• 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 LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Type
    Article
    Authors
    Bryant, C. M.
    Prudhomme, S.
    Wildey, T.
    Date
    2015-01
    Permanent link to this record
    http://hdl.handle.net/10754/597966
    
    Metadata
    Show full item record
    Abstract
    In this work, we investigate adaptive approaches to control errors in response surface approximations computed from numerical approximations of differential equations with uncertain or random data and coefficients. The adaptivity of the response surface approximation is based on a posteriori error estimation, and the approach relies on the ability to decompose the a posteriori error estimate into contributions from the physical discretization and the approximation in parameter space. Errors are evaluated in terms of linear quantities of interest using adjoint-based methodologies. We demonstrate that a significant reduction in the computational cost required to reach a given error tolerance can be achieved by refining the dominant error contributions rather than uniformly refining both the physical and stochastic discretization. Error decomposition is demonstrated for a two-dimensional flow problem, and adaptive procedures are tested on a convection-diffusion problem with discontinuous parameter dependence and a diffusion problem, where the diffusion coefficient is characterized by a 10-dimensional parameter space.
    Citation
    Bryant CM, Prudhomme S, Wildey T (2015) Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty. SIAM/ASA J Uncertainty Quantification 3: 1020–1045. Available: http://dx.doi.org/10.1137/140962632.
    Sponsors
    This material is based on work supported by the Department of Energy [National Nuclear Security Administration] under award DE-FC52-08NA28615.This author participated in the Visitors’ Program of the KAUST SRI Center for Uncertainty Quantification in Computational Science and Engineering.This author is a participant of the KAUST SRI Center for Uncertainty Quantification in Computational Science and Engineering.
    Publisher
    Society for Industrial & Applied Mathematics (SIAM)
    Journal
    SIAM/ASA Journal on Uncertainty Quantification
    DOI
    10.1137/140962632
    ae974a485f413a2113503eed53cd6c53
    10.1137/140962632
    Scopus Count
    Collections
    Publications Acknowledging KAUST Support

    entitlement

     
    DSpace software copyright © 2002-2023  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    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.