杨旻老师

教授课程：　　-

研究方向：　　高性能算法；微分方程数值解；流体计算
杨旻

籍贯 江苏苏州, 教授, 硕士生导师

感兴趣的研究方向：数据分析与挖掘


教育经历

2000.9－2005.7 山东大学数学与系统科学学院，计算数学，博士

1996.9－2000.7 山东大学数学院，信息与计算科学，学士




工作经历

2006.7-至今烟台大学，数学与信息科学学院

2005.7-2006.6 厦门大学，数学学院

2012.12-2013.1 香港理工大学应用数学系 访问学者

2010.1-2010.2 香港理工大学应用数学系 访问学者

2009.6-2009.8 中科院科学与工程计算国家重点实验室 访问学者




基金项目

2016.1-2019.12 “两阶非线性椭圆问题有限元方法的自适应多重网格算法”，国家自然科学基金 (**)，2/7

2015.1-2017.12 “非线性椭圆问题有限体积元方法的后验误差估计和自适应算法”，山东省自然科学基金 (ZR2014AM003)，2/5

2013.1-2015.12 “油藏两相流的局部守恒型多域耦合数值方法及其分析”，国家自然科学青年基金（**)，主持

2010.11-2013.11 “非稳态Navier-Stokes问题基于算子分裂的无散度特征有限元方法”，山东省自然科学基金 (ZR2010AQ020)，主持

2010.6-2013.5 “界面问题的高精度有限体积元方法”，省教育厅高等学校科技计划(J10LA01)，主持

2009.6-2012.5 “非线性问题的几类数值方法的后验误差估计与自适应算法”，省教育厅高等学校科技计划(J09LA01)，参与




科研奖励

2010年，山东省高校优秀科研成果二等奖/烟台大学科技进步一等奖，“有限体积元方法的高性能算法及应用”，杨旻、毕春加、陈传军

2008年，山东省高校优秀科研成果三等奖/烟台大学科技进步一等奖，“有限体积元方法的理论分析及其应用”，毕春加、杨旻、陈传军。




论文目录

32、Lejuan Wang, Min Yang, A high order finite volume method for one dimensional nonlocal reactive flows of parabolic type, Math. Method. Appl. Sci., Doi: 10.1002/mma.3622, 2015.

31、Min Yang, Jiangguo Liu, Qingsong Zou, Unified analysis of higher order finite volume methods for parabolic problems on quadrilateral meshes, IMA J. Numer. Anal., doi: 10.1093/imanum/drv029

30、Yanping Lin, Min Yang, Qingsong Zou, L2 error estimates for a class of any order finite volume schemes over quadrilateral meshes, SIAM J. Numer. Anal., 53 (2015) 2030--2050

29、Min Yang, Jiangguo Liu, Yanping Lin, Pressure recovery for weakly over-penalized discontinuous Galerkin methods for the Stokes problem, J. Sci. Comput., 2015, 699-715.

28、Min Yang, Couplings of mixed finite element and weak Galerkin methods for elliptic problems, J. Appl. Math. Computing, 2015, 327-343.

27、Min Yang, Higher-order finite volume element methods based on Barlow points for one dimensional elliptic and parabolic problems, Numer. Methods PDEs, 2015, 977-994.

26、Min Yang, Jiangguo Liu, Yanping Lin, Quadratic finite volume methods for elliptic and parabolic problems on quadrilateral meshes: Optimal order errors based on Barlow points, IMA J. Numer. Anal. 33 (2013) 1342-1364.

25、Chunjia Bi, Yanping Lin, Min Yang, Finite volume element method for monotone nonlinear elliptic problems, Numer. Methods PDEs, 29 (2013), 1097-1120.

24、Yanping Lin, Jiangguo Liu, Min Yang, Finite volume element methods: An overview of recent developments, Int. J. Numer. Anal. Model. B, (2013) 14-34.

23、Min Yang, L2 error estimation of a quadratic finite volume element method for pseudo-parabolic equations in three spatial dimensions, Appl. Math. Comput. 218 (2012) 7270-7278.

22、Min Yang, Jiangguo Liu, A quadratic finite volume element method for parabolic problems on quadrilateral meshes, IMA J Numer. Anal. 31 (2011) 1038-1061.

21、Min Yang, A posteriori error analysis of nonconforming finite volume elements for general second order elliptic PDEs, Numer. Methods PDEs 27(2011) 277-291.

20、Min Yang, Two time level ADI finite volume method for a class of second order hyperbolic problems, Appl. Math. Comput. 215(2010) 3239-3248.

19、Min Yang, Chunjia Bi, Jiangguo Liu, Postprocessing of a finite volume element method for semilinear parabolic problems, ESAIM: Math. Model. Numer. Anal. (M2AN) 43(2009) 957-971.

18、Min Yang, Chuanjun Chen, ADI quadratic finite volume element methods for second order hyperbolic problems, J. Appl. Math. Computing 31(2009) 395-411.

17、Min Yang, Huailing Song, A postprocessing finite volume element method for time-dependent Stokes equations, Appl. Numer. Math. 59 (2009) 1922-1932.

16、Min Yang, Jiangguo Liu, Chuanjun Chen, Error estimation of a quadratic finite volume method on right quadrangular prism grids, J. Comput. Appl. Math. 229 (2009), 274-282.

15、Chuanjun Chen, Min Yang, Chunjia Bi, Two grid methods for finite volume element approximations of nonlinear parabolic equations, J. Comput. Appl. Math. 228 (2009) 123-132.

14、Min Yang, Yirang Yuan, A symmetric characteristic finite volume element scheme for nonlinear convection-diffusion problems. Acta Math. Appl. Sin. Engl. Ser. 24 (2008), no. 1, 41-54.

13、Min Yang, A multistep finite volume method with penalty for thermal convection problems in two or three dimensions. J. Syst. Sci. Complex. 21 (2008), no. 1, 129-143.

12、Min Yang, Analysis of second order finite volume element methods for pseudo-parabolic equations in three spatial dimensions. Appl. Math. Comput. 196 (2008), no. 1, 94-104.

11、Min Yang, Multistep finite volume approximations to the transient behavior of a semiconductor device on general 2D or 3D meshes. J. Comput. Math. 25 (2007), no. 4, 485-496.

10、Min Yang, Yirang Yuan, A symmetric characteristic FVE method with second order accuracy for nonlinear convection diffusion problems. J. Comput. Appl. Math. 200 (2007), no. 2, 677-700.

9、Min Yang, A second-order finite volume element method on quadrilateral meshes for elliptic equations. ESAIM: Math. Model. Numer. Anal. (M2AN) 40 (2006), no. 6, 1053-1067.

8、Min Yang, Yirang Yuan, Symmetric finite volume element methods along characteristics for 3-D convection diffusion problems. Far East J. Appl. Math. 25 (2006), no. 3, 225-251.

7、杨旻，袁益让，半正定两相驱动问题的多步有限体积方法及其理论分析，系统科学与数学，26(2006), 541-552.

6、杨旻，袁益让，非线性抛物型方程组的二次有限体积方法及其误差估计，应用数学学报，29(2006)，29-38.

5、杨旻，张进，对流扩散方程带罚函数项的有限体积格式及其分析，高等学校计算数学学报，28(2006), 26-32

4、Yang Min, Cubic finite volume methods for second order elliptic equations with variable coefficients, Northeast. Math. J. 21(2005), 146-152.

3、杨旻，非线性抛物型方程的二次元有限体积方法，高等学校计算数学学报，26(2004), 257-266.

2、杨旻，袁益让，非线性对流扩散方程沿特征线的多步有限体积格式， 计算数学，26(2004), 484-496.

1、杨旻, 非线性双曲型方程的广义差分方法及其误差估计, 山东大学学报(理学版), 38(2003), No.4,1-6.