IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i5p497-d507827.html
   My bibliography  Save this article

Discontinuous Galerkin Isogeometric Analysis of Convection Problem on Surface

Author

Listed:
  • Liang Wang

    (Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China)

  • Chunguang Xiong

    (Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China)

  • Xinpeng Yuan

    (State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, China Meteorological Administration, Beijing 100081, China)

  • Huibin Wu

    (Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China)

Abstract

The objective of this work is to study finite element methods for approximating the solution of convection equations on surfaces embedded in R 3 . We propose the discontinuous Galerkin (DG) isogeometric analysis (IgA) formulation to solve convection problems on implicitly defined surfaces. Three numerical experiments shows that the numerical scheme converges with the optimal convergence order.

Suggested Citation

  • Liang Wang & Chunguang Xiong & Xinpeng Yuan & Huibin Wu, 2021. "Discontinuous Galerkin Isogeometric Analysis of Convection Problem on Surface," Mathematics, MDPI, vol. 9(5), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:497-:d:507827
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/5/497/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/5/497/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yanming Xu & Haozhi Li & Leilei Chen & Juan Zhao & Xin Zhang, 2022. "Monte Carlo Based Isogeometric Stochastic Finite Element Method for Uncertainty Quantization in Vibration Analysis of Piezoelectric Materials," Mathematics, MDPI, vol. 10(11), pages 1-17, May.

    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:gam:jmathe:v:9:y:2021:i:5:p:497-:d:507827. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.