IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/8796345.html
   My bibliography  Save this article

Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition

Author

Listed:
  • Chenguang Zhou
  • Yongkui Zou
  • Shimin Chai
  • Fengshan Zhang

Abstract

This paper is devoted to the numerical analysis of weak Galerkin mixed finite element method (WGMFEM) for solving a heat equation with random initial condition. To set up the finite element spaces, we choose piecewise continuous polynomial functions of degree with for the primary variables and piecewise discontinuous vector-valued polynomial functions of degree j for the flux ones. We further establish the stability analysis of both semidiscrete and fully discrete WGMFE schemes. In addition, we prove the optimal order convergence estimates in norm for scalar solutions and triple-bar norm for vector solutions and statistical variance-type convergence estimates. Ultimately, we provide a few numerical experiments to illustrate the efficiency of the proposed schemes and theoretical analysis.

Suggested Citation

  • Chenguang Zhou & Yongkui Zou & Shimin Chai & Fengshan Zhang, 2020. "Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-11, January.
    • Handle: RePEc:hin:jnlmpe:8796345
    DOI: 10.1155/2020/8796345
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/8796345.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2020/8796345.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/8796345?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:jnlmpe:8796345. 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.