| 二维有限元线法自适应分析的若干新进展 |
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| 引用本文： | 袁驷,方楠,王旭,叶康生,邢沁妍.二维有限元线法自适应分析的若干新进展[J].工程力学,2011(3):1-8. |
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| 作者姓名： | 袁驷 方楠 王旭 叶康生 邢沁妍 |
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| 作者单位： | 清华大学土木工程系土木工程安全与耐久教育部重点实验室; |
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| 基金项目： | 国家自然科学基金项目(50678093); 长江学者和创新团队发展计划项目(IRT00736) |
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| 摘 要： | 有限元线法(FEMOL)是一种优良的半解析、半离散方法,将其比拟为广义一维问题,遂可将一维有限元中十分成功的单元能量投影(EEP)超收敛算法以及基于该法的自适应求解方法推广到二维有限元线法分析中,至今已在二维Poisson方程和弹性力学平面问题中取得了令人满意的进展.该文旨在报道这些进展和成果.该文简要介绍了线法的EE...
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| 关 键 词： | 有限元线法 单元能量投影 超收敛 自适应 二维边值问题 |
NEW PROGRESS IN SELF-ADAPTIVE ANALYSIS OF TWO-DIMENSIONAL FINITE ELEMENT METHOD OF LINES |
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| YUAN Si,FANG Nan,WANG Xu,YE Kang-sheng,XING Qin-yan.NEW PROGRESS IN SELF-ADAPTIVE ANALYSIS OF TWO-DIMENSIONAL FINITE ELEMENT METHOD OF LINES[J].Engineering Mechanics,2011(3):1-8. |
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| Authors: | YUAN Si FANG Nan WANG Xu YE Kang-sheng XING Qin-yan |
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| Affiliation: | *YUAN Si,FANG Nan,WANG Xu,YE Kang-sheng,XING Qin-yan(Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry,Department of Civil Engineering,Tsinghua University,Beijing 100084,China) |
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| Abstract: | The finite element method of lines(FEMOL) is a general and powerful semi-discretized method for BVPs.By viewing it as a generalized one-dimensional method,the well-developed Element Energy Projection(EEP) method for super-convergence computation in one-dimensional FEM can readily be extended to the case of two-dimensional FEMOL.In addition,the successful self-adaptive strategy in one-dimensional FEM can also be extended to the two-dimensional FEMOL analysis.By now,a series of satisfactory progress has been ... |
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| Keywords: | finite element method of lines(FEMOL) element energy projection(EEP) super-convergence self-adaptive two-dimensional BVPs |
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