Third formulation of the space-time finite element method
Authors:
- Zbigniew Kacprzyk
Abstract
The paper explains differences existing between the space-time finite elements, which fundamentals were presented by the Kączkowski in 1975 and 1976, and its modification. The replacement of load with concentrated forces and moments (which are to satisfy equilibrium conditions at nodes) was given up, namely in the latter one; instead, a requirement was made that functions approximating the solution would satisfy differential equation in inter-node areas in a specified integral way. This leads to a system of algebraic equations, in which kinematic parameters existing in the solution approximating functions are the unknowns. Displacements and their derivatives (of any order) at nodes are those parameters.
- Record ID
- WUT111a5cc9b5a147709836f9531950dec5
- Author
- Journal series
- IOP Conference Series: Materials Science and Engineering, ISSN 1757-8981, e-ISSN 1757-899X, Irregular
- Issue year
- 2021
- Vol
- 1015
- No
- 1
- Pages
- 1-8
- Publication size in sheets
- 0.50
- Conference
- XXIX Russian-Polish-Slovak seminar "Theoretical Foundation of Civil Engineering" (TFoCE 2020), 2020, 20-11-2020 - 04-12-2020, Wrocław, Polska
- DOI
- DOI:10.1088/1757-899x/1015/1/012005 Opening in a new tab
- URL
- https://doi.org/10.1088/1757-899x/1015/1/012005 Opening in a new tab
- Language
- (en) English
- File
-
- File: 1
- Kacprzyk_2021_IOP_Conf._Ser. _Mater._Sci._Eng._1015_012005.pdf
-
- Score (nominal)
- 5
- Score source
- journalList
- Score
- = 5.0, 13-12-2021, ArticleFromJournal
- Uniform Resource Identifier
- https://repo.pw.edu.pl/info/article/WUT111a5cc9b5a147709836f9531950dec5/
- URN
urn:pw-repo:WUT111a5cc9b5a147709836f9531950dec5
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.