Solving the Biharmonic Plate Bending Problem by the Ritz Method Using Explicit Formulas for Splines of Degree 5-Reference-Cited by-同舟云学术

Solving the Biharmonic Plate Bending Problem by the Ritz Method Using Explicit Formulas for Splines of Degree 5

Published:2018-11 Issue:6 Volume:54 Page:944-947
ISSN:1060-0396
Container-title:Cybernetics and Systems Analysis
language:en
Short-container-title:Cybern Syst Anal

Author:

Lytvyn O. M.,Lytvyn O. O.,Tomanova I. S.

Publisher

Springer Science and Business Media LLC

Subject

General Computer Science

Link

http://link.springer.com/article/10.1007/s10559-018-0097-x/fulltext.html

Reference8 articles.

1. J. T. Oden, Finite Elements of Nonlinear Continua, Ser. Dover Civil and Mechanical Engineering, Dover Publications (2006).

2. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, Ser. Classics in Applied Mathematics, SIAM (2002).

3. I. V. Sergienko, O. M. Lytvyn, O. O. Lytvyn, and O. I. Denisova, “Explicit formulas for interpolating splines of degree 5 on the triangle,” Cybern. Syst. Analysis, Vol. 50, No. 5, 670–678 (2014).

4. M. Zlamal, A. Zenesek, V. Kolar, and J. Kratochvil, “Matematical aspect of the finite element method,” Tech. Phys. and Math. Principles Finite Element Method, Vol. 1, 15–39 (1971).

5. O. M. Lytvyn and I. S. Tomanova, “Solving the plate bending problem by the finite-element method with the use of splines of degree 5 on a triangular grid,” Problemy Mashinostroeniya, Vol. 20, No. 1, 52–61 (2017).

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