IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v218y2024icp704-721.html
   My bibliography  Save this article

Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case

Author

Listed:
  • Bandeira, L.
  • Pedregal, P.

Abstract

We focus on several direct vector, variational principles to tackle the practical recovery problem of an unknown conductivity coefficient from boundary measurements. Though the problem is classical and have received a lot of attention because of its practical significance, the variational methods we explore are not so. Despite difficulties associated with the vector nature of the problems, including lack of (quasi, poly)-convexity, experiments show remarkable performance of some of the functionals examined. Beyond the specific meaning of such computations for inverse conductivity problems, the task of approximating the optimal solutions of vector, variational problems, as in hyperelasticity models or non-linear PDE systems at the level of optimality, is also interesting on its own right.

Suggested Citation

  • Bandeira, L. & Pedregal, P., 2024. "Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 704-721.
    • Handle: RePEc:eee:matcom:v:218:y:2024:i:c:p:704-721
    DOI: 10.1016/j.matcom.2023.12.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475423005244
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2023.12.017?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 search for a different version of it.

    References listed on IDEAS

    as
    1. H. Kunze & D. La Torre & K. Levere & M. Ruiz Galán, 2015. "Inverse Problems via the “Generalized Collage Theorem” for Vector-Valued Lax-Milgram-Based Variational Problems," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:218:y:2024:i:c:p:704-721. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.