IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v239y2026icp629-645.html
   My bibliography  Save this article

A multi-domain spectral collocation method for PDEs in curved domains with holes

Author

Listed:
  • Wang, Chuan
  • Wang, Zhongqing
  • Zhang, Chao

Abstract

This paper presents a novel spectral collocation method that combines domain decomposition and mapping techniques for solving second-order elliptic equations with variable coefficients, as well as time-dependent advection–diffusion–reaction equations in a curved domain with holes. The process begins by partitioning the curved domain with holes into several subdomains. Each subdomain is then mapped to a regular domain through a polar coordinate transformation. Following this, linear transformations are applied to map these subdomains onto the reference element (−1,1)×(−1,1). Numerical simulations are performed on each reference element using the classical spectral collocation method. The numerical results demonstrate the high accuracy of the proposed approach.

Suggested Citation

  • Wang, Chuan & Wang, Zhongqing & Zhang, Chao, 2026. "A multi-domain spectral collocation method for PDEs in curved domains with holes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 239(C), pages 629-645.
    • Handle: RePEc:eee:matcom:v:239:y:2026:i:c:p:629-645
    DOI: 10.1016/j.matcom.2025.07.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475425002836
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2025.07.017?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:eee:matcom:v:239:y:2026:i:c:p:629-645. 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.