Some continuous stress mixed formulations and inf-sup test

  • Wanda Szemplińska-Stupnicka Institute of Fundamental Technological Research Polish Academy of Sciences
  • Elżbieta Tyrkiel Institute of Fundamental Technological Research Polish Academy of Sciences
  • Andrzej Zubrzycki Institute of Fundamental Technological Research Polish Academy of Sciences

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.
[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
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.pan.pl/index.php/cames/article/view/1197>. Date accessed: 23 dec. 2024.
Section
Articles