IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-69777-0_26.html
   My bibliography  Save this book chapter

A Numerical Descent Method for an Inverse Problem of a Scalar Conservation Law Modelling Sedimentation

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • R. Bürger

    (Universidad de Concepción, Departamento de Ingeniería Matemática)

  • A. Coronel

    (Universidad del Bío-Bío, Departamento de Ciencias Básicas, Facultad de Ciencias)

  • M. Sepúlveda

    (Universidad de Concepción, Departamento de Ingeniería Matemática)

Abstract

This contribution presents a numerical descent method for the identification of parameters in the flux function of a scalar nonlinear conservation law when the solution at a fixed time is known. This problem occurs in a model of batch sedimentation of an ideal suspension. We formulate the identification problem as a minimization problem of a suitable cost function and derive its formal gradient by means of a first-order perturbation of the solution of the direct problem, which yields a linear transport equation with source term and discontinuous coefficients. for the numerical approach, we assume that the direct problem is discretized by the Engquist-Osher scheme and obtain a discrete first order perturbation associated to this scheme. The discrete gradient is used in combination with the conjugate gradient and coordinate descent methods to find numerically the flux parameters.

Suggested Citation

  • R. Bürger & A. Coronel & M. Sepúlveda, 2008. "A Numerical Descent Method for an Inverse Problem of a Scalar Conservation Law Modelling Sedimentation," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 225-232, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_26
    DOI: 10.1007/978-3-540-69777-0_26
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-540-69777-0_26. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.