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完全可压缩两相渗流的特征线修正混合元方法
引用本文:程爱杰. 完全可压缩两相渗流的特征线修正混合元方法[J]. 山东大学学报(理学版), 1996, 0(3)
作者姓名:程爱杰
作者单位:Dept. of Math.,Shandong Univ .,Jinan
摘    要:研究多孔介质中可压缩渗流问题数值算法,压力方程用混合元方法,饱合度方程用沿特征线修正的有限元方法,构造了全离散数值计算格式,证明了最优H1模误差估计.

关 键 词:完全可压缩流体;混合元;特征线修正方法;有限元;误差分析

NUMERICAL METHOD OF MIXED FINITE ELEMENT AND MODIFIED METHOD OF CHARACTERISTICS FOR COMPLETELY COMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA
Cheng Aijie. NUMERICAL METHOD OF MIXED FINITE ELEMENT AND MODIFIED METHOD OF CHARACTERISTICS FOR COMPLETELY COMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA[J]. Journal of Shandong University, 1996, 0(3)
Authors:Cheng Aijie
Abstract:A numerical method is established for completely compressible miscible displacement in porous media. The pressure equation is discreted by mixed finite element,whilethe saturation equation is solved by finite element method combining with the modifiedmethod of characteristics. Optimal error estimate in HI norm is proved.
Keywords:completely compressible displacement  mixed finite element method  characteristics  finite element method  error estimate
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