IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v75y2007i5p182-190.html
   My bibliography  Save this article

The heat equation as grid smoothing in a local optimization procedure

Author

Listed:
  • Egidi, N.
  • Maponi, P.

Abstract

We consider a local optimization technique, where starting from a preliminary version of the grid under consideration, we try to improve the part of the grid that really needs this improvement. When this procedure is performed, the processed grids may result irregular, so a smoothing step must be taken into account. We propose a smoothing approach based on an iterative formula resembling the explicit difference schemes for the heat equation. This is a quite general approach, however to fix the ideas it is described in the context of quadrilateral grid generation and the variational approach is considered as the base method for the solution of planar grid generation. Some numerical experiments are presented to show the efficiency of the proposed method.

Suggested Citation

  • Egidi, N. & Maponi, P., 2007. "The heat equation as grid smoothing in a local optimization procedure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(5), pages 182-190.
    • Handle: RePEc:eee:matcom:v:75:y:2007:i:5:p:182-190
    DOI: 10.1016/j.matcom.2006.12.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475406003387
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2006.12.003?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.

    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:matcom:v:75:y:2007:i:5:p:182-190. 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: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.