摘要: |
本文研究了正方体区域上Q_1~(rot)非协调元渐近展开式.利用林群、吕涛等提出的有限元误差渐近展开法,获得了正方体区域上Q_1~(rot)非协调元特征值的误差渐近展开式.理论分析和数值实验结果表明三维Q_1~(rot)非协调元特征值外推公式是有效的,可以把特征值的精度从二阶提高到四阶. |
关键词: Q_l~(rot)非协调元 特征值 渐近展式 3维Poisson方程 |
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基金项目:国家自然科学基金资助项目(10761003) |
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ASYMPTOTIC EXPANSION AND EXTRAPOLATION OF Q_1~(rot) ELEMENT IN THREE-DIMENSIONAL DOMAIN |
REN Shan-jing,YANG Yi-du
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REN Shan-jing~1,YANG Yi-du~2 (1.School of Math.and Comp.Science,Guizhou Normal College,Guiyang 550018,China) (2.School of Math.and Comp.Science,Guizhou Normal University,Guiyang 550001,China)
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Abstract: |
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Key words: non-conforming Q_1~(rot) element eigenvalue asymptotic expansion three-dimensional Poisson equation |