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International Journal of Computer Mathematics Volume 93, 2016 - Issue 7
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Local and parallel finite element methods for the mixed Navier–Stokes/Darcy model

Guangzhi DuSchool of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi710049, China
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Yanren HouSchool of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi710049, ChinaCorrespondence[email protected]
&
Liyun ZuoSchool of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi710049, China;Center for Computational Geosciences, Xi'an Jiaotong University, Xi'an, Shaanxi710049, China
Pages 1155-1172 | Received 07 Jun 2014, Accepted 26 Jan 2015, Published online: 11 Apr 2015

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Bo Zheng, Kangrui Zhou & Yueqiang Shang. (2020) Parallel pressure projection stabilized finite element algorithms based on two-grid discretizations for incompressible flows. International Journal of Computer Mathematics 97:8, pages 1563-1585.
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Articles from other publishers (15)

Xinhui Wang & Guangzhi Du. (2022) Local and parallel stabilized finite element methods based on two-grid discretizations for the Stokes equations. Numerical Algorithms 93:1, pages 67-83.
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Eric Ngondiep. (2022) Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank–Nicolson method for evolutionary mixed Stokes-Darcy model. Journal of Computational and Applied Mathematics 409, pages 114148.
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Umer Saleem, Marius Dewar, Tariq Nawaz Chaudhary, Mehroz Sana, Anna Lichtschlag, Guttorm Alendal & Baixin Chen. (2021) Numerical modelling of CO2 migration in heterogeneous sediments and leakage scenario for STEMM-CCS field experiments. International Journal of Greenhouse Gas Control 109, pages 103339.
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Bo Zheng & Yueqiang Shang. (2020) Parallel iterative stabilized finite element methods based on the quadratic equal-order elements for incompressible flows. Calcolo 57:4.
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Dandan Xue & Yanren Hou. (2020) Numerical analysis of a second order algorithm for a non-stationary Navier–Stokes/Darcy model. Journal of Computational and Applied Mathematics 369, pages 112579.
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Guangzhi Du. (2020) Expandable Parallel Finite Element Methods for Linear Elliptic Problems. Acta Mathematica Scientia 40:2, pages 572-588.
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Bo Zheng & Yueqiang Shang. (2019) Parallel iterative stabilized finite element algorithms based on the lowest equal-order elements for the stationary Navier–Stokes equations. Applied Mathematics and Computation 357, pages 35-56.
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Guangzhi Du & Liyun Zuo. (2018) A two-grid parallel partition of unity finite element scheme. Numerical Algorithms 80:2, pages 429-445.
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Xiaojing Dong, Yinnian He, Hongbo Wei & Yuhong Zhang. (2017) Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow. Advances in Computational Mathematics 44:4, pages 1295-1319.
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Liyun Zuo & Guangzhi Du. (2018) A multi-grid technique for coupling fluid flow with porous media flow. Computers & Mathematics with Applications 75:11, pages 4012-4021.
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Guangzhi Du & Liyun Zuo. (2017) A Parallel Partition of Unity Scheme Based on Two-Grid Discretizations for the Navier–Stokes Problem. Journal of Scientific Computing 75:3, pages 1445-1462.
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Liyun Zuo & Guangzhi Du. (2017) A Multi-grid Decoupling Method for the Coupled Fluid Flow with the Porous Media Flow. Journal of Mathematical Fluid Mechanics 20:2, pages 683-695.
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Guangzhi DU & Liyun ZUO. (2017) Local and parallel finite element method for the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions. Acta Mathematica Scientia 37:5, pages 1331-1347.
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Guangzhi Du & Liyun Zuo. (2017) A parallel partition of unity method for the nonstationary Navier-Stokes equations. International Journal of Numerical Methods for Heat & Fluid Flow 27:8, pages 1675-1686.
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Guangzhi Du & Liyun Zuo. (2017) Local and parallel finite element post-processing scheme for the Stokes problem. Computers & Mathematics with Applications 73:1, pages 129-140.
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