| 具有最佳超收敛阶的EEP法计算格式:Ⅱ数值算例 |
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| 引用本文： | 袁驷,邢沁妍,王旭,叶康生. 具有最佳超收敛阶的EEP法计算格式:Ⅱ数值算例[J]. 工程力学, 2007, 24(11): 1-6 |
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| 作者姓名： | 袁驷 邢沁妍 王旭 叶康生 |
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| 作者单位： | 清华大学土木工程系结构工程与振动教育部重点实验室,北京,100084 |
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| 摘 要： | 对一维C0问题的高次有限元后处理中超收敛计算的EEP(单元能量投影)法提出改进的最佳超收敛计算格式,即用m次单元对足够光滑问题的有限元解答,采用该格式计算的任意一点的位移和应力都可以达到h2m阶的最佳超收敛结果。整个工作分为3个部分,分别给出算法公式、数值算例和数学证明。该文是系列工作的第二部分,给出实施算法和数值算例,用以验证理论公式的有效性和正确性。
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| 关 键 词： | 有限元 一维问题 超收敛 最佳收敛阶 单元能量投影 凝聚形函数 |
| 文章编号： | 1000-4750（2007）11-0001-06 |
| 修稿时间： | 2006-10-17 |
A SCHEME WITH OPTIMAL ORDER OF SUPER-CONVERGENCE BASED ON EEP METHOD: II NUMERICAL RESULTS |
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| YUAN Si,XING Qin-yan,WANG Xu,YE Kang-sheng. A SCHEME WITH OPTIMAL ORDER OF SUPER-CONVERGENCE BASED ON EEP METHOD: II NUMERICAL RESULTS[J]. Engineering Mechanics, 2007, 24(11): 1-6 |
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| Authors: | YUAN Si XING Qin-yan WANG Xu YE Kang-sheng |
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| Affiliation: | Key Laboratory Structural Engineering and Vibration of China Education Ministry Department of Civil Engineering, Tsinghua University, Beijing 100084, China |
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| Abstract: | Based on the Element Energy Projection (EEP) method, an improved scheme with optimal order of super-convergence, is presented for one-dimensional C 0 FEM, i.e. FEM sulotions can be obtained through the scheme for the elements with sufficient smooth property and m degrees. The proposed scheme is capable of producing O ( h 2m) super-convergence for both displacements and stresses at any point on an element in post- processing stage. The whole work consists of three parts, i.e. formulation, numerical results and mathematical analysis. The present paper is the second in the series and gives numerical algorithm and experimental results, which support the formulation proposed in the first part of the whole work. |
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| Keywords: | FEM one-dimensional problem super-convergence optimal convergence order element energy projection condensed shape functions |
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