IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/523909.html
   My bibliography  Save this article

Local Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems

Author

Listed:
  • Xuehai Huang

Abstract

Based on stress-deflection variational formulation, we propose a family of local projection-based stabilized mixed finite element methods for Kirchhoff plate bending problems. According to the error equations, we obtain the error estimates of the approximation to stress tensor in energy norm. And by duality argument, error estimates of the approximation to deflection in H 1 -norm are achieved. Then we design an a posteriori error estimator which is closely related to the equilibrium equation, constitutive equation, and nonconformity of the finite element spaces. With the help of Zienkiewicz-Guzmán-Neilan element spaces, we prove the reliability of the a posteriori error estimator. And the efficiency of the a posteriori error estimator is proved by standard bubble function argument.

Suggested Citation

  • Xuehai Huang, 2013. "Local Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, March.
    • Handle: RePEc:hin:jnlaaa:523909
    DOI: 10.1155/2013/523909
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/523909.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/523909.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/523909?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:jnlaaa:523909. 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.