Application of discontinuous Galerkin method to mechanical 2D problem with arbitrary polygonal and very high-order finite elements
Authors:
- Jan Jaśkowiec
Abstract
Discontinuous Galerkin with finite difference rules (DGFD) is applied to mechanical plane stress state problem. The considered domain is discretized by polygonal mesh. The polygonal elements can be for example a hexagon, pentagon or just quadrangle or triangle. They do not have to be convex and a fish mesh, where the elements have fish shapes, is used. When the elements are rectangular then the orthogonality of Chebyshev basis functions can be utilized. In such a case very high-order approximate solution can be obtained. In this work the approximation order exceeds 10 and reaches 60, which in the latter case means 3600 numbers of degrees of freedom in a single element. The paper is illustrated by a benchmark example in which the exact solution is recovered by DGFD method for various meshes. In other example the stress concentration is easily recovered by very high-order version of DGFD method.
- Record ID
- CUT1212c5c2e83443e98047500552cb1748
- Publication categories
- ;
- Author
- Journal series
- Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, e-ISSN 1879-2138
- Issue year
- 2017
- Vol
- 323
- Pages
- 389-415
- Other elements of collation
- il. (w tym kolor.); Bibliografia (na s.) - 414-415; Bibliografia (liczba pozycji) - 55; Oznaczenie streszczenia - Abstr.; Data udostępnienia on-line - 2017-06-02; Numeracja w czasopiśmie - Vol. 323
- Keywords in English
- discontinuous Galerkin, polygonal finite elements, plane stress state, very high-order method
- DOI
- DOI:10.1016/j.cma.2017.05.029 Opening in a new tab
- URL
- http://www.sciencedirect.com/science/article/pii/S0045782516310799 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 45
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT1212c5c2e83443e98047500552cb1748/
- URN
urn:pkr-prod:CUT1212c5c2e83443e98047500552cb1748
* 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.