Draft:Virtual element method

Review waiting, please be patient.

This may take 2–3 weeks or more, since drafts are reviewed in no specific order. There are 711 pending submissions waiting for review.

If the submission is accepted, then this page will be moved into the article space.
If the submission is declined, then the reason will be posted here.
In the meantime, you can continue to improve this submission by editing normally.

Where to get help

If you need help editing or submitting your draft, please ask us a question at the AfC Help Desk or get live help from experienced editors. These venues are only for help with editing and the submission process, not to get reviews.
If you need feedback on your draft, or if the review is taking a lot of time, you can try asking for help on the talk page of a relevant WikiProject. Some WikiProjects are more active than others so a speedy reply is not guaranteed.

How to improve a draft

Wikipedia:Contributing to Wikipedia – a basic overview on how to edit Wikipedia.
Help:Wikitext – how to use the markup
Help:Referencing for beginners – how to include references
Wikipedia:Article development – how to develop your article
Wikipedia:Writing better articles – how to improve your article
Wikipedia:Verifiability – make sure your article includes reliable third-party sources

You can also browse Wikipedia:Featured articles and Wikipedia:Good articles to find examples of Wikipedia's best writing on topics similar to your proposed article.

Improving your odds of a speedy review

To improve your odds of a faster review, tag your draft with relevant WikiProject tags using the button below. This will let reviewers know a new draft has been submitted in their area of interest. For instance, if you wrote about a female astronomer, you would want to add the Biography, Astronomy, and Women scientists tags.

Add tags to your draft

Editor resources

Easy tools: Citation bot (help) | Advanced: Fix bare URLs

Reviewer tools

Instructions · What links here · Virtual element method (talk: + · bio) · (log) · Copyvios report · reFill · Citation Bot · (Search: Google, Wikipedia) · Submitted 11 months ago by AHFrederiksen (talk: D · +) · Last edited 11 months ago by Wikishovel

The Virtual Element Method (VEM) is a numerical technique used for solving partial differential equations (PDEs)^[1]^[2]. It is a generalization of the Finite Element Method (FEM) and is particularly noted for its flexibility in handling complex geometries.

VEM allows the use of general polygonal and polyhedral meshes, accommodating elements with any number of sides. This flexibility simplifies the meshing process for intricate geometries. The method draws inspiration from Mimetic Finite Difference schemes, which aim to replicate the properties of differential operators at the discrete level. Additionally, VEM supports high polynomial degrees, enhancing the accuracy of the solutions.

References

^ BeirãO Da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. (January 2013). "Basic Principles of Virtual Element Methods". Mathematical Models and Methods in Applied Sciences. 23 (1): 199–214. doi:10.1142/S0218202512500492. ISSN 0218-2025.
^ Veiga, Lourenço Beirão Da; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro (May 2023). "The virtual element method". Acta Numerica. 32: 123–202. doi:10.1017/S0962492922000095. ISSN 0962-4929.

[1] BeirãO Da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. (January 2013). "Basic Principles of Virtual Element Methods". Mathematical Models and Methods in Applied Sciences. 23 (1): 199–214. doi:10.1142/S0218202512500492. ISSN 0218-2025.

[2] Veiga, Lourenço Beirão Da; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro (May 2023). "The virtual element method". Acta Numerica. 32: 123–202. doi:10.1017/S0962492922000095. ISSN 0962-4929.

[1]

[2]