IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v436y2023ics0096300322005835.html
   My bibliography  Save this article

A local projection stabilization virtual element method for the time-fractional Burgers equation with high Reynolds numbers

Author

Listed:
  • Zhang, Yadong
  • Feng, Minfu

Abstract

We propose and analyze a local projection stabilization virtual element method for time-fractional Burgers equation on polygonal meshes, whose solutions display a weak singularity at the initial time. Based on the L1 scheme on a graded mesh in time and virtual element method in space, the stability and existence and uniqueness of the fully discrete scheme are proved; and the priori error estimates in L2 norm is derived with local projection stabilization term. Numerical experiments show that our method is effective for time fractional Burgers equation with high Reynolds number.

Suggested Citation

  • Zhang, Yadong & Feng, Minfu, 2023. "A local projection stabilization virtual element method for the time-fractional Burgers equation with high Reynolds numbers," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    • Handle: RePEc:eee:apmaco:v:436:y:2023:i:c:s0096300322005835
    DOI: 10.1016/j.amc.2022.127509
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322005835
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127509?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zhang, Baiju & Feng, Minfu, 2018. "Virtual element method for two-dimensional linear elasticity problem in mixed weakly symmetric formulation," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 1-25.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Xi & Feng, Minfu, 2021. "A projection-based stabilized virtual element method for the unsteady incompressible Brinkman equations," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    2. Li, Yang & Feng, Minfu, 2021. "A local projection stabilization virtual element method for convection-diffusion-reaction equation," Applied Mathematics and Computation, Elsevier, vol. 411(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:436:y:2023:i:c:s0096300322005835. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.