Abhilash Sreekumar
A multiscale virtual element method for the analysis of heterogeneous media
Sreekumar, Abhilash; Triantafyllou, Savvas P.; B�cot, Fran�ois?Xavier; Chevillotte, Fabien
Authors
Savvas P. Triantafyllou
Fran�ois?Xavier B�cot
Fabien Chevillotte
Abstract
We introduce a novel heterogeneous multiscale method for the elastic analysis of two-dimensional domains with a complex microstructure. To this end, the multiscale finite element method is revisited and originally upgraded by introducing virtual element discretizations at the microscale, hence allowing for generalized polygonal and nonconvex elements. The microscale is upscaled through the numerical evaluation of a set of multiscale basis functions. The solution of the equilibrium equations is performed at the coarse scale at a reduced computational cost. We discuss the computation of the multiscale basis functions and corresponding virtual projection operators. The performance of the method in terms of accuracy and computational efficiency is evaluated through a set of numerical examples.
Citation
Sreekumar, A., Triantafyllou, S. P., Bécot, F., & Chevillotte, F. (2020). A multiscale virtual element method for the analysis of heterogeneous media. International Journal for Numerical Methods in Engineering, 121(8), 1791-1821. https://doi.org/10.1002/nme.6287
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 26, 2019 |
Online Publication Date | Jan 8, 2020 |
Publication Date | Apr 30, 2020 |
Deposit Date | Nov 18, 2021 |
Publicly Available Date | Mar 29, 2024 |
Journal | International Journal for Numerical Methods in Engineering |
Print ISSN | 0029-5981 |
Electronic ISSN | 1097-0207 |
Publisher | Wiley |
Peer Reviewed | Peer Reviewed |
Volume | 121 |
Issue | 8 |
Pages | 1791-1821 |
DOI | https://doi.org/10.1002/nme.6287 |
Keywords | General Engineering; Applied Mathematics; Numerical Analysis |
Public URL | https://nottingham-repository.worktribe.com/output/3611427 |
Publisher URL | https://onlinelibrary.wiley.com/doi/10.1002/nme.6287 |
Additional Information | This is the peer reviewed version of the following article: Sreekumar, A, Triantafyllou, SP, Bécot, F-X, Chevillotte, F. A multiscale virtual element method for the analysis of heterogeneous media. Int J Numer Methods Eng. 2020; 121: 1791– 1821, which has been published in final form at https://doi.org/10.1002/nme.6287. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. |
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