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研究生： 柯承頤
Ke, Cheng-yi
論文名稱： 不連續有限元素法解橢圓問題的數值研究
Numerical Study for Elliptic Problems by Discontinuous Galerkin Methods
指導教授： 陳旻宏
Chen, Min-Hung
王辰樹
Wang, Chern-Shuh
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： 2008
畢業學年度： 96
語文別： 英文
論文頁數： 56
外文關鍵詞： LDG, eigenvalue problem, elliptic problem
相關次數： 點閱：69  下載：1 
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    • In this paper, we study the Discontinuous Galerkin methods for elliptic boundary value problems and Laplace eigenvalue problems. And at last, numerical experiments for poisson's equation and laplace eigenproblems are presented to study the performance of the DG methods.

    1 Introduction 1 2 DG methods for Poisson’s equation 3 2.1 Well-posedness of weak formulation for Poisson’s equation . . . . . . 3 2.2 Well-posedness of DG methods for Poisson’s equation . . . . . . . . 13 2.3 Numerical results of DG method for Poisson’s equation . . . . . . . 24 3 DG method for Laplace eigenproblem 33 3.1 Introduction to solve Laplace eigenproblem by DG method . . . . . 33 3.2 Numerical results of DG method for Laplace eigenproblem . . . . . . 34 3.3 Power method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 4 Concluding remarks and Future work 45 5 Appendix: Solving Poisson’s equation by DG method in 1D domain 46 5.1 1D single domain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 5.2 1D domain with an interior node . . . . . . . . . . . . . . . . . . . . 49

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