IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/721240.html
   My bibliography  Save this article

Error Estimate and Adaptive Refinement in Mixed Discrete Least Squares Meshless Method

Author

Listed:
  • J. Amani
  • A. Saboor Bagherzadeh
  • T. Rabczuk

Abstract

The node moving and multistage node enrichment adaptive refinement procedures are extended in mixed discrete least squares meshless (MDLSM) method for efficient analysis of elasticity problems. In the formulation of MDLSM method, mixed formulation is accepted to avoid second-order differentiation of shape functions and to obtain displacements and stresses simultaneously. In the refinement procedures, a robust error estimator based on the value of the least square residuals functional of the governing differential equations and its boundaries at nodal points is used which is inherently available from the MDLSM formulation and can efficiently identify the zones with higher numerical errors. The results are compared with the refinement procedures in the irreducible formulation of discrete least squares meshless (DLSM) method and show the accuracy and efficiency of the proposed procedures. Also, the comparison of the error norms and convergence rate show the fidelity of the proposed adaptive refinement procedures in the MDLSM method.

Suggested Citation

  • J. Amani & A. Saboor Bagherzadeh & T. Rabczuk, 2014. "Error Estimate and Adaptive Refinement in Mixed Discrete Least Squares Meshless Method," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-16, February.
    • Handle: RePEc:hin:jnlmpe:721240
    DOI: 10.1155/2014/721240
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2014/721240.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2014/721240.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/721240?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:721240. 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.