Rice Univesrity Logo
    • FAQ
    • Deposit your work
    • Login
    View Item 
    •   Rice Scholarship Home
    • Faculty & Staff Research
    • Faculty Publications
    • View Item
    •   Rice Scholarship Home
    • Faculty & Staff Research
    • Faculty Publications
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Systematic Construction of Higher Order Bases for the Finite Element Analysis of Multiscale Elliptic Problems

    Thumbnail
    Name:
    MSFEMnew.pdf
    Size:
    2.361Mb
    Format:
    PDF
    View/Open
    Author
    Soghrati, Soheil; Stanciulescu, Ilinca
    Date
    2013
    Abstract
    We introduce a new approach to deriving higher order basis functions implemented in the Multiscale Finite Element Method (MsFEM) for elliptic problems. MsFEM relies on capturing small scale features of the system through bases utilized in the coarse scale solution. The proposed technique for the derivation of such bases is completely systematic and the increase in the associated computational cost is insignificant. We also show that the implementation of higher order bases in MsFEM leads to similar advantages as using higher order Lagrangian shape functions in the conventional finite element method. Various numerical examples for heat transfer problems with periodic or heterogeneous thermal properties are given to demonstrate the efficiency and improved characteristics of the proposed higher order bases.
    Citation
    Soghrati, Soheil and Stanciulescu, Ilinca. "Systematic Construction of Higher Order Bases for the Finite Element Analysis of Multiscale Elliptic Problems." Mechanics Research Communications, 52, (2013) Elsevier: 11-18. http://dx.doi.org/10.1016/j.mechrescom.2013.06.002.
    Published Version
    http://dx.doi.org/10.1016/j.mechrescom.2013.06.002
    Type
    Journal article
    Publisher
    Elsevier
    Citable link to this page
    https://hdl.handle.net/1911/76356
    Rights
    This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
    Metadata
    Show full item record
    Collections
    • Civil and Environmental Engineering Publications [179]
    • Faculty Publications [4988]
    • Mechanical Engineering Publications [151]

    Home | FAQ | Contact Us | Privacy Notice | Accessibility Statement
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map

     

    Searching scope

    Browse

    Entire ArchiveCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsTypeThis CollectionBy Issue DateAuthorsTitlesSubjectsType

    My Account

    Login

    Statistics

    View Usage Statistics

    Home | FAQ | Contact Us | Privacy Notice | Accessibility Statement
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map