IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v274y2016icp182-194.html
   My bibliography  Save this article

Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation

Author

Listed:
  • Dongyang, Shi
  • Fengna, Yan
  • Junjun, Wang

Abstract

In this paper, a new mixed finite element scheme is proposed for the nonlinear Sobolev equation by employing the finite element pair Q11/Q01 × Q10. Based on the combination of interpolation and projection skill as well as the mean-value technique, the τ-independent superclose results of the original variable u in H1-norm and the variable q→=−(a(u)∇ut+b(u)∇u) in L2-norm are deduced for the semi-discrete and linearized fully-discrete systems (τ is the temporal partition parameter). What’s more, the new interpolated postprocessing operators are put forward and the corresponding global superconvergence results are obtained unconditionally, while previous literature always require certain time step conditions. Finally, some numerical results are provided to confirm our theoretical analysis, and show the efficiency of the method.

Suggested Citation

  • Dongyang, Shi & Fengna, Yan & Junjun, Wang, 2016. "Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 182-194.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:182-194
    DOI: 10.1016/j.amc.2015.09.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315012229
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.09.004?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Xiaoli & Rui, Hongxing, 2019. "A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.

    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:274:y:2016:i:c:p:182-194. 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: 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.