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; The design of two-dimensional p-version finite element method using triangular element by C++

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7950

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;The design of two-dimensional p-version finite element method using triangular element by C++
Authors:	梁坤善;Kun-Shan Liang
Contributors:	數學研究所
Keywords:	Hierarchical shape function;Jacobi Polynomials;weak formulation;有限元素法;p-version 有限元素法;finite element method;hierarchical shape function;Jacobi Polynomials;weak formulation;p-version finite element method
Date:	2008-06-19
Issue Date:	2009-09-22 11:09:56 (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 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.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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