IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v267y2015icp252-263.html
   My bibliography  Save this article

Fast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements

Author

Listed:
  • Anjam, I.
  • Valdman, J.

Abstract

We propose an effective and flexible way to assemble finite element stiffness and mass matrices in MATLAB. We apply this for problems discretized by edge finite elements. Typical edge finite elements are Raviart–Thomas elements used in discretizations of H(div) spaces and Nédélec elements in discretizations of H(curl) spaces. We explain vectorization ideas and comment on a freely available MATLAB code which is fast and scalable with respect to time.

Suggested Citation

  • Anjam, I. & Valdman, J., 2015. "Fast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 252-263.
    • Handle: RePEc:eee:apmaco:v:267:y:2015:i:c:p:252-263
    DOI: 10.1016/j.amc.2015.03.105
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315004191
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.03.105?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. Moskovka, Alexej & Valdman, Jan, 2022. "Fast MATLAB evaluation of nonlinear energies using FEM in 2D and 3D: Nodal elements," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    2. Yan-Ran Li & Xin-Hui Shao & Shi-Yu Li, 2021. "New Preconditioned Iteration Method Solving the Special Linear System from the PDE-Constrained Optimal Control Problem," Mathematics, MDPI, vol. 9(5), pages 1-13, March.
    3. Miroslav Frost & Jan Valdman, 2022. "Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys," Mathematics, MDPI, vol. 10(23), pages 1-17, November.
    4. Voet, Yannis, 2023. "On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems," Applied Mathematics and Computation, Elsevier, vol. 436(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:apmaco:v:267:y:2015:i:c:p:252-263. 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.