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

作　　者：罗迪凡[1] 张敏[1] 谭林[1] 赵建斌[2] 

机构地区：[1]南华大学数理学院,湖南衡阳421001 [2]滨州学院计算机科学学院,山东宾洲256603

出　　处：《南华大学学报（自然科学版）》2009年第4期44-48,共5页Journal of University of South China：Science and Technology

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.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.

关 键 词：剖分结点 鱼鼓型 插值结点 插值基函数 能量内积 

分 类 号：O241.82[理学—计算数学]