IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v18y2026i1p1.html

A Split Mixed Finite Element Method for Fourth-Order Hyperbolic Equations

Author

Listed:
  • Wei Ning
  • Ailing Zhu

Abstract

Fourth-order hyperbolic equations model complex vibration and wave phenomena, and have broad applications in physics and engineering. This paper investigates a split mixed finite element method for such equations. By introducing intermediate variables, the fourth-order differential equation is reformulated as a system of lower-order equations. A semi-discrete split scheme is constructed, and the existence and uniqueness of its solution are established. Error estimates are derived using elliptic projection and the $L^2$-projection operator. A fully discrete split mixed finite element scheme is developed by applying the central difference method to discretize the time derivatives. The stability and convergence of the scheme are analyzed. Numerical experiments for a one-dimensional fourth-order hyperbolic equation validate the theoretical results.

Suggested Citation

  • Wei Ning & Ailing Zhu, 2026. "A Split Mixed Finite Element Method for Fourth-Order Hyperbolic Equations," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 18(1), pages 1-1, April.
    • Handle: RePEc:ibn:jmrjnl:v:18:y:2026:i:1:p:1
    as

    Download full text from publisher

    File URL: https://ccsenet.org/journal/index.php/jmr/article/download/0/0/52993/57783
    Download Restriction: no
    File URL: https://ccsenet.org/journal/index.php/jmr/article/view/0/52993
    Download Restriction: no
    ---><---

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    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:ibn:jmrjnl:v:18:y:2026:i:1:p:1. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.