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研究生: 陳家翎
Chen, Jai-Ling
論文名稱: 有限元素法之物件導向程式設計
Object Oriented Programming for Finite Element Methods
指導教授: 侯世章
Hou, Suchung
學位類別: 碩士
Master
系所名稱: 理學院 - 數學系應用數學碩博士班
Department of Mathematics
論文出版年: 2002
畢業學年度: 90
語文別: 英文
論文頁數: 50
中文關鍵詞: 有限元素法
外文關鍵詞: finite element methods
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    In finite element method, We need to make a grid of problem space, assemble stiffness matrix , global matrix and right hand side vector to obtain a linear system.
    Then use numerical methods to solve the linear system to find the numerical solution.
    In this paper we use DEAL.II library to programming the finite element method to find a numerical solution.

    1 Introduction 1 2 Finite element method for eliliptic problem 1 3 Finite element method for hyperbolic problem 5 3.1 Standard Galerkin method . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 The discontinuous Galerkin method . . . . . . . . . . . . . . . . . . . 8 4 Deal.II 10 4.1 Create a grid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 4.2 Solving the problem. . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 4.3 Data output and graphic the solution. . . . . . . . . . . . . . . . . . 16 4.4 Example of programming . . . . . . . . . . . . . . . . . . . . . . . . . 18 5 Examples 29 References 50

    ibitem {Johnson} Claes Johnson, extit{Numerical solution of partial differential equations by the finite elements method},
    CAMBRIDGE UNIVERSITY PRESS
    ibitem {Strauss} Walter A. Strauss, extit{Parial differental equations an introduction}
    ibitem {Deal.II} Deal.II Team, extit{Deal.II} , Homepage: http://www.dealii.org

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