| 多孔介质中不可压缩非溶混驱动问题之混合迎风有限元法的收敛性和最大值原理 |
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| 引用本文： | 哈什姆,胡健伟.多孔介质中不可压缩非溶混驱动问题之混合迎风有限元法的收敛性和最大值原理[J].南开大学学报,2003,36(4):31-37. |
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| 作者姓名： | 哈什姆 胡健伟 |
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| 作者单位： | 南开大学数学科学学院和教育部核心数学与组合数学实验室，南开大学数学科学学院和教育部核心数学与组合数学实验室 南开大学、天津大学联合研究院应用数学中心，南开大学，天津 300071 巴士拉大学数学系，巴士拉，伊拉克，南开大学、天津大学联合研究院应用数学中心，南开大学，天津 300071 |
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| 基金项目： | Suported by NNSF of China (10171052)，Cooperative Foun dation of Nankai university and Tianjin university supported by education ministry of state |
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| 摘 要： | 本文讨论多孔介质中不可压缩非溶驱动问题的微分方程组，压力和达西速度用混合有限元逼近，浓度方程则组合伽辽金有限元和迎风有限元法。在问题解具有某种正则性和弱锐型三角剖分假定下，证明数值解有离散最大值原理和收敛性。
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| 关 键 词： | 最大值原理 非溶混驱动 多孔介质 |
THE CONVERGENCE AND MAXIMUM PRINCIPLE OF THE MIXED-UPWIND FINITE ELEMENT METHODS FOR INCOMPRESSIBLE IMMISCIBLE DISPLACEMENT IN POROUS MEDIA |
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| Abstract.THE CONVERGENCE AND MAXIMUM PRINCIPLE OF THE MIXED-UPWIND FINITE ELEMENT METHODS FOR INCOMPRESSIBLE IMMISCIBLE DISPLACEMENT IN POROUS MEDIA[J].Acta Scientiarum Naturalium University Nankaiensis,2003,36(4):31-37. |
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| Authors: | Abstract |
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| Abstract: | A differential system describing incompressible immiscible displacement in porous medium is considered. The pressure and the Darcy velocity are approximated simultaneously by mixed finite element method and the saturation equation is approximated by a combination of Galerkin finite element method and upwind finite element method. Under the assumption that the exact solution possesses some regularity properties and the triangulations are of a weakly acute type, the discrete maximum principle and the convergence of the approximate solution are proved. |
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| Keywords: | maximum principle immiscible displacement i porous media |
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