Polynomial representation of hybrid finite elements
Abstract
We introduce the hybrid-Trefftz FE formulations for linear statics of solids as well as for linear (slow velocity) steady fluid dynamics. Moving least square procedure is given to obtain continuous secondary fields (such as stresses for solids), which improves the results. For nonlinear problems the governing equations are satisfied in the discrete least square residual form. Also for such problems the hybrid FE formulation is shown.
References
[1] V. Kompiš, M. Kaukič, M. Žmindak. Modelling of local effects by hybrid-displacement FE. Jour. Comput. Appl. Math., 63: 265- 269, 1995.
[2] V. Kompiš. Boundary Integral Equation Method for the Solution of Plane Elasticity Problems (in German). Diss. , RWTH Aachen, 1970.
[3] V.I. Blokh. Elasticity Theory (in Russian). Edition of Kharkov Univ., Kharkov, 1964,
[4] J. Jirousek. Basis for development of large elements locally satisfying all field equations. Compo Meth. Appl. Mech. Eng., 14: 65- 92, 1978.
[5] V. Kompiš. Finite elements satisfying all governing equations inside the element. Compo fj Struct., 50: 273- 278, 1994.
[2] V. Kompiš. Boundary Integral Equation Method for the Solution of Plane Elasticity Problems (in German). Diss. , RWTH Aachen, 1970.
[3] V.I. Blokh. Elasticity Theory (in Russian). Edition of Kharkov Univ., Kharkov, 1964,
[4] J. Jirousek. Basis for development of large elements locally satisfying all field equations. Compo Meth. Appl. Mech. Eng., 14: 65- 92, 1978.
[5] V. Kompiš. Finite elements satisfying all governing equations inside the element. Compo fj Struct., 50: 273- 278, 1994.
Published
2023-06-19
Issue
pp. 521-532
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
Kompiš, V., & Fraštia, L. (2023). Polynomial representation of hybrid finite elements. Computer Assisted Methods in Engineering and Science, 4(3-4), 521-532. https://cames3.ippt.pan.pl/index.php/cames/article/view/1387
