| 有限元直接迭代算法中一种基本结构的研究 |
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| 引用本文： | 陈小斌.有限元直接迭代算法中一种基本结构的研究[J].物探化探计算技术,2000,22(2):132-136. |
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| 作者姓名： | 陈小斌 |
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| 作者单位： | 江汉石油学院,湖北,荆州,434102 |
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| 摘 要： | 首先探讨了基本结构的含义，提出笛卡尔直角坐标系下具体的基本结构，讨论了该基本结构的各种剖分方式；然后，基于有限元直接迭代算法原理，具体推导了其中一种剖分方式下的迭代格式；最后在正方形网格部分情形下，以拉普拉斯方程为例，分析了各部分方式所确定的迭代格式的截断误差。
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| 关 键 词： | 有限元直接迭代算法 DIFE 基本结构 亚基本结构 |
| 修稿时间： | 2000-01-03 |
THE STUDY OF A KIND OF FUNDAMENTAL STRUCTURE IN DIFE |
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| CHEN Xiao-bin.THE STUDY OF A KIND OF FUNDAMENTAL STRUCTURE IN DIFE[J].Computing Techniques For Geophysical and Geochemical Exploration,2000,22(2):132-136. |
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| Authors: | CHEN Xiao-bin |
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| Abstract: | In this article, the meaning of the fundamental structure is analyzed. The fundamental structure of Cartesian coordinate grid is presented. Some kinds of partition patterns of it are studied. One of concrete iterative forms is deduced based on the theory of DIFE. Finally, based on square grid we analyze the truncation error of various iterative forms of Laplace equation which are determined by various partition patterns. |
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| Keywords: | DIFE fundamental structure sub fundamental structure associative fundamental structure iterative form truncation error |
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