| 罗迪凡，张敏，谭林,赵建斌.鱼鼓型网格线性有限元方法及收敛性分析[J].南华大学学报(自然科学版),2009,23(4):44~48.[LUO Di-fan1,ZHANG Min1,TAN Lin1,ZHAO Jian-bin2.The Linear Finite Element Method and Convergement Analysis on Fish’s Drum Grids[J].Journal of University of South China(Science and Technology),2009,23(4):44~48.] |
| 鱼鼓型网格线性有限元方法及收敛性分析 |
| The Linear Finite Element Method and Convergement Analysis on Fish’s Drum Grids |
| 投稿时间：2009-09-08 |
| DOI： |
| 中文关键词: 剖分结点 鱼鼓型 插值结点 插值基函数 能量内积 |
| 英文关键词:subdivision joints fish’s drum grids inserting value joints base function of inserting value inner product in energy |
| 基金项目: |
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| 中文摘要: |
| 通过用几何分解法对二维平面上的Possion方程边值问题进行研究.在二维平面上对有限元空间进行鱼股型剖分,这种剖分具有良好的剖分过渡性，且单元之间过渡相对平稳.由网格剖分的自适应性保证了计算解的精确可靠.然后，利用巧妙的证明及推理，避开烦琐的计算，从而得出具有较好逼近性的分析结果. |
| 英文摘要: |
| The numerical calculation for the boundary value problem of Possion equation is researched on the two-dimensional domain,using geometric decomposition method in this paper.Here fish’s drum type meshes are subdivided,which has good subdivision transitionalty.The transition between the units is relatively steady.It is reliable and accurate that the adaptive of net subdivision has guaranteed the solution of calculation.Then,by ingenious identification and reasoning,the analysis results with good approximation are attained,avoiding convoluted calculation. |
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