DC 欄位 |
值 |
語言 |
DC.contributor | 數學系 | zh_TW |
DC.creator | 梁坤善 | zh_TW |
DC.creator | Kun-Shan Liang | en_US |
dc.date.accessioned | 2008-6-27T07:39:07Z | |
dc.date.available | 2008-6-27T07:39:07Z | |
dc.date.issued | 2008 | |
dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=952201027 | |
dc.contributor.department | 數學系 | zh_TW |
DC.description | 國立中央大學 | zh_TW |
DC.description | National Central University | en_US |
dc.description.abstract | 在本論文中,我們使用 C++ 程式語言設計一個二維空間上的 p-version 有限元素法程式,在此設計中,我們使用三角形元素計算以下偏微分方程的數值解
sum^{n}_{l=1} { - bigtriangledown cdot (A^{kl} bigtriangledown u_{l}) + B^{kl} cdot bigtriangledown u_{l}+ C^{kl} u_{l} - bigtriangledown cdot (D^{kl} u_{l}) } = f^{k} , k = 1 cdots n
這裡 $n$ 是變數的個數,$k$ 表示第幾條方程式
本論文將詳細說明程式架構與所使用的 hierarchical shape function | zh_TW |
dc.description.abstract | In this paper, we design two-dimensional p-version finite element using triangular elements by C++. In design, we solve the following partial differential equations by using triangular elements
sum^{n}_{l=1} { - bigtriangledown cdot (A^{kl} bigtriangledown u_{l}) + B^{kl} cdot bigtriangledown u_{l}+ C^{kl} u_{l} - bigtriangledown 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. | en_US |
DC.subject | Hierarchical shape function | zh_TW |
DC.subject | Jacobi Polynomials | zh_TW |
DC.subject | weak formulation | zh_TW |
DC.subject | 有限元素法 | zh_TW |
DC.subject | p-version 有限元素法 | zh_TW |
DC.subject | finite element method | en_US |
DC.subject | hierarchical shape function | en_US |
DC.subject | Jacobi Polynomials | en_US |
DC.subject | weak formulation | en_US |
DC.subject | p-version finite element method | en_US |
DC.title | 在二維空間上使用三角形元素的 p-version 有限元素法程式設計 | zh_TW |
dc.language.iso | zh-TW | zh-TW |
DC.title | The design of two-dimensional p-version finite element method using triangular element by C++ | en_US |
DC.type | 博碩士論文 | zh_TW |
DC.type | thesis | en_US |
DC.publisher | National Central University | en_US |