Skip to content
University of Maryland LibrariesDigital Repository at the University of Maryland
    • Login
    View Item 
    •   DRUM
    • College of Computer, Mathematical & Natural Sciences
    • Computer Science
    • Technical Reports from UMIACS
    • View Item
    •   DRUM
    • College of Computer, Mathematical & Natural Sciences
    • Computer Science
    • Technical Reports from UMIACS
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Iterative Methods for Stabilized DiscreteConvection--Diffusion Problems

    Thumbnail
    View/Open
    CS-TR-3945.ps (653.2Kb)
    No. of downloads: 272

    Auto-generated copy of CS-TR-3945.ps (449.6Kb)
    No. of downloads: 1567

    Date
    1998-10-28
    Author
    Shih, Yin-Tzer
    Elman, Howard C.
    Metadata
    Show full item record
    Abstract
    In this paper, we study the computational cost of solving the convection-diffusion equation using various discretization strategies and iteration solution algorithms. The choice of discretization influences the properties of the discrete solution and also the choice of solution algorithm. The discretizations considered here are stabilized low order finite element schemes using streamline diffusion, crosswind diffusion and shock--capturing. The latter, shock--capturing discretizations lead to nonlinear algebraic systems and require nonlinear algorithms. We compare various preconditioned Krylov subspace methods including Newton--Krylov methods for nonlinear problems, as well as several preconditioners based on relaxation and incomplete factorization. We find that although enhanced stabilization based on shock--capturing requires fewer degrees of freedom than linear stabilizations to achieve comparable accuracy, the nonlinear algebraic systems are more costly to solve than those derived from a judicious combination of streamline diffusion and crosswind diffusion. Solution algorithms based on GMRES with incomplete block--matrix factorization preconditioning are robust and efficient. (Also cross-referenced as UMIACS-TR-98-58)
    URI
    http://hdl.handle.net/1903/972
    Collections
    • Technical Reports from UMIACS
    • Technical Reports of the Computer Science Department

    DRUM is brought to you by the University of Maryland Libraries
    University of Maryland, College Park, MD 20742-7011 (301)314-1328.
    Please send us your comments.
    Web Accessibility
     

     

    Browse

    All of DRUMCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister
    Pages
    About DRUMAbout Download Statistics

    DRUM is brought to you by the University of Maryland Libraries
    University of Maryland, College Park, MD 20742-7011 (301)314-1328.
    Please send us your comments.
    Web Accessibility