数学科学学院??????
导航
个人资料
研究方向
开授课程
科研项目
学术成果
荣誉及奖励
个人资料
部门： 数学科学学院
毕业院校：
学位：
学历：
邮编：
联系电话： 86-
传真： 86-
电子邮箱： dpyang@math.ecnu.edu.cn
办公地址： 闵行校区数学楼223室
通讯地址： 上海闵行东川路500号，华东师范大学数学系，200241
教育经历
工作经历
个人简介
社会兼职
中国工业与应用数学学会理事
研究方向
偏微分方程数值解法、多尺度问题数学模型和数值方法、最优控制问题数值方法、区域分解与并行算法
开授课程
科研项目
学术成果
I 获奖：
1. 国家教委科技进步二等奖：有限元方法及其应用研究 1988 （合作）
2. 国家教委科技进步二等奖：能源数学的理论和应用 1992 （合作）
3. 山东省科技进步二等奖：边界有限元方法的理论和应用 1993 （独立）
4. 山东省科技进步一等奖：三维盆地模拟系统 1993 （合作）
5. 国家教委科技进步二等奖：油水资源数值模拟的方法、理论和应用 1996（合作）
.
II 荣誉称号
1. “跨世纪优秀人才计划”专家 国家教委 1993
2. 全国优秀教师 国家教委和国家人事部 1993
3. 享受政府特殊津贴专家 国务院 1994
4. 山东省专业技术拔尖人才 中共山东省委 1995
5. 国家级“百千****才计划”专家国家人事部 1998
.
III.学术论文
I. Articles in Refereed Journals
[80]Adaptive optimal control approximation for solving a fourth-order elliptic variational inequality.Computers and Mathematics with Applications 66 (2014) 2517–2531 ( with W. D. Cao )CMWA_2014.pdf
[79] Well-posedness of variable-coefficient conservativefractional elliptic differential equations. SIAM Journalon Numerical Analysis51(2), (2013): 1088–1107 ( with H. Wang )SIAM_NA_2013.pdf
[78]A postriori error estimate of finite element method for the optimal control withthe statioary Beard problem. Journal of ComputationalMathematics31(1), (2013): 68–87( withY. Z. Chang)JCM3864.pdf
[77]Finite element methods foroptimal control problems governed by linear quasi-parabolic integro-differential equations. International Journal of Numerical Analysis and Modeling. 10(3), (2013):536–550.( withW. F. Shen and L. Ge)IJNAM.pdf
[76] Adaptive finite element method for an optimal control problem of Stokes flow with L2-norm state constraint International Journal for Numerical Methods in Fluids69(3)(2012):534–549,( with H. F. Niu and L. Yuan )JNMF_2011.pdf
[75] An improved a posteriori error estimate for the Galerkin spectral method in one dimensionComputers and Mathematics with Applications 61(2011): 334-340 (with J. W. Zhou)CAMWA_2011.pdf
[74] Parallel least-squares finite element method for time-dependent convection diffusion systemComputing 91(2011): 217-240 (with J. S. Zhang )Compting_2011.pdf
[73]Spectral mixed Galerkin method for state constrained optimal control problem governed by the first bi-harmonic equationInternational Journal of Computer Mathematics88(14), (2011): 2988–3011. (with J. W. Zhou)IJCM_2011.pdf
[72] Parallel characteristic finite element method for time-dependent convection diffusion problem Numerical Linear Algebra with Applications 48(3) (2011): 1163-1185 ( with J. S. Zhang)NLAWA_2011.pdf
[71]A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential
equationsJournal of Computational and Applied Mathematics. 235(2011):5078–5094 ( with H. B. Chang )JCAM_2011.pdf
[70]Finite element analysis of optimal control problem governed by Stokes withL2-norm state-constraints Journal of Computational Mathematics.29(5)(2011): 589–604. ( with H. F. Niu)JCM_2011.pdf
[69]Parallel Characteristic Finite Difference Method for Convection–Diffusion Equations Numerical Methods Partial Differential Equations 27 (2011): 854–866,( with J. S. Zhang )NMPDE_2011.pdf
[68] Finite element approximations of an optimal control problem with integral state constraint SIAM Journalon Numerical Analysis 48(3) (2010): 1163-1185 (with W. B. Liu‚ L‚Yuan, C. Q. Ma)SNUM_2010.pdf
[67]Parallel domain decomposition procedures of improved D-D type for parabolic problemsJournal of Computational andAppliedMathematics. 233 (2010): 2779-2794JCAM_2010.pdf
[66]Finite element analysis of semiconductor device equations with heat effect.International Journal of Numerical Analysis andModeling, Series B.1(2)(2010): 197–216IJNAM_2010.pdf
[65] Ciarlet-Raviart mixed finite element approximation for an optimal control problem governed by the first bi-harmonic equations Journal of Computational and Applied Mathematics. 233 (2009) 372-388( with W. D. Cao )JCAM2009_2.pdf
[64]Parallel Galerkin domain decomposition procedure for parabolic equation on general domain.Numerical Methods for PartialDifferential Equations‚ 25(5)(2009): 622-636( withK. Y. Ma and T. J. Sun )NMPDE_2009_2.pdf
[63] Adaptive finite element approximation for a constrained optimal control problem via multi-meshes Journal of Scientific Computing‚ 41 (2009): 238-255 ( withL. Ge and W. B. Liu )
[62] Finite element approximation to nonlinear coupled thermal problem Journal of Computational and Applied Mathematics.225(2)(2009): 467-477 (with Y. Z. Chang and J. Zhu )JCAM2009_1.pdf
[61]A splitting positive definite mixed element method for second-order hyperbolic equation. Numerical Methods for Partial Differential Equations 25(3)(2009): 622-636 ( with J. S.Zhang )NMPDE_2009_1.pdf
[60]A posteriori error estimate of optimal control problem of PDE with integralconstraint for state. Journal of ComputationalMathematics.27(4) (2009): 525-542 ( with L. Yuan)
[59]L2- norm equivalent a posteriori error estimate for a constrained optimal controlproblem. International Journal of Numerical Analysis and Modeling. 6(2) (2009): 335-353( with L. Ge‚ W. B.Liu)IJNAM_2009-02-10.pdf
[58]Error estimates for discontinuous Galerkin method withinterior penalties applied to nonlinear Sobolev equations.Numerical Methods for Partial Differential Equations24 (2008): 879-896. ( with T.J. Sun)NMPDE_2008.pdf
[57]Superconvergence analysis of finite element methods for optimal control problemsJournal of Computational Mathematics. 26(5) (2008): 660-676 ( with Y. Z. Chang )JCM2008_2.pdf
[56]Multi-scale analysis and computation for the3D incompressibleNavier-Stokes equations.SIAM Multiscale Model andSimulation. 6(4) ( 2008): 1317-1346 ( with T. Y. Hou‚ H. Y. Ran)mms08.pdf
[55] A priori estimate and superconvergence analysis for an optimal controlproblem of bilinear type.Journal of Computational Mathematics. 26(4) (2008): 471-487 ( with Y. Z.Chang and W. B.Liu )JCM2008_1.pdf
[54]An upwind finite-volume element scheme and its maximum-principle-preserving property for nonlinear convection-diffusion problem.International Journal for Numerical Methods inFluids. 56(12)(2008): 2301-2320. ( with F. Z.Gao‚ Y. R.Yuan )IJNMF_2008.pdf
[53]Error Estimates for a Discontinuous Galerkin Method with Interior Penalties Applied to Nonlinear Sobolev Equations. Numerical Methods Partial Differential Equations 24(2008) : 879–896, 2008NMPDE_2008.pdf
[52]Parallel dfference schemes for heat equation based on overlapping domain decomposition‚ Applied Mathematicsand Computation 186(2007): 1276-1292 ( with T. Min )amc2007.pdf
[51]On vector Helmholtz equations with a coupling boundary conditionNumerical Mathematics‚ A Journal of Chinese Universities 16(4) (2007): 358-369 ( with G. Li‚ J. S.Zhang‚ J. Zhu)
[50]Quasi-least-squares finite element methods for steady flow and heat transfer with system rotation.Numerische Mathematik 104(2006): 377-411 . ( with L.Q.Wang)nm2006.pdf
[49]Multi-scale computation of isotropic homogeneous turbulent flow.Contemporary Mathematics‚ 408(2006): 111-135 ( with T. Y. Hou‚ H. Y. Ran )AMS_proc2006.pdf
[48]A framework for modeling subgrid effect for two-phase flows inporous mediaMulti-scale Modeling andSimulation. 5(4) ( 2006): 1087-1127 . ( with T. Y. Hou‚ A. Westhen)mms2006.pdf
[47] Analysis of incompressible miscible displacement in porous media by characteristics collocation method.Numerical Methods for Partial Differential Equations 22(4) (2006): 797-814 ( with N. Ma‚ T. C. Lu )NMPDE2006.pdf
[46] Multiscale analysis in Lagrangian formulation for the 2-d Incompressible Euler equation.Discrete and Continuous Dynamical Systems-A Vol. 13‚ No. 5‚ (2005). pp. 1153-1186 ( with T. Y. Hou‚ H. Y. Ran )
[45]Two finite –element schemes for steady convective heat transfer with system rotation and variable thermal properties.Numerical Heat Transfer. B‚ Vol. 47‚ No. 4‚ (2005). pp: 343-360( withL. Q.Wang )NHT2005.pdf
[44]Homogenization of incompressible Euler equationJournal of Computational Mathematics 22(2004). pp: 220-229.( with T. Y. Hou‚ K. Wang )
[43]A parallel domain decomposition algorithm of mixed element equation for second order elliptic Dirichlet boundary value problem. Applied Mathematicsand Computation 129(2-3) (2002): 375-389.amc2002.pdf
[42] The finite difference streamline diffusion methods for Soblev equations with convection-dominated term.Applied Mathematicsand Computation Vol.125‚ No. 2-
[41] Least-squares mixed finite element methods for non-linear parabolic problems‚Journal of Computational Mathematics‚ 20(2): (2002): 153-164‚
[40]C-N difference streamline diffusion method for three dimensional semiconductor problem with heat conduction and numerical analysis Acta Mathematiche Applicatae Sinica‚ 25(2)(2002): 230-243 (in Chinese) ( withZ. R.Zhang )\
[39]A splitting positive definite mixed element method for miscible Displacement of compressible flow inporous media.Numerical Methods forPartial Differential Equations‚ 17(2001): 229-249.NMPDE2001.pdf
[38]Multiplicative Schwarz algorithm with time stepping along characteristics for convection-diffusion equations.Journal of Computational Mathematics 19(5): (2001.09): 501-510‚ ( withH. X.Rui )JCM2001.pdf
[37] Creak-Nicolson finite difference streamline diffusion method for convection-diffusion problemNumerical Mathematics‚ A Journal of Chinese Universities 23(42) (2001): 294-299 (in Chinese) ( withZ. R.Zhang )
[36] Analysis of parallel Schwarz algorithm for elliptic problems. Applied Mathematics and Computation 114(2000): 75-93.amc2000.pdf
[35] Least-squares finite element methods for Sobolev equations.Indian Journal of Pure Applied Mathematics 31(5) (2000): 505-517.( withH. M. Gu ).
[34] Least-squares finite element method for a class of Stokes Equations Applied Mathematics and Mechanics. 21(5) (2000): 557-566. ( withH. M. Gu ).AMM2000.pdf
[33] A symmetric positive definite mixed finite element method for transient simulation of a semiconductordevice. Acta Mathematiae Applicatae Sinica. 23(3) (2000), ( in Chinese ).
[32]Analysis of least-squares mixed finite element methods for nonlinear nonstationay convection-diffusion problems.Mathematics of Computation 69(231) (1999): 929-963.MATHCOMP.pdf
[31] Some least-squares Galerkin finite element procedures for convection diffusion problems.Computer Methods in Applied Mechanicsm and Engineering. 180 (1999): 82 -95.CMAM_1999.pdf
[30] A characteristic mixed element method for displacement problems of compressible flow in porousmedia. Science in China A. .14(8) (1998): 820-828.
[29] Schwarz type domain decomposition algorithms for parabolic equations and error estimates. Acta Mathematicae Applicatae Sinica 14(3) (1998). (with H. X. Rui )
[28] Parallel Schwarz algorithms for parabolic equations and error estimates. Numerical Mathematics, A Journal of Chinese Universities. 6(1) (1997).(with H. X. Rui )
[27] A coupling numerical simulation method of difference and finite element for displacement of two-phase flow in three-dimensional porous media. Journal of Hydrodynamics. Ser. A. 10(1) (1995) ( in Chinese ).
[26] Difference-boundary element method for the first initial boundary value problem of nonlinear parabolic equation. Applied Mathematics, A Journal of Chinese Universities. 13(3) (1995) ( in Chinese ). ( withT. C. Lu)
[25] High order difference-boundary element method for initial boundary value problems oftwo dimensional parabolic equations and error estimates.Applied Mathematics, A Journal of Chinese Universities 9(4) (1994) ( in Chinese ).( withT. C. Lu)
[24] Numerical simulation for evolutionary history of three-dimensional basin. Applied Mathematics and Mechanics. 15(5) (1994). (withY. R. Yuan, W. Q. Wang )
[23] Finite element method its numerical analysis for partial differentialequations of numerical simulation for evolutionary history of oil basin. Journal of System Science and Mathematical Science. 14(1) (1994). ( in Chinese ).(withY. R. Yuan, W. Q. Wang )
[22] Finite element method for miscible displacement of multiphase fully compressible flow. Journal of Applied Sciences. 12(2) (1994) ( in Chinese ).
[21] Boundary difference-integral equation method and its error estimates for second order hyperbolic partial differential equation. Acta Mathematiae Applicatae Sinica. 9(3) (1993).
[20] Schwarz Domain Decomposition Algorithms for Boundary Element Method.Numerical Mathematics, A Journal of Chinese Universities. 2(2) (1993).
[19] A coupling method of difference and boundary finite element and its error estimates for nonlinear parabolic initial boundary value problems Journal of Systems Science and Mathematical Science 13(2) (1993) ( in Chinese ).
[18] Boundary integral-differential equation and boundary element method for boundary value problems of a partial differential equation of elliptic type in 3-D.Mathematica Numerica Sinica. 5(3) (1993) ( in Chinese ).
[17] Boundary integral-differential equation and its boundary element method for parabolic initial-boundary value problems.Chinese Annals of Mathematics A. 13(3) (1992)( in Chinese )
[16] Global maximum norm estimates of boundary finite element methods for elliptic boundary value problems. Journal of Computational Mathematics. (1992).
[15] Characteristics-finite element method and its error estimate for convection diffusion problem Acta Mathematica Scientia13(13) (1992).
[14] Finite difference methods and numerical analysis for petroleum origin and accumulation in basin evolution. Numerical Mathematics, A Journal of Chinese Universities 14(1) (1992)( in Chinese ).( with Y. R. Yuan, W. Q. Wang)
[13] The characteristics-finite difference method for petroleum origin and accumulation in basin evolution Numerical Mathematics, A Journal of Chinese Universities. 14(3) (1992)( in Chinese ).( with Y. R. Yuan, W. Q. Wang)
[12] Computer simulation for three-dimensional problem of an oil-gasbearing basin and its numerical analysis Chinese Journal of Computational Physics. 9(4) (1992) (in Chinese ).( with Y. R. Yuan, W. Q. Wang)
[11] Coupling Methods of finite element and characteristics and its error estimates for a class ofdisplacement problem of two-phase flow in porous media. Journal of Shandong University. 27(2) (1992) ( in Chinese ).
[10] Global Maximum-Norm Error Estimates of Curved Boundary Element for Solving SingularBoundary Integral Equations. Chinese Science Bulletin. 30(11)(1991).
[09] A coupling method of difference with high order accuracy and boundary integral equationfor evolutionary equation and its Error estimates Applied Mathematics and Mechanics. 12(9) (1991)
[08]Boundary element methods for two-dimensional stationary convection-diffusion problems Numerical Mathematics, A Journal of Chinese Universities. 13(4) (1991)( in Chinese ).
[07] Numerical simulation of a section showing the development of an oil-gas-bearing basin and its application. Acta Petroleum Sinica. 12(4) (1991) ( in Chinese ) ( withY. R. Yuan, W. Q. Wang)
[06] Approximation and its optimal error estimates of displacement of two-phase Incompressible flow by mixed finite element anda modified method of characteristics.Chinese Science Bulletin. 35(20) (1990).
[05] On stability and convergence of numerical methods of the discrete operator for nonlinear parabolic equations. Numerical Mathematics. A Journal of Chinese Universities 9(1) (1987)( in Chinese)
[04] On singular perturbation boundary value problems of coupling type system of convection diffusion equations. Applied Mathematics and Mechanics. 7(12) (1986)
[03] Generalized difference method for nonlinear parabolic equation and system with one-dimensional spatial variable. Journal of Engineering Mathematics 2(2): 25 - 35 (1985). (in Chinese )
[02] Numerical method of differential discrete operator of two-phase displacement problem. Chinese Journal of Computational Physics. 2(2) (1985) (in Chinese ).( with Y. R. Yuan, W. Q. Wang)
[01] A new numerical analog of two-phase immiscible flow and its theoretical analysis. Chinese Science Bulletin 13(11) (1985).( with Y. R. Yuan, W. Q. Wang)
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