| STOKES问题的优化结果 |
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| 引用本文： | 高少芹. STOKES问题的优化结果[J]. 河北大学学报(自然科学版), 2010, 30(6) |
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| 作者姓名： | 高少芹 |
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| 作者单位： | 河北大学,数学与计算机学院,河北,保定,071002 |
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| 基金项目： | 河北省教育厅自然科学基金 |
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| 摘 要： | 为了研究Stokes问题的最小二乘有限元近似解的超收敛结果,利用最小二乘曲面拟合的方法给出了Stokes问题的最小二乘有限元解中速度的优化结果.该结果表明:随着构成拟合空间的分片多项式次数的增加,理论上得到的速度的近似解精度越高.该结果是以Stokes问题的正则性为前提的.
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| 关 键 词： | Stokes问题 最小二乘有限元 速度 优化 |
Optimized Result for the Stokes Problem |
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| GAO Shao-qin. Optimized Result for the Stokes Problem[J]. Journal of Hebei University (Natural Science Edition), 2010, 30(6) |
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| Authors: | GAO Shao-qin |
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| Affiliation: | GAO Shao-qin(College of Mathematics and Computer Science,Hebei University,Baoding 071002,China) |
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| Abstract: | The objective is to study the superconvergence result for the least-squares finite element approximation of Stokes proplem.An optimized result of velocity for the least squares finite element approxiations of Stokes problem using a least-squares surface fitting method is developed.In theory the accuracy of velocity will be developed with the increasing order of piece-wise polynomials of fitting space.The result is based on some regularity assumption for the Stokes problem. |
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| Keywords: | Stokes problem the least-squares finite element method velocity optimized |
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