• Login
    View Item 
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguidePlumX LibguideSubmit an Item

    Statistics

    Display statistics

    Numerical methods for conservation laws with rough flux

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Type
    Article
    Authors
    Hoel, H. cc
    Karlsen, K. H.
    Risebro, N. H.
    Storrøsten, E. B.
    KAUST Grant Number
    CRG4 Award Ref: 2584
    Date
    2019-06-14
    Preprint Posting Date
    2018-02-02
    Online Publication Date
    2019-06-14
    Print Publication Date
    2020-03
    Permanent link to this record
    http://hdl.handle.net/10754/630807
    
    Metadata
    Show full item record
    Abstract
    Finite volume methods are proposed for computing approximate pathwise entropy/kinetic solutions to conservation laws with flux functions driven by low-regularity paths. For a convex flux, it is demonstrated that driving path oscillations may lead to “cancellations” in the solution. Making use of this property, we show that for α-Hölder continuous paths the convergence rate of the numerical methods can improve from O(COST -γ) , for some γ∈ [α/ (12 - 8 α) , α/ (10 - 6 α)] , with α∈ (0 , 1) , to O(COST -min(1/4,α/2)). Numerical examples support the theoretical results.
    Citation
    Hoel, H., Karlsen, K. H., Risebro, N. H., & Storrøsten, E. B. (2019). Numerical methods for conservation laws with rough flux. Stochastics and Partial Differential Equations: Analysis and Computations. doi:10.1007/s40072-019-00145-7
    Sponsors
    This work received supported by the Research Council of Norway through the project Stochastic Conservation Laws (250674/F20) and by the KAUST CRG4 Award Ref: 2584.
    Publisher
    Springer Science and Business Media LLC
    Journal
    Stochastics and Partial Differential Equations: Analysis and Computations
    DOI
    10.1007/s40072-019-00145-7
    arXiv
    1802.00708
    Additional Links
    http://link.springer.com/10.1007/s40072-019-00145-7
    ae974a485f413a2113503eed53cd6c53
    10.1007/s40072-019-00145-7
    Scopus Count
    Collections
    Publications Acknowledging KAUST Support

    entitlement

     
    DSpace software copyright © 2002-2021  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.