English  |  正體中文  |  简体中文  |  Items with full text/Total items : 66984/66984 (100%)
Visitors : 22957098      Online Users : 478
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version


    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27955


    Title: On efficient least-squares finite element methods for convection-dominated problems
    Authors: Hsieh,PW;Yang,SY
    Contributors: 數學研究所
    Keywords: RESIDUAL-FREE BUBBLES;PARTIAL-DIFFERENTIAL-EQUATIONS;ADVECTIVE-DIFFUSIVE EQUATIONS;STOKES EQUATIONS;ERROR ANALYSIS;FORMULATION
    Date: 2009
    Issue Date: 2010-06-29 19:38:49 (UTC+8)
    Publisher: 中央大學
    Abstract: This paper focuses on the least-squares finite element method and its three variants for obtaining efficient numerical solutions to convection-dominated convection-diffusion problems. The coercivity estimates for the corresponding homogeneous least-squares energy functionals are derived, and based on which error estimates are established. One of the common advantages of these least-squares methods is that the resulting linear system is symmetric and positive definite. Numerical experiments that demonstrate the theoretical analysis of the developed methods are presented. It was observed that the primitive least-squares method performs poorly for convection-dominated problems while the stabilized, streamline diffusion and negatively stabilized streamline diffusion least-squares methods perform considerably better for interior layer problems, and the negatively stabilized streamline diffusion least-squares method is able to better capture the boundary layer behavior when compared with other least-squares methods. But all the least-squares methods do not give reasonable results for problem possessing both interior and boundary layer structures in the solution. (C) 2009 Elsevier B.V. All rights reserved.
    Relation: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
    Appears in Collections:[數學研究所] 期刊論文

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML556View/Open


    All items in NCUIR are protected by copyright, with all rights reserved.

    社群 sharing

    ::: Copyright National Central University. | 國立中央大學圖書館版權所有 | 收藏本站 | 設為首頁 | 最佳瀏覽畫面: 1024*768 | 建站日期:8-24-2009 :::
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback  - 隱私權政策聲明