| 含弥散平面两相渗流驱动问题有限元方法的误差分析 |
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| 引用本文： | 程爱杰. 含弥散平面两相渗流驱动问题有限元方法的误差分析[J]. 系统科学与数学, 1999, 19(4): 478-483 |
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| 作者姓名： | 程爱杰 |
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| 作者单位： | 山东大学数学系!济南２５０１００ |
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| 基金项目： | 国家教委博士点基金，国家自然科学基金 |
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| 摘 要： | 研究了平面两相渗流可压缩问题含弥散情形的矩形有限元格式．引进一类插值算子，通过插值函数证明了有限元解的最优误差估计．
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| 关 键 词： | 可压缩渗流问题 矩形有限元 误差分析 |
ERROR ANALYSIS OF FINITE ELEMENT METHOD FOR COMPRESSIBLE DISPLACEMENT WITH DISPERSION |
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| Jie Ai CHENG. ERROR ANALYSIS OF FINITE ELEMENT METHOD FOR COMPRESSIBLE DISPLACEMENT WITH DISPERSION[J]. Journal of Systems Science and Mathematical Sciences, 1999, 19(4): 478-483 |
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| Authors: | Jie Ai CHENG |
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| Affiliation: | Department of Mathematics, Shandong University, Jinan, 250100,P.R.China |
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| Abstract: | A rectangular finite element method is analysed for a model for compressiblemiscible displacement with molecular diffusion and dispersion in porous media. A type of pointedge-element interpolation operator it is introduced. The interpolation function is applied toprove the optimal error estimates of a finite element scheme, which can not be obtained byclassical elliptic projection. |
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| Keywords: | Compressible displacement rectangular finite element method error estimates. |
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