| 有限元方法的Gauss积分和Hammer积分方案 |
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| 引用本文： | 孙美玲,江山.有限元方法的Gauss积分和Hammer积分方案[J].南通职业大学学报,2009,23(3):67-70. |
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| 作者姓名： | 孙美玲 江山 |
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| 作者单位： | 1. 南通职业大学,教育技术中心,江苏,南通,226007
2. 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 基金项目： | 南通职业大学自然科学基金项目 |
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| 摘 要： | 研究了一致网格剖分下矩形单元的Gauss数值积分和三角形单元的Hammer数值积分；再利用有限元方法求解偏微分方程，且通过非奇异问题和奇异问题的数值算例观察解的l2范数误差；进而研究单元数值积分对有限元解的精度的影响，并给出了有效且经济的数值积分方案。
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| 关 键 词： | 有限元方法 Gauss积分 Hammer积分 求积点 |
The Gauss Integral Scheme and Hammer Integral Scheme in the Finite Element Method |
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| SUN Mei-ling,JIANG Shan.The Gauss Integral Scheme and Hammer Integral Scheme in the Finite Element Method[J].Journal of Nantong Vocational College,2009,23(3):67-70. |
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| Authors: | SUN Mei-ling JIANG Shan |
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| Institution: | 1. Center of Educational Technology, Nantong Vocational College, Nantong 226007, China; 2. School of Mathematics Science, Yangzhou University, Yangzhou 225002, China) |
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| Abstract: | The numerical integral scheme under the uniform meshes is studied in this paper, with Gauss integral for the rectangular element and Hammer integral for the triangular element, respectively. Applying the finite element method to solving the non-singular and singular partial differential equations and observing the 12 norm error through the numerical experiments, this paper researches the influence of elemental integral on accuracy, and provides the effective and economical numerical integral scheme. |
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| Keywords: | finite element method Gauss integral Hammer integral integral points |
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