IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v50y1999i1p63-76.html
   My bibliography  Save this article

The immersed finite volume element methods for the elliptic interface problems

Author

Listed:
  • Ewing, Richard E.
  • Li, Zhilin
  • Lin, Tao
  • Lin, Yanping

Abstract

An immersed finite element space is used to solve the elliptic interface problems by a finite volume element method. Special nodal basis functions are introduced in a triangle whose interior intersects with the interface so that the jump conditions across the interface are satisfied. Optimal error estimates in an energy norm are obtained. Numerical results are supplied to justify the theoretical work and to reveal some interesting features of the method.

Suggested Citation

  • Ewing, Richard E. & Li, Zhilin & Lin, Tao & Lin, Yanping, 1999. "The immersed finite volume element methods for the elliptic interface problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 50(1), pages 63-76.
    • Handle: RePEc:eee:matcom:v:50:y:1999:i:1:p:63-76
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475499000610
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Coco, A. & Semplice, M. & Serra Capizzano, S., 2020. "A level-set multigrid technique for nonlinear diffusion in the numerical simulation of marble degradation under chemical pollutants," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    2. Ahmed Ullah, Sheik & Zhao, Shan, 2020. "Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    3. Peng, Jie & Shu, Shi & Yu, HaiYuan & Feng, Chunsheng & Kan, Mingxian & Wang, Ganghua, 2017. "Error estimates on a finite volume method for diffusion problems with interface on rectangular grids," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 335-352.
    4. Mengya Su & Liuqing Xie & Zhiyue Zhang, 2022. "Numerical Analysis of Fourier Finite Volume Element Method for Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domains," Mathematics, MDPI, vol. 10(24), pages 1-26, December.
    5. Feng, Qiwei & Han, Bin & Minev, Peter, 2022. "A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients," Applied Mathematics and Computation, Elsevier, vol. 431(C).

    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:50:y:1999:i:1:p:63-76. 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.