◎研究方向 1.偏微分方程数值解:有限元方法、混合元方法、间断有限元方法、二重网格方法 2.区域分解并行计算 ◎学习与工作经历 1999.9-2003.7,山东大学,理学学士; 2003.9-2008.7,山东大学,理学博士; 2008.7-20012.12,必赢线路检测3003(华东),应用数学系,讲师; 2010.1-2010.2 澳大利亚西澳大学(UWA),访问学者; 2014.9-2015.8 巴西国家科学计算实验室(LNCC ),访问学者; 2013.1至今,必赢线路检测3003(华东),应用数学系,副教授。
◎主讲课程 1.主讲本科生必修课:《微分方程数值解法》、《数值计算方法》、《数学物理方程》、《概率论与数理统计》、《计算方法》、《线性代数》、《分析与代数选讲》等课程 2.主讲研究生:《数理方程》、《高等数值分析》、《有限元方法》等课程
◎指导研究生 累计指导硕士研究生10名:
毕业研究生:张月芝(2015)刘兆辉(2016)沈小忙(2017)韩慧冉(2018)朱 晨(2018) 在读研究生:于 云(2019)张秉印(2019)姬冰洁(2020)于 悦(2020)秦 荣(2021)
◎承担和参与项目 1.近年来,主持的代表性科研项目: (1)海水入侵问题的并行子空间校正算法研,国家自然科学基金青年项目,2014-2017; (2)多孔介质流的一类新型区域分解并行算法,国家自然科学基金数学天元青年项目,2012-2012; (3)海水入侵问题的若干新型数值算法研究,山东省自然科学基金青年项目,2014-2017; (4)多孔介质中渗流驱动问题的一类保结构数值算法研究,山东省自然科学基金面上项目,2019-2022; (5)油藏数值模拟中渗流驱动问题的质量守恒数值算法研究,中央高校基础研究专项基金,2017-2019; (6)多孔介质流的一类新型并行算法研究,中央高校基础研究专项基金,2011-2013。 2.近年来,参与的代表性科研项目: (1)参数识别与最优控制问题驱动的分数阶微分方程的高效数值方法研究,国家自然科学基金面上项目,2020-2023; (2)变形介质油藏数值模拟中的间断有限元方法研究,国家自然科学基金面上项目,2016-2019; (3)受时变对流扩散方程约束的最优控制问题的SUPG方法研究,国家自然科学基金青年项目,2013-2015; (4)太阳能聚光集热与多蒸发器环路热管传输方法,国家自然科学基金青年项目,2013-2015; (5)油水资源渗流驱动问题新型算法研究,国家自然科学基金青年项目,2012-2014; (6)时空分数阶波动方程的高效快速差分算法研究及其应用,山东省自然科学基金面上项目,2017-2020; (7)能源数值模拟问题中最优控制问题的最小二乘混合元方法研究,山东省优秀中青年科学家科研奖励基金项目,2013-2015; (8)油藏数值模拟中的新型算法研究,山东省自然科学基金联合专项,2011-2013。
◎获奖情况(除教师个人获奖之外,还包含指导学生获奖情况) 1. 油藏数值模拟中多孔介质流的若干新型算法研究. 山东高等学校优秀科研成果奖三等奖,厅局级(政府类),2012,排名第1; 2.线性系统高效算法及其在机器学习中的应用.山东高等学校优秀科研成果奖二等奖,厅局级,2013,排名第4; 3. 油藏数值模拟中多孔介质流的若干新型算法研究.青岛经济技术开发区科学技术奖三等奖,厅局级(政府类),2013,排名第2; 4. 美国大学生数学建模竞赛特等奖提名(2020 Mathematical Contest in Modeling-Finalisit,Problem C). 国家级,2020,指导教师; 5. “全国大学生数学建模竞赛”山东省一等奖,省部级,指导教师。
◎荣誉称号(除教师个人获得荣誉之外,还包括指导学生获得荣誉情况) 1.必赢线路检测3003(华东) “优秀教师”,2013年; 2.必赢线路检测3003(华东)2018-2019年度“优秀班主任”,2019年; 3.必赢线路检测3003(华东)2013-2014年度“优秀青年工作者”,2014年; 4.必赢线路检测3003(华东)2012-2013年度“优秀班主任”,2013年; 5.必赢线路检测3003(华东)大学生课外科技活动“优秀指导教师”,2011年。
◎论文 1.第一作者主要论文: (1)Zhang, Jiansong; Yu Yun; Ji Bingjie ; Yu Yue. Numerical analysis of incompressible wormhole propagation with mass-preserving characteristic mixed finite element procedure, Numerical Algorithms, 2021, online. (2)Zhang, Jiansong; Han, huiran; Yu, Yun; Liu, Jun. A new two-grid mixed finite element analysis of semi-linear reaction-diffusion equation, Computers and Mathematics with Applications, 92 (2021) 172-179. (3)Zhang, Jiansong; Han, Huiran. A new discontinuous Galerkin mixed finite element method for compressible miscible displacement problem, Computers and Mathematics with Applications, 80(2020),1714-1725. (4)Zhang, Jiansong; Han, Huiran; Guo, Hui; Shen, Xiaomang. A combined hybrid mixed element method for incompressible miscible displacement problem with local discontinuous Galerkin procedure,Numerical Methods Partial Differential Eq. 36(2020), 1629-647. (5)Zhang, Jiansong; Shen, Xiaomang; Guo, Hui; Fu, Hongfei. Characteristic splitting mixed finite element analysis of compressible wormhole propagation, Applied Numerical Mathematics,147 (2020) 66-87. (6)Zhang, Jiansong; Zhang, Yuezhi; Guo, Hui; Fu, Hongfei. A mass-conservative characteristic splitting mixed finite element method for convection-dominated Sobolev equation,Mathematics and Computers in Simulation, 160 (2019) 180-191. (7)Zhang, Jiansong. A new combined characteristic mixed finite element method for compressible miscible displacement problem, Numerical Algorithms , 81 (2019) 1157-1179. (8)Zhang, Jiansong; Zhang, Yuezhi. A hybrid mixed finite element method for miscible displacement problem with MCC procedure,Applied Mathematics and Computation, 346 (2019) 143-154. (9)Zhang, Jiansong; Liu, Zhaohui; Yang, Danping; Zhu, Jiang. Parallel split least-squares mixed finite element method for parabolic problem. Numerical Methods Partial Differential Equations 34:4(2018), 1282-1300. (10)Zhang, Jiansong; Yang, Danping; Zhu, Jiang. Parallel characteristic mixed element method for saltwater intrusion problem. J. Comput. Appl. Math. 336 (2018), 160–174. (11)Zhang, Jiansong; Zhang, Yuezhi; Liu, Zhaohui. A mass-conservative characteristic splitting mixed element method for saltwater intrusion problem. J. Nonlinear Sci. Appl. 10 (2017), no. 11, 6102–6118. (12)Zhang, Jiansong; Yang, Danping; Guo, Hui; Qu, Yan. Parallel algorithm combined with mixed element procedure for compressible miscible displacement problem. Numer. Algorithms 76 (2017), no. 4, 993–1019. (13)Zhang, Jiansong; Yang, Danping. Parallel splitting positive definite mixed element method for parabolic problem. Int. J. Comput. Methods 14 (2017), no. 6, 1750061. (14)Zhang, Jiansong; Zhu, Jiang; Yang, Danping. A combined discontinuous Galerkin method for saltwater intrusion problem with splitting mixed procedure. Adv. Appl. Math. Mech. 9 (2017), no. 3, 651–666. (15)Zhang, Jiansong; Zhu, Jiang; Zhang, Rongpei; Yang, Danping; Loula, Abimael F.D. A combined discontinuous Galerkin finite element method for miscible displacement problem. J. Comput. Appl. Math. 309 (2017), 44–55. (16)Zhang, Jiansong; Vargas, Hector; Zhu, Jiang; Oliveira, Eduardo Lima. Analysis of Discontinuous Galerkin Method of Nonlinear Problems, XXXVIII Iberian-Latin American Congress on Computational Methods in Engineering, R.H. Lopez, L.F.F. Miguel, P.O. Farias (Editor), ABMEC, Florianpolis, SC, Brazil, November 5-8, 2017. (17)Zhang, Jiansong; Zhu, Jiang; Yang, Danping; Guo, Hui. A characteristic splitting mixed finite element method for three-dimensional saltwater intrusion problem. J. Nonlinear Sci. Appl. 9 (2016), no. 11, 5806–5820. (18)Zhang, Jiansong; Guo, Hui; Fu, Hongfe; Chang, Yanzhen. Parallel algorithm for convection–diffusion system based on least‑squares procedure, SpringerPlus, (2016) 5:1690. (19)张建松,张月芝, 朱江,羊丹平, 对流占优扩散方程的分裂特征混合有限元方法,高校应用数学学, 31:3 (2016) 338-350. (20)Zhang, Jiansong; Zhu, Jiang; Zhang, Rongpei. Characteristic splitting mixed finite element analysis of Keller-Segel chemotaxis models. Appl. Math. Comput. 278 (2016), 33–44. (21)Zhang, Jiansong; Fu, Hongfei; Guo, Hui. A new parallel subspace correction method for advection-diffusion equation. J. Appl. Math. Comput. 50 (2016), no. 1-2, 299–314. (22)Zhang, Jiansong; Yang, Danping. A new domain decomposition parallel algorithm for convection-diffusion problem. Math. Model. Anal. 19 (2014), no. 4, 589–605. (23)Zhang, Jiansong; Yang, Danping; Shen, Shuqian; Zhu, Jiang. A new MMOCAA-MFE method for compressible miscible displacement in porous media. Appl. Numer. Math. 80 (2014), 65–80. (24)Zhang, Jiansong; Zhu, Jiang; Yu, Xijun; Loula, Abimael F. D.; Bevilacqua, Luiz. Mixed finite element analysis of thermally coupled quasi-Newtonian flows. Int. J. Numer. Anal. Model. Ser. B 4 (2013), no. 1, 35–49. (25)张建松,朱江,郭会,付红斐. 对流扩散反应方程的特征分裂最小二乘方法,高等学校计算数学学报, 34:4(2012)289-299. (26)Zhang, Jiansong; Guo, Hui. A split least-squares characteristic mixed element method for nonlinear nonstationary convection-diffusion problem. Int. J. Comput. Math. 89 (2012), no. 7, 932–943. (27)张建松,牛海峰. 多孔介质中可压缩混溶驱动问题的新型流线扩散混合元方法,山东大学学报(理学版)46:12 (2011) 6-12. (28)Zhang, Jiansong; Yang, Dan-ping; Zhu, Jiang. Two new least-squares mixed finite element procedures for convection-dominated Sobolev equations. Appl. Math. J. Chinese Univ. Ser. B 26 (2011), no. 4, 401–411. (29)Zhang, Jiansong; Yang, Danping; Fu, Hongfei; Guo, Hui. Parallel characteristic finite element method for time-dependent convection-diffusion problem. Numer. Linear Algebra Appl. 18 (2011), no. 4, 695–705. (30)Zhang, Jiansong; Yang, Danping. Parallel characteristic finite difference method for convection-diffusion equations. Numer. Methods Partial Differential Equations 27 (2011), no. 4, 854–866. (31)Zhang, Jiansong; Yang, Danping. Parallel least-squares finite element method for time-dependent convection-diffusion system. Computing 91 (2011), no. 3, 217–240. (32)Zhang, Jiansong; Zhu, Jiang; Yang, Danping; Yu, Xijun. Finite element analysis of semiconductor device equations with heat effect. Int. J. Numer. Anal. Model. Ser. B 1 (2010), no. 2, 197–216. (33)张建松,Sobolev方程的最小二乘混合元方法,工程数学学报,26:4 (2009) 749–752. (34)Zhang, Jiansong; Yang, Danping. A splitting positive definite mixed element method for second-order hyperbolic equations. Numer. Methods Partial Differential Equations 25 (2009), no. 3, 622–636. (35)张建松,羊丹平. 混合边界条件下电热问题的数值分析,山东大学学报(理学版),42:8(2007) 1-8. (36)张建松,羊丹平. 多孔介质中相容驱动问题的全离散分裂正定混合元分析,山东大学学报(理学版),41:1(2006)1-10. 2.第二作者(通讯作者)主要论文: (1)Ji, Bingjie, Zhang, Jiansong, Yu, Yun, Liu, Jun, Guo, Hui. A new family of expanded mixed finite element methods for reaction-diffusion equations, Journal of Applied Mathematics and Computing, 2021, online. (2)Jiang, Maosheng; Zhang, Jiansong; Zhu, Jiang; Yu, Xijun; Bevilacqua, Luiz. Numerical simulation for clustering and pattern formation in active colloids with mass-preserving characteristic finite element method,Computer Methods in Applied Mechanics and Engineering, 381(2021), 113806. (3)Jiang, Maosheng; Zhang, Jiansong; Zhu, Jiang; Yu, Xijun; Bevilacqua, Luiz. Characteristic finite element analysis of pattern formation dynamical model in polymerizing actin flocks, Applied Mathematics Letters, 98 (2019) 224-232. (4)Zhang, Yuezhi; Zhang, Jiansong. The splitting mixed element method for parabolic equation and its application in chemotaxis model. Appl. Math. Comput. 313 (2017), 287–300. (5)Niu, Haifeng;Zhang, Jiansong; Zhang, Liuwei; Tian,Yanwei. Numerical analysis of the elliptic optimal control problem with Lp-norm state constraints, International Conference on Intelligent Control and Computer Application (ICCA) 2016, pp.213-216. (6)Zhu, Jiang; Zhang, Jiansong; Loula, Abimael F. D.; Bevilacqua, Luiz. Mixed variational formulation and numerical analysis of thermally coupled nonlinear Darcy flows. SIAM J. Numer. Anal. 51 (2013), no. 5, 2746–2772. (7)Guo, Hui; Zhang, Jiansong. Two splitting positive definite mixed element methods for pseudo-parabolic equations. Math. Appl. (Wuhan) 26 (2013), no. 1, 155–164. (8)Guo, Hui; Zhang, Jiansong; Fu, Hongfei. Two splitting positive definite mixed finite element methods for parabolic integro-differential equations. Appl. Math. Comput. 218 (2012), no. 22, 11255–11268. (9)Li, Gang; Zhang, Jiansong; Zhu, Jiang; Yang, Danping. On vector Helmholtz equation with a coupling boundary condition, Numer. Math. J. Chinese Univ. (English Ser.), 16:4 (2007), 358–369. |