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李劍

教授

李劍,男,寶雞文理學院,數學和信息科學學院,教授,中國計算數學學會理事。主要從事不可壓縮流高效穩定有限元及有限體積方法研究;流體/流體耦合問題;流體/固體耦合問題;重油新開採方法數值分析研究。

學習經歷


1995/9-1999/7攻讀寶雞文理學院數學系學士學位
2001/7-2004/7攻讀西安交通大學計算數學碩士學位
2004/7-2007/12攻讀西安交通大學計算數學博士學位
2006/9-2006/12北京大學數學科學學院量子力學講習班
2007/7-2007/9北京大學工學院油藏模擬講習班
2009/1-2009/3加拿大CMG公司培訓

部分代表作


Xiaoming He, Jian Li, Yanping Lin, JuMing, A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition, SIAM Journal on Scientific Computing, 37(2015), 264-290.
三維定常Navier-Stokes方程有限元/有限體積方法非奇異解束L∞優化階分析研究 李劍,陳掌星,中國科學 45(7), 2015.
Jian Li, Zhangxin Chen, OptimalL2, H1 and L∞ Analysis of Finite Volume Methods for the Stationary Navier-Stokes Equations with Large Data, Numerische Mathematik, 126(2014): 75–101
Jian Li, Zhangxin Chen and Yinnian He, A Stabilized Multi-Level Method for Nonsingular Finite Volume Solutions of the Stationary 3D Navier-Stokes Equations, Numerische Mathematik, 122(2012): 279-304.
Jian Li and Zhangxin Chen, On the semi-discrete stabilized finite volume method for the transient Navier–Stokes equations, Advanced in Computational Mathematics, 38(2013): 281-320.
Zhangxin Chen, Zhen Wang, LipingZhu, JianLi, Analysis of the pressure projection stabilization method for the Darcy and coupled Darcy–Stokes flows, Computational Geosciences 17(2013), 1079-1091.
Yinnian He and Jian Li(通訊作者), Numerical comparisons of time–space iterative method and spatial iterative methods for the stationary Navier– Stokes equations, Journal of Computational Physics, 231(2012): 6790–6800.
Jian Li, Liquan Mei, and Zhangxin Chen, Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh L2 projection, Numerical Methods for Partial Differential Equations, 28(2012): 115-126.
Jian Li, Jianhua Wu, and Yinnian He, A Local Superconvergence Analysis of the Finite Element Methods for the Stokes Equations by Local Projections, Nonlinear Analysis TMA, 74 (2011): 6499-6511.
Yinnian He and Jian Li, Numerical Implementation of Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations, International Journal for Numerical Methods in Fluids, 62 (2010): 647-659.
Jian Li and Zhangxin Chen, A New Stabilized Finite Volume Method for the Stationary Stokes Equations, Advanced in Computational Mathematics, 30(2009): 141-152.
Yinnian He and Jian Li, Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineerin, 198(2009): 1351-1359.
Jian Li, Junping Wang, and Xiu Ye, Superconvergence by L2 projections for stabilized finite element methods for the Stokes equations, International Journal of Numerical analysis and Modeling, 6(2009): 711-723.
Jian Li and Yinnian He, A Stabilized Finite Element Method Based on Two Local Gauss Integrations for the Stokes Equations, Journal of Computational and Applied Mathematics, 214(2008): 58-65.(名列近十年全球ESI高引用率論文榜)
Yinnian He and Jian Li(通訊作者), A Stabilized Finite Element Method Based on Local Polynomial Pressure Projection for the Stationary Navier Stokes Equations, Applied Numerical Mathematics, 58 (2008): 1503-1514 (名列近十年全球ESI高引用率論文榜)
Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li. Local and Parallel Finite Element Algorithms for the Stokes Problem, NumerischeMathematik, 109(2008): 415-434.
Jian Li, Yinnian He and Hui Xu, A Multi-Level Stabilized Finite Element Method for the Stationary Navier-StokeEquations, Computer Methods in Applied Mechanics and Engineering, 196(2007): 2852-2862.
Jian Li, Yinnian He and Zhangxin Chen, A New Stabilized Finite Element Method for the Transient Navier-Stokes Equations, Computer Methods in Applied Mechanics and Engineering, 197(2007):22-35.