| A FINITE ELEMENT COLLOCATION METHOD FOR TWO-PHASE INCOMPRESSIBLE IMMISCIBLE PROBLEMS |
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| 作者姓名： | 马宁 |
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| 作者单位： | Department of |
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| 基金项目： | 国家自然科学基金，教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | Two-phase,incompressible,immiscible flow in porous media is governed by a coupled system of nonlinear partial differential equations.The pressure equation is elliptic, whereas the concentration equation is parabolic,and both are treated by the collocation scheme.Existence and uniqueness of solutions of the algorithm are proved.A optimal convergence analysis is given for the method.
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| 关 键 词： | 有限元 搭配方案 错误估计 压力方程 |
| 收稿时间： | 9 January 2005. |
| 修稿时间： | 2005-01-09 |
A finite element collocation method for two-phase incompressible immiscible problems |
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| Ma Ning,.A FINITE ELEMENT COLLOCATION METHOD FOR TWO-PHASE INCOMPRESSIBLE IMMISCIBLE PROBLEMS[J].Acta Mathematica Scientia,2007,27(4):875-885. |
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| Authors: | Ma Ning |
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| Institution: | Department of Mathematics and Physics, China University of Petroleum, Beijing 102259, China |
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| Abstract: | Two-phase, incompressible, immiscible flow in porous media is governed by a coupled system of nonlinear partial differential equations. The pressure equation is elliptic,whereas the concentration equation is parabolic, and both are treated by the collocation scheme. Existence and uniqueness of solutions of the algorithm are proved. A optimal convergence analysis is given for the method. |
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| Keywords: | Incompressible immiscible collocation scheme error estimate |
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