English  |  正體中文  |  简体中文  |  Items with full text/Total items : 73032/73032 (100%)
Visitors : 23288157      Online Users : 474
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/987654321/66913

    Title: A Nonlinear Multiscale Finite Element Method for Poisson-Boltzmann Equation
    Authors: 丹明輝;Azmi,Rizal Dian
    Contributors: 數學系
    Keywords: 多尺度;有限元素法;Poisson-Boltzmann;Multiscale;Finite Element Method;Poisson-Boltzmann
    Date: 2014-11-13
    Issue Date: 2015-03-16 15:59:59 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 在兩個均勻帶電的平行板中,對稱的電解質通常使用泊松-波茲曼方程來做模擬,進而使用非線性泊松-波茲曼方程做修正。而針對此問題,我們以不精確地回溯牛頓迭代法來求解。在離散方法上若採用標準的蓋勒肯法,則需要細密的網格才可達到較為精確的解。因此為了避免網格的需求,我們在較少的網格上採用多重尺度有限元素法來求出更精確的解。在本文中導入多重尺度基底及泡泡函數,並使用此兩者來對全域的多重尺度有限元素方程求解,同時我們也展現了多重尺度在每個牛頓法迭代次數的改變。
    ;The Poisson–Boltzmann equation (PBE) is used to model the symmetric electrolyte in two parallel uniformly charged plates. A Correction problem formed to approach the
    nonlinear Poisson-Boltzmann equation. The inexact Newton with backtracking method iteration used to solve that correction problem. In the discretization, the standard Galerkin method requires the small grid to achieves accurate result. To avoid this, a multiscale finite element is used to get the better accurate result with a few grid partition. A residual free method is used to derive the multiscale basis and bubble function. This multiscale basis and bubble function used to solved the global solution of multiscale finite element method. It is shown that multiscale basis is changed in each Newton iteration.
    Appears in Collections:[數學研究所] 博碩士論文

    Files in This Item:

    File Description SizeFormat

    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