研究生: |
高偉庭 Kao, Wei-Ting |
---|---|
論文名稱: |
一個解非線性斯托克斯方程的弱伽遼金有限元素法應用於冰層動力學 A weak Galerkin finite element method for solving the nonlinear Stokes equation with application to ice-sheet dynamics |
指導教授: |
朱家杰
Chu, Chia-Chieh Jay |
口試委員: |
蔡志強
Tsai, Je-Chiang 薛名成 Shiue, Ming-Cheng |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 數學系 Department of Mathematics |
論文出版年: | 2022 |
畢業學年度: | 110 |
語文別: | 英文 |
論文頁數: | 26 |
中文關鍵詞: | 有限元素法 、非線性斯托克斯方程 、弱伽遼金方法 、冰層動力學 |
外文關鍵詞: | finite element methods, nonlinear Stokes equation, weak Galerkin methods, ice-sheet dynamics |
相關次數: | 點閱:2 下載:0 |
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近年來,由於全球氣溫上升,兩極的冰川開始被大家重視。與其相關的
科學領域是冰層動力學,一門探討冰層受到外力後如何運動的自然科學。
在數學領域上,冰層模型多用非線性斯托克斯方程描述。我們使用弱伽遼
金有限元素法求解此偏微分方程,並且利用相同方法下解線性托克斯方程
的結果及固定點疊代法,給出有效的估計結果。
Recently, due to global temperature raise, the polar glaciers are gradually emphasized.
The related science field is glacier dynamics, describe how glaciers move
under the environmental force. The glacier model is usually modelled by nonlinear
Stokes equation in mathematics. We use weak Galerkin finite element method
to solve this PDE and give an effective approximation by the fixed point iteration
method and the result of solving the linear Stokes equation in the weak Galerkin
finite element method.
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