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Two‐grid method for miscible displacement problem with dispersion by finite element method of characteristics
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-09-15 , DOI: 10.1002/zamm.201900275 Yanping Chen 1 , Hanzhang Hu 2
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-09-15 , DOI: 10.1002/zamm.201900275 Yanping Chen 1 , Hanzhang Hu 2
Affiliation
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A combined method consisting of the mixed finite element method for the pressure equation and finite element method with characteristics for the concentration equation is proposed to solve the coupled system of incompressible two‐phase flow in porous media. Two‐grid algorithm based on the Newton iteration method is developed and analyzed for the nonlinear coupled system. It is shown, both theoretically and numerically, that our schemes are efficient and achieve asymptotically optimal accuracy as long as the mesh sizes satisfy .
中文翻译：
特征有限元法求解离散的两网格混溶位移问题
为了解决多孔介质中不可压缩的两相流耦合系统，提出了一种压力方程混合有限元法和浓度方程具有有限元法的组合方法。针对牛顿耦合系统，开发并分析了基于牛顿迭代法的二重网格算法。从理论上和数值上都表明，只要网格尺寸满足要求，我们的方案是有效的，并且可以渐近地达到最佳精度。。
更新日期：2020-09-15
中文翻译：
特征有限元法求解离散的两网格混溶位移问题
为了解决多孔介质中不可压缩的两相流耦合系统，提出了一种压力方程混合有限元法和浓度方程具有有限元法的组合方法。针对牛顿耦合系统，开发并分析了基于牛顿迭代法的二重网格算法。从理论上和数值上都表明，只要网格尺寸满足要求，我们的方案是有效的，并且可以渐近地达到最佳精度。。
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