-STUPNICKA, Wanda; TYRKIEL, Elżbieta; ZUBRZYCKI, Andrzej.
Some continuous stress mixed formulations and inf-sup test.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 8, n. 1, p. 155-168, mar. 2023.
ISSN 2956-5839.
Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1197>. Date accessed: 13 nov. 2024.
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