IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v305y2017icp117-135.html
   My bibliography  Save this article

A porous thermoelastic problem: An a priori error analysis and computational experiments

Author

Listed:
  • Fernández, J.R.
  • Masid, M.

Abstract

In this paper, a porous thermoelastic problem is numerically considered. The variational formulation is written as a coupled system of two hyperbolic equations for the displacement and the porosity fields and a parabolic equation for the temperature field. An existence and uniqueness result as well as an energy decay property are recalled. Then, fully discrete approximations are introduced by using the finite element method to approximate the spatial variable and the backward Euler scheme to discretize the first-order time derivatives. A priori error estimates are proved, from which the linear convergence is deduced under some additional regularity conditions. Finally, some one- and two-dimensional numerical simulations are presented to show the accuracy of the approximation and the behavior of the solution.

Suggested Citation

  • Fernández, J.R. & Masid, M., 2017. "A porous thermoelastic problem: An a priori error analysis and computational experiments," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 117-135.
    • Handle: RePEc:eee:apmaco:v:305:y:2017:i:c:p:117-135
    DOI: 10.1016/j.amc.2017.01.070
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300317300966
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.01.070?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. Bazarra, N. & Fernández, J.R. & Quintanilla, R., 2020. "An a priori error analysis of poro-thermoviscoelastic problems," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    2. Jacobo Baldonedo & José R. Fernández & José A. López-Campos, 2021. "Quasistatic Porous-Thermoelastic Problems: An a Priori Error Analysis," Mathematics, MDPI, vol. 9(12), pages 1-13, June.

    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:305:y:2017:i:c:p:117-135. 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.