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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7933


    Title: 在二維空間中使用矩形元素 p-version 有限元素法程式設計;The design of two-dimensional p-version finite element method using rectangular elements by C++
    Authors: 徐玉榮;Yu-Rong Syu
    Contributors: 數學研究所
    Keywords: weak formulation;Legendre Polynomails;hierarchical shape function;有限元素法;p-version 有限元素法;finite element method;hierarchical shape function;p-version finite element method;weak formulation;Legendre Polynomails
    Date: 2008-06-19
    Issue Date: 2009-09-22 11:09:28 (UTC+8)
    Publisher: 國立中央大學圖書館
    Abstract: 在本論文中,我們使用 C++ 程式語言設計一個在二維空間上的 p-version 有限元素法程式。在此設計中,我們使用矩形元素計算以下偏微分方程的數值解[sum^{n}_{l=1} { - igtriangledown cdot (A^{kl} igtriangledown u_{l}) + B^{kl} cdot igtriangledown u_{l} + C^{kl} u_{l} - igtriangledown cdot (D^{kl} u_{l}) } = f^{k} , , k = 1 cdots n]這裡 n 是變數的個數,k 代表第幾條式子,因此上式有 n 個條式子。本論文將詳細說明程式架構與所使用的 hierarchical shape function In this paper, we design two-dimensional p-version finite element using rectangular elements by C++. In design, we solve the following partial differential equations by using rectangular elements[sum^{n}_{l=1} { - igtriangledown cdot (A^{kl} igtriangledown u_{l}) + B^{kl} cdot igtriangledown u_{l} + C^{kl} u_{l} - igtriangledown cdot (D^{kl} u_{l}) } = f^{k} , , k = 1 cdots n]where n is the number of variables, k stands for the number of equations, so we have n equations.This paper will show the struct of program and hierarchical shape function.
    Appears in Collections:[數學研究所] 博碩士論文

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