A coupling of multiscale finite element method and isogeometric analysis
Authors:
- M. Dryzek,
- W. Cecot
Abstract
In this paper, we propose to use modified B-splines spanned on several macroelements as a basis for building the multiscale finite element method (MsFEM) trail functions. The main benefit of our approach is that the calculations of a multiscale function are done in one step on the whole support, in contrast to standard MsFEM shape functions that are evaluated coarse element by element and require a cumbersome gluing. Selected numerical experiments for flow in porous media with periodic and random material properties distributions were performed to test our modified MsFEM with the new basis functions. We found that the method indeed improves standard MsFEM for fast oscillating material properties. We observed that the resonance effect, when the ratio of inclusion size and coarse mesh size approaches 1 (ε/H → 1) can be reduced by increasing the order of B-splines.
- Record ID
- CUT3db1807b225e418aa17df40a129c5828
- Publication categories
- ;
- Author
- Journal series
- International Journal for Multiscale Computational Engineering, ISSN 1543-1649, e-ISSN 1940-4352
- Issue year
- 2020
- Vol
- 18
- No
- 4
- Pages
- 439-454
- Other elements of collation
- schem.; wykr.; Bibliografia (na s.) - 453-454; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 18, Iss. 4
- Keywords in English
- multiscale finite element method, higher-order shape functions, B-splines
- DOI
- DOI:10.1615/IntJMultCompEng.2020034287 Opening in a new tab
- URL
- http://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,7f5959e22b7d01cf,53e5ef2d646a285e.html Opening in a new tab
- Related project
- Połączenie wieloskalowej metody elementów skończonych z nieciągłym podejściem Petrowa-Galerkina. . Project leader at PK: , ,
Projects financed by NSC [Projekty finansowane przez NCN] - Language
- eng (en) English
- Score (nominal)
- 40
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT3db1807b225e418aa17df40a129c5828/
- URN
urn:pkr-prod:CUT3db1807b225e418aa17df40a129c5828
* 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.