| Hybrid Finite Element Method for Two-phase Miscible Displacement in Porous Media |
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| 作者单位： | Department of Mathematics，Shandong University，Jinan，250100 |
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| 摘 要： | ＨｙｂｒｉｄＦｉｎｉｔｅＥｌｅｍｅｎｔＭｅｔｈｏｄｆｏｒＴｗｏ┐ｐｈａｓｅＭｉｓｃｉｂｌｅＤｉｓｐｌａｃｅｍｅｎｔｉｎＰｏｒｏｕｓＭｅｄｉａ＊）ＬｉａｎｇＤｏｎｇ（梁栋）ＣｈｅｎｇＡｉｊｉｅ（程爱杰）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，...
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Hybrid Finite Element Method for Two phase Miscible Displacement in Porous Media |
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| Authors: | Liang Dong Cheng Aijie |
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| Abstract: | We study numerical method for two phase incompressible miscible displacement in a porous medium, which can be described as a nonlinear system coupled by concentration equation and pressure equation. The concentration equation is approximated by Galerkin method, while the pressure equation is treated by the primal hybrid finite element method. Both of continuous time scheme and time discretization procedure are established and analysed. Some priori error estimates are derived. |
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| Keywords: | Displacement in Porous Media Hybrid Finite Element Method Error Estimate |
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