IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/6322303.html
   My bibliography  Save this article

Analysis of Two-Grid Characteristic Finite Element Methods for Convection-Diffusion Equations

Author

Listed:
  • Keyan Wang
  • Boxia Hu
  • R. U. Gobithaasan

Abstract

In this paper, two efficient two-grid algorithms for the convection-diffusion problem with a modified characteristic finite element method are studied. We present an optimal error estimate in Lp-norm for the characteristic finite element method unconditionally, while all previous works require certain time-step restrictions. To linearize the characteristic method equations, two-grid algorithms based on the Newton iteration approach and the correction method are applied. The error estimate and the convergence result of the two-grid method are derived in detail. It is shown that the coarse space can be extremely coarse and achieve asymptotically optimal approximations as long as the mesh sizes H=Oh1/3 in the first algorithm and H=Oh1/4 in the second algorithm, respectively. Finally, two numerical examples are presented to demonstrate the theoretical analysis.

Suggested Citation

  • Keyan Wang & Boxia Hu & R. U. Gobithaasan, 2023. "Analysis of Two-Grid Characteristic Finite Element Methods for Convection-Diffusion Equations," Journal of Mathematics, Hindawi, vol. 2023, pages 1-14, January.
    • Handle: RePEc:hin:jjmath:6322303
    DOI: 10.1155/2023/6322303
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2023/6322303.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2023/6322303.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/6322303?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jjmath:6322303. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.