v 基本情况介绍 本硕博就读于山东大学数学学院，现任应用数学交叉博士点博士生导师，长期致力于微分方程数值算法研究。累计发表科研论文70余篇，主持国家重点研发计划子课题，国家自然科学基金数学天元项目、青年基金项目，山东省自然科学基金青年项目、面上项目等。荣获青岛市自然科学奖二等奖、山东省高校优秀成果奖二、三等奖及青岛市经济开发区科学技术奖三等奖。 v 研究方向 微分方程数值解、区域分解并行计算，涉及渗流驱动问题、非线性热耦合问题、相场模型问题、随机微分方程等 v 教育经历 2003.09-2008.07，山东大学，理学博士 1999.09-2003.07，山东大学，理学学士 v 工作学术经历 2008.07-至今，中国石油大学（华东），讲师、副教授、教授 2014.09-2015.08，巴西国家科学计算实验室（LNCC ），访问学者 2009.01-2009.02，澳大利亚西澳大学（UWA），访问学者 v 学术兼职 中国高等教育学会--教育数学专业委员会理事 中国工业与应用数学学会--不确定量化专业委员会委员 教育部学位论文评议专家 《中国理论数学前沿》编委 Mathematical Reviews评议员 v 主讲课程 数值计算方法、微分方程数值解、数学物理方程、概率论与数理统计、有限元方法、现代数值分析等 v 指导研究生 在读博士研究生 徐学淼（2025级） 在读硕士研究生 孟岩（2026级）彭颖姿（2026级）贺邵津（2025级）王一鸣（2024级） 已毕业硕士 刘燕宇（2023级）郭新新（2022级）秦 荣（2021级）于 悦（2020级）姬冰洁（2020级） 于 云（2019级）张秉印（2019级）韩慧冉（2018级）朱 晨（2018级）沈小忙（2017级） 刘兆辉（2016级）张月芝（2015级）
v 承担项目 1．中央高校基础研究基金项目, 油藏数值模拟中虫洞问题的高效高精度数值模拟，主持，2026-2027 2．黑土区面源污染过程多尺度动态模型的高精度高效计算，国家重点研发计划子课题，主持，2023-2028 3．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，主持，2014-2017 4．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，主持，2012-2012 5．酸蚀蚓孔问题的新型杂交间断混合有限元算法研究，山东省自然科学基金面上项目，主持，2024-2026 6．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，主持，2019-2022 7．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，主持，2014-2017 8．酸蚀蚓孔问题的新型保结构数值算法研究，中央高校基础研究基金项目，主持，2022-2024 9．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，主持，2017-2019 10．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，主持，2011-2013 v 获奖情况 1. 校“优秀党员”、“优秀教师”、“优秀班主任”、“优秀青年工作者”等 2. 多孔介质渗流驱动问题的高效高精度数值算法及其应用，青岛市自然科学奖二等奖，2025 3. 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 4. 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 5. 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 v 发表论文 [73.] Liu Yanyu; Zhang, Jiansong*. A novel expanded mixed finite element method for hyperbolic equations, Numerical Algorithms, in press, 2026. [72.] Zhang, Jiansong*；Zhu Jiang; Guo Hui; Wang Yiming; Liu Yanyu. Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method. Computers Mathematics with Applications 216 (2026) 129-146. [71.] Zhang, Jiansong*； Zhu, Jiang； Zhang, Rongpei. Corrigendum to Characteristic splitting mixed finite element analysis of Keller-Segel chemotaxis models`` [Appl. Math. Compt. 278 (2016) 33-44]. Applied Mathematics and Computation 521 (2026) 129995. [70.] Fu, Kai； Liu Zhaohui；Zhang, Jiansong*. The second-order mass-conservative characteristic finite difference method for Sobolev equation with convection term. Advances in Applied Mathematics and Mechanics 18:3 (2026) 947-960. [69.] Zhang, Jiansong*, Liu, Yanyu. Two-grid mixed finite element analysis of semi-linear second order hyperbolic problem. Computers & Mathematics with Applications 189 (2025) 70-85. [68.] Liu, Jun；Fu, Hongfei*；Zhang, Bingyin；Zhang, Jiansong. Analysis and efficient implementation of quadratic spline collocation ADI methods for variable-order time-fractional mobile-immobile diffusion equations. Numerical Mathematics: Theory, Methods and Applications 18:1 (2025) 226-258. [67.] Qin, Rong；Zhang, Jiansong*；Guo, Xinxin；Guo, Hui；Zhu, Jiang. Hybrid mixed discontinuous Galerkin finite element analysis of time-dependent convection–diffusion equations and its application in chemotaxis model. Journal of Computational and Applied Mathematics 465 (2025) 116570. [66.] Zhang, Jiansong*; Gao, Liping*；Kong, Yuanshuo；Wang, Mei；Yang, Guanqi. A new splitting mixed finite element analysis of the viscoelastic wave equation. Numerical Algorithms 99 (2025) 229-249. [65.] Zhang, Jiansong；Guo, Xinxin；Jiang, Maosheng；Zhou, Tao；Zhao, Jia*. Linear relaxation method with regularized energy reformulation for phase field models. Journal of Computational Physics 515 (2024) 113225. [64.] Zhang, Jiansong*；Yu, Yun；Zhu, Jiang；Jiang, Maosheng. Hybrid mixed discontinuous Galerkin finite element method for incompressible miscible displacement problem. Applied Numerical Mathematics 198 (2024) 122-137. [63.] Zhang, Jiansong*； Yu, Yue； Qin, Rong； Liu, Zhaohui. A mass-preserving characteristic finite difference method for miscible displacement problem. Advances in Applied Mathematics and Mechanics 16 (2024) 164-180. [62.] Wang, Hui；Guo, Hui；Zhang, Jiansong；Tian, Lulu*. Local discontinuous Galerkin methods with decoupled implicit-explicit time marching for the growth-mediated autochemotactic pattern formation model. Advances in Applied Mathematics and Mechanics 16 (2024) 208-236. [61.] Yu, Yue；Zhang, Jiansong*；Qin, Rong. A new second-order stabilized semi-implicit finite element method for Cahn-Hilliard equation. Applied Mathematics A Journal of Chinese Universities, Series A 38:3 (2023) 305-316. [60.] Zhang, Jiansong；Zhu, Jiang *；Hector, Vargas；Jiang, Maosheng. A hybrid mixed finite element method for convection-diffusion-reaction equation with local exponential fitting technique. Applied Numerical Mathematics 189 (2023) 23-38. [59.] Zhang, Jiansong*；Qin, Rong；Yu, Yun；Zhu, Jiang；Yu, Yue. Hybrid mixed discontinuous Galerkin finite element method for incompressible wormhole propagation problem. Computers & Mathematics with Applications 138 (2023) 23-36. [58.] Yu, Yue；Zhang, Jiansong*；Qin, Rong. The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models. Journal of Scientific Computing 94 (2023) 33. [57.] Ji, Bingjie；Zhang, Jiansong*；Yu, Yue；Yu, Yun. A new expanded mixed finite element method for Kirchhoff type parabolic equation. Numerical Algorithms 92 (2023) 2405-2432. [56.] Zhang, Bingyin；Fu, Hongfei*；Liang, Xueting；Liu, Jun；Zhang, Jiansong. An efficient second-order finite volume adi method for nonlinear three-dimensional space-fractional reaction-diffusion equations. Advances in Applied Mathematics and Mechanics 14:6 (2022) 1400-1432. [55.] Ji, Bingjie；Zhang, Jiansong*；Yu, Yue；Liu, Jun；Guo, Hui. A new family of expanded mixed finite element methods for reaction-diffusion equations. Journal of Applied Mathematics and Computing 68 (2022) 2857-2875. [54.] Han, Huiran；Zhang, Jiansong*；Ji, Bingjie；Yu,Yue；Yu, Yun. A new symmetric mixed element method for semi-linear parabolic problem based on two-grid discretization. Computers & Mathematics with Applications 108:15 (2022) 206-215. [53.] Zhang, Jiansong*；Yu, Yun；Ji, Bingjie；Yu, Yue. Numerical analysis of incompressible wormhole propagation with mass-preserving characteristic mixed finite element procedure. Numerical Algorithms 89 (2022) 323-340. [52.] Tian, Lulu；Guo, Xiuhui；Guo, Hui*；Jiang, Maosheng；Zhang, Jiansong. A Local discontinuous Galerkin method for pattern formation dynamical model in polymerizing action flocks. Science China Mathematics 65:4 (2022) 849-868. [51.] 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. [50.] Zhang, Jiansong*；Han, huiran；Yu, Yun；Liu, Jun. A new two-grid mixed finite element analysis of semi-linear reaction-diffusion equation. Computers & Mathematics with Applications 92 (2021) 172-179. [49.] Zhang, Jiansong*；Han, Huiran. A new discontinuous Galerkin mixed finite element method for compressible miscible displacement problem. Computers & Mathematics with Applications 80 (2020) 1714-1725. [48.] 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 for Partial Differential Equations 36 (2020) 1629-1647. [47.] Liu, Jun；Fu, Hongfei*；Zhang, Jiansong. A QSC method for fractional subdiffusion equations with fractional boundary conditions and its application in parameters identification. Mathematics and Computers in Simulation 174 (2020) 153-174. [46.] 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. [45.] 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. [44.] 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. [43.] Zhang, Jiansong*. A new combined characteristic mixed finite element method for compressible miscible displacement problem. Numerical Algorithms 81 (2019) 1157-1179. [42.] 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. [41.] Zhang, Jiansong*；Liu, Zhaohui；Yang, Danping；Zhu, Jiang. Parallel split least-squares mixed finite element method for parabolic problem. Numerical Methods for Partial Differential Equations 34:4 (2018) 1282-1300. [40.] Zhang, Jiansong*；Yang, Danping；Zhu, Jiang. Parallel characteristic mixed element method for saltwater intrusion problem. Journal of Computational and Applied Mathematics 336 (2018) 160-174. [39.] Zhang, Jiansong*；Zhang, Yuezhi；Liu, Zhaohui. A mass-conservative characteristic splitting mixed element method for saltwater intrusion problem. Journal of Nonlinear Sciences and Applications 10:11 (2017) 6102-6118. [38.] Zhang, Jiansong*；Yang, Danping；Guo, Hui；Qu, Yan. Parallel algorithm combined with mixed element procedure for compressible miscible displacement problem. Numerical Algorithms 76 (2017), no. 4, 993-1019. [37.] Fu, Hongfei*；Guo, Hui；Hou, Jian；Zhang, Jiansong. A stabilized mixed finite element approximation of bilinear state optimal control problems. Computers & Mathematics with Applications 74 (2017) 1246-1261. [36.] Zhang, Jiansong*；Yang, Danping. Parallel splitting positive definite mixed element method for parabolic problem. International Journal of Computer Mathematics 14:6 (2017) 1750061. [35.] Zhang, Yuezhi；Zhang, Jiansong*. The splitting mixed element method for parabolic equation and its application in chemotaxis model. Applied Mathematics and Computation 313 (2017) 287-300. [34.] Zhang, Jiansong*；Zhu, Jiang；Yang, Danping. A combined discontinuous Galerkin method for saltwater intrusion problem with splitting mixed procedure. Advances in Applied Mathematics and Mechanics 9:3 (2017) 651-666. [33.] Zhang, Jiansong*；Zhu, Jiang；Zhang, Rongpei；Yang, Danping；Loula, Abimael F.D. A combined discontinuous Galerkin finite element method for miscible displacement problem. Journal of Computational and Applied Mathematics 309 (2017) 44-55. [32.] 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. [31.] Zhang, Jiansong*； Zhu, Jiang； Yang, Danping； Guo, Hui. A characteristic splitting mixed finite element method for three-dimensional saltwater intrusion problem. Journal of Nonlinear Sciences and Applications 9:11 (2016) 5806-5820. [30.] Zhang, Jiansong*；Guo, Hui；Fu, Hongfe；Chang, Yanzhen. Parallel algorithm for convection-diffusion system based on least squares procedure, SpringerPlus 5 (2016) 1690. [29.] Zhang, Jiansong*；Zhang, Yuezhi；Zhu, Jiang； Yang, DanPing. Split characteristic mixed finite element methods for advection-dominated diffusion equation. Applied Mathematics: A Journal of Chinese Universities Series A 31:3 (2016) 338-350. [28.] Fu, Hongfei*；Rui, Hongxing；Guo, Hui；Zhang, Jiansong；Hou, Jian. A splitting least-squares mixed finite element method for elliptic optimal control problems. International Journal of Numerical Analysis and Modeling 13:4 (2016) 610-626. [27.] Niu, Haifeng*；Zhang, Jiansong；Zhang, Liuwei；Tian,Yanwei. Numerical analysis of the ellipticoptimal control problem with Lp-norm state constraints. International Conference on Intelligent Control and Computer Application (ICCA) 2016, pp.213-216. [26.] Fu, Hongfei*；Rui, Hongxing；Zhang, Jiansong；Guo, Hui. A priori error estimate of splitting positive definite mixed finite element method for parabolic optimal control problems. Numerical Mathematics-Theory Methods and Applications 9:2 (2016) 215-238. [25.] Zhang, Jiansong*；Zhu, Jiang；Zhang, Rongpei. Characteristic splitting mixed finite element analysis of Keller-Segel chemotaxis models. Applied Mathematics and Computation 278 (2016) 33-44. [24.] Zhang, Jiansong*; Fu, Hongfei；Guo, Hui. A new parallel subspace correction method for advection-diffusion equation. Journal of Applied Mathematics and Computing 50:1-2 (2016) 299-314. [23.] Zhang, Jiansong*；Yang, Danping. A new domain decomposition parallel algorithm for convection-diffusion problem. Mathematical Modelling and Analysis 19:4 (2014) 589-605. [22.] Zhang, Jiansong*；Yang, Danping； Shen, Shuqian； Zhu, Jiang. A new MMOCAA-MFE method for compressible miscible displacement in porous media. Applied Numerical Mathematics 80 (2014) 65-80. [21.] Guo, Hui*；Fu, Hongfei；Zhang, Jiansong. Superconvergence of the split least-squares method for second-order hyperbolic equations. Numerical Methods for Partial Differential Equations 30:1 (2014) 222-238. [20.] Zhu, Jiang*；Zhang, Jiansong；Loula, Abimael F. D.；Bevilacqua, Luiz. Mixed variational formulation and numerical analysis of thermally coupled nonlinear Darcy flows. SIAM Journal on Numerical Analysis 51:5 (2013) 2746-2772. [19.] Guo, Hui*；Zhang, Jiansong. Two splitting positive definite mixed element methods for pseudo-parabolic equations. Mathematica Applicata 26:1 (2013) 155-164. [18.] Guo, Hui*；Fu, Hongfei；Zhang, Jiansong. A splitting positive definite mixed finite element method for elliptic optimal control problem. Applied Mathematics and Computation 219 (2013) 11178-11190. [17.] Zhang, Jiansong；Zhu, Jiang*；Yu, Xijun；Loula, Abimael F. D.；Bevilacqua, Luiz. Mixed finite element analysis of thermally coupled quasi-Newtonian flows. International Journal of Numerical Analysis and Modeling Series B 4 (2013) 35-49. [16.] Zhang, Jiansong*；Zhu, Jiang；Guo, Hui；Fu, Hong Fei. A characteristic splitting least-squares method for convection-diffusion-reaction equations. Numerical Mathematics: A Journal of Chinese Universities Seies A 34 (2012) 289-299. [15.] Jian, Ling*；Zhang, Jiansong；Song. Yunquan；Zhao, Min. Numerical simulation of blast furnace hearth erosion based on finite difference method. Computer Engineering and Applications 48:9 (2012) 27-29. [14.] Shen, Shu-Qian*；Huang, Ting-Zhu；Zhang, Jiansong. Augmentation block triangular preconditioners for regularized saddle point problems. SIAM Journal on Matrix Analysis and Applications 33 (2012) 721-741. [13.] Guo, Hui*；Zhang, Jiansong； Fu, Hongfei. Two splitting positive definite mixed finite element methods for parabolic integro-differential equations. Applied Mathematics and Computation 218 (2012) 11255-11268. [12.] Zhang, Jiansong*；Guo, Hui. A split least-squares characteristic mixed element method for nonlinear nonstationary convection-diffusion problem. International Journal of Computer Mathematics 89 (2012) 932-943. [11.] Zhang, Jiansong*；Niu, Hai Feng. A new streamline-diffusion mixed finite element method for a compressible miscible displacement problem in porous medium. (Chinese) Journal of Shandong University Natural Science 46 (2011) 6-12. [10.] Zhang, Jiansong*；Yang, Danping；Zhu, Jiang. Two new least-squares mixed finite element procedures for convection-dominated Sobolev equations. Applied Mathematics:A Journal of Chinese Universities Series B 26 (2011) 401-411. [9.] Zhang, Jiansong*；Yang, Danping；Fu, Hongfei；Guo, Hui. Parallel characteristic finite element method for time-dependent convection-diffusion problem. Numerical Linear Algebra with Applications 18 (2011) 695-705. [8.] Zhang, Jiansong*；Yang, Danping. Parallel characteristic finite difference method for convection-diffusion equations. Numerical Methods for Partial Differential Equations 27 (2011) 854-866. [7.] Zhang, Jiansong*；Yang, Danping. Parallel least-squares finite element method for time-dependent convection-diffusion system. Computing 91 (2011) 217-240. [6.] Zhang, Jiansong*；Zhu, Jiang*；Yang, Danping；Yu, Xijun. Finite element analysis of semiconductor device equations with heat effect. International Journal of Numerical Analysis and Modeling Series B 1 (2010) 197-216. [5.] Zhang, Jiansong*. Least-squares mixed finite element method for the Sobolev equation. (Chinese) Gongcheng Shuxue Xuebao 26 (2009) 749-752. [4.] Zhang, Jiansong*；Yang, Danping. A splitting positive definite mixed element method for second-order hyperbolic equations. Numerical Methods for Partial Differential Equations 25 (2009), 622-636. [3.] Li, Gang；Zhang, Jiansong*；Zhu, Jiang；Yang, Danping. On vector Helmholtz equation with a coupling boundary condition. Numerical Mathematics: A Journal of Chinese Universities (English Series) 16:4 (2007) 358-369. [2.] Zhang, Jiansong*；Yang, Danping. Numerical analysis for a thermistor problem with mixed boundary conditions. Journal of Shandong University Natural Science 42 (2007) 1-8. [1.] Zhang, Jiansong*；Yang, Danping. A fully-discrete splitting positive definite mixed finite element scheme for compressible miscible displacement in porous media. Journal of Shandong University Natural Science 41:1(2006) 1-10. v 著作 Scientific Computing Methods, Gao Liping, Zhang Jiansong, Shi Rengang, Rui Jie,中国石油大学出版社，青岛，2023.11 （于2026年9月15日更新） | 
