| 独立亲同调子图 |
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| 引用本文： | 许宝刚. 独立亲同调子图[J]. 山东大学学报(理学版), 1997, 0(2) |
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| 作者姓名： | 许宝刚 |
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| 作者单位： | 山东大学数学研究所 |
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| 基金项目： | 国家教委博士点基金,山东大学跨世纪人才基金 |
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| 摘 要： | 设Ｋ是一个复形，Ｌ是Ｋ的一个子复形．如果所有从Ｌ的同调群到Ｋ的同调群的包含同态ｉ＊：Ｈｑ（Ｌ，Ｊ）→Ｈｑ（Ｋ，Ｊ）（ｑ≥０，Ｊ是整数群）都是同构，则称复形Ｋ同它的子复形Ｌ亲同调．对一个图Ｇ及其去边子图Ｆ，如果Ｆ的独立集复形Ｉ（Ｆ）与Ｇ的独立集复形Ｉ（Ｇ）亲同调，则称图Ｇ与其子图Ｆ独立亲同调．证明了一个非联图简单图Ｇ与其去边子图Ｆ独立亲同调的充分必要条件是Ｈｑ（Ｉ（Ｆ），Ｉ（Ｇ）；Ｊ）＝０（ｑ≥０），还讨论了图Ｇ与其去边主子图独立亲同调的条件．
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| 关 键 词： | 图；独立集；相对同调群 |
THE LUMPED MASS FINITE ELEMENT METHOD FOR MISCIBLE DISPLACEMENT PROBLEM IN POROUS MEDIA |
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| Liu Baodong. THE LUMPED MASS FINITE ELEMENT METHOD FOR MISCIBLE DISPLACEMENT PROBLEM IN POROUS MEDIA[J]. Journal of Shandong University, 1997, 0(2) |
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| Authors: | Liu Baodong |
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| Abstract: | The miscible displacement of one incompressible fluid by another can be described as coupled problems of two quasilinear equations for pressure p(x,t) and concentration c(x,t) .One for pressure is a parabolic problem,the other for concentration is a convection-diffusion problem.A lumped mass finite element method for numerical approximation is given for concentration equation,and a Galerkin finite element method is given for pressure.Estimates for both continuous time and fullydiscrete time of coupled lumped mass and Galerkin Methods are presented. |
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| Keywords: | concentration lumped mass finite element error estimation |
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