基本信息

    

 

1.  Yinnian He: Professor of Mathematics in Xi'an Jiaotong University

 

2. Educations:

A: Shaanxi Normal University (1978-1982), Major: Mathematics; Degree: B.S.

B: Xi'an Jiaotong University (1983-1986), Major: Computational Mathematics,

Degree: M.S.

C: Xi'an Jiaotong University (1989-1992), Major: Computational Fluid Dynamics,

 Degree: Ph.D.

 

6. Research Field:

  • Computational Mathematics;  
  • Computational Fluid Dynamics;
  • Numerical Analysis for Partial Differential Equations.
     
    7. Teaching Courses:
    Linear Algebra; Advanced Calculs;
    Distribution and Sobolev Space;
    Mathematical Physics Equations;
      Nonlinear Problem and Numerical Analysis;
      Mathematical Physics Problems in Continuous Field;
      Partial Differential Equations.
     
    8. Yinnian He's Publications:
     
  1. A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshesJournal of Computational and Applied Mathematics, vol. 299, pp. 101–126, 2016.
  2. Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamicsScience China Mathematics, vol. 59, no. 3, pp. 589–608, 2016.
  3. An efficient and accurate fully discrete finite element method for unsteady incompressible Oldroyd fluids with large time stepInternational Journal for Numerical Methods in Fluids, vol. 80, no. 6, pp. 375–394, 2016.
  4. Convergence of the crank-nicolson/newton scheme for nonlinear parabolic problemActa Mathematica Scientia, vol. 36, no. 1, pp. 124–138, 2016.
  5. First-order decoupled finite element method of the three-dimensional primitive equations of the ocean,SIAM Journal on Scientific Computing, vol. 38, no. 1, pp. A273–A301, 2016.
  6. An efficient two-step algorithm for the incompressible flow problemAdvances in Computational Mathematics, vol. 41, no. 6, pp. 1059–1077, 2015.
  7. Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics,Journal of Scientific Computing, vol. 63, no. 2, pp. 426–451, 2015.
  8. Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equationsIMA Journal of Numerical Analysis, vol. 35, no. 2, pp. 767–801, 2015.
  9. Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible MagnetohydrodynamicsJournal of Scientific Computing, vol. 65, no. 3, pp. 920–939, 2015.
  10. H2-Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier–Stokes EquationsJournal of Scientific Computing, vol. 62, no. 1, pp. 230–264, 2015.
  11. Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementationComputers and Mathematics with Applications, vol. 69, no. 12, pp. 1390–1406, 2015.
  12. Second order decoupled implicit/explicit method of the primitive equations of the ocean i: Time discretizationInternational Journal of Numerical Analysis and Modeling, vol. 12, no. 1, pp. 1–30, 2015.
  13. Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations: Numerical implementationInternational Journal of Numerical Methods for Heat and Fluid Flow, vol. 25, no. 8, pp. 1912–1923, 2015.
  14. Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equationsJournal of Mathematical Analysis and Applications, vol. 423, no. 2, pp. 1129–1149, 2015.
  15. Discontinuous finite volume methods for the stationary Stokes-Darcy problemInternational Journal for Numerical Methods in Engineering, 2015.
  16. On two-level Oseen iterative methods for the 2D/3D steady Navier-Stokes equationsComputers and Fluids, vol. 107, pp. 89–99, 2015.
  17. Steady-state solutions and stability for a cubic autocatalysis modelCommunications on Pure and Applied Analysis, vol. 14, no. 3, pp. 1147–1167, 2015.
  18. Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order oneDiscrete and Continuous Dynamical Systems - Series B, vol. 20, no. 8, pp. 2583–2609, 2015.
  19. Modified characteristics mixed defect-correction finite element method for the time-dependent Navier–Stokes problemsApplicable Analysis, vol. 94, no. 4, pp. 701–724, 2015.
  20. Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domainComputers and Mathematics with Applications, 2014.
  21. An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equationJournal of Computational Physics, vol. 269, pp. 138–155, 2014.
  22. Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamicsComputer Methods in Applied Mechanics and Engineering, vol. 276, pp. 287–311, 2014.
  23. First order decoupled method of the primitive equations of the ocean I: Time discretizationJournal of Mathematical Analysis and Applications, vol. 412, no. 2, pp. 895–921, 2014.
  24. A new high-order compact adi method for 3-d unsteady convection-diffusion problems with discontinuous coefficientsNumerical Heat Transfer, Part B: Fundamentals, vol. 65, no. 4, pp. 376–391, 2014.
  25. A new method to deduce high-order compact difference schemes for two-dimensional Poisson equationApplied Mathematics and Computation, vol. 230, pp. 9–26, 2014.
  26. Analysis of a fully discrete local discontinuous galerkin method for time-fractional fourth-order problemsApplied Mathematical Modelling, vol. 38, no. 4, pp. 1511–1522, 2014.
  27. Two-level multiscale finite element methods for the steady navier-stokes problemActa Mathematica Scientia, vol. 34, no. 3, pp. 960–972, 2014.
  28. Global H2-regularity results of the 3D primitive equations of the oceanInternational Journal of Numerical Analysis and Modeling, vol. 11, no. 3, pp. 452–477, 2014.
  29. A robust high-order compact method for the three dimensional nonlinear biharmonic equations,International Journal of Computational Methods, vol. 11, no. 4, 2014.
  30. A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equationInternational Journal of Computer Mathematics, vol. 91, no. 9, pp. 2021–2038, 2014.
  31. Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI methodComputer Physics Communications, vol. 185, no. 10, pp. 2449–2455, 2014.
  32. H1-Super-convergence of center finite difference method based on P1-element for the elliptic equation,Applied Mathematical Modelling, vol. 38, no. 23, pp. 5439–5455, 2014.
  33. Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domainComputers and Mathematics with Applications, vol. 68, no. 7, pp. 770–788, 2014.
  34. Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problemComputers and Mathematics with Applications, vol. 67, no. 1, pp. 1–25, 2014.
  35. An iterative meshfree method for the elliptic monge-ampère equation in 2DNumerical Methods for Partial Differential Equations, vol. 30, no. 5, pp. 1507–1517, 2014.
  36. A finite element analysis on fluid motion in librating triaxial ellipsoidsNumerical Methods for Partial Differential Equations, vol. 30, no. 5, pp. 1518–1537, 2014.
  37. Two-level hierarchical basis preconditioner for elliptic equations with jump coefficientsJournal of Computational Analysis and Applications, vol. 16, no. 3, pp. 515–527, 2014.
  38. Analysis of a local discontinuous Galerkin method for time-fractional advection-diffusion equations,International Journal of Numerical Methods for Heat and Fluid Flow, vol. 23, no. 4, pp. 634–648, 2013.
  39. A quadratic equal-order stabilized finite element method for the conduction-convection equations,Computers and Fluids, vol. 86, pp. 169–176, 2013.
  40. Two-level Newton's method for nonlinear elliptic PDEsJournal of Scientific Computing, vol. 57, no. 1, pp. 124–145, 2013.
  41. Analysis of the fractional Kawahara equation using an implicit fully discrete local discontinuous Galerkin methodNumerical Methods for Partial Differential Equations, vol. 29, no. 5, pp. 1441–1458, 2013.
  42. Finite difference streamline diffusion method using nonconforming space for incompressible time-dependent Navier-Stokes equationsApplied Mathematics and Mechanics (English Edition), vol. 34, no. 9, pp. 1083–1096, 2013.
  43. Multiscale enrichment of a finite volume element method for the stationary Navier-Stokes problem,International Journal of Computer Mathematics, vol. 90, no. 9, pp. 1938–1957, 2013.
  44. Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equationsApplied Mathematics and Mechanics (English Edition), vol. 34, no. 8, pp. 953–970, 2013.
  45. Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equationsFrontiers of Mathematics in China, vol. 8, no. 4, pp. 837–854, 2013.
  46. Homotopy analysis method for space-time fractional differential equationsInternational Journal of Numerical Methods for Heat and Fluid Flow, vol. 23, no. 6, pp. 1063–1075, 2013.
  47. Numerical analysis of the fractional seventh-order KdV equation using an implicit fully discrete local discontinuous Galerkin methodInternational Journal of Numerical Analysis and Modeling, vol. 10, no. 2, pp. 430–444, 2013.
  48. Cascadic meshfree method for the elliptic Monge-Ampère equationEngineering Analysis with Boundary Elements, vol. 37, no. 7-8, pp. 990–996, 2013.
  49. H1-Stability and convergence of the FE, FV and FD methods for an elliptic equationEast Asian Journal on Applied Mathematics, vol. 3, no. 2, pp. 154–170, 2013.
  50. Convergence analysis of a new multiscale finite element method with the P1/P0 element for the incompressible flowComputer Methods in Applied Mechanics and Engineering, vol. 258, pp. 13–25, 2013.
  51. A second order modified characteristics variational multiscale finite element method for time-dependent Navier-Stokes problemsJournal of Computational Mathematics, vol. 31, no. 2, pp. 154–174, 2013.
  52. Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equationsApplied Mathematical Modelling, vol. 37, no. 3, pp. 728–741, 2013.
  53. Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methodsNumerical Algorithms, vol. 63, no. 1, pp. 143–164, 2013.
  54. Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equationsNumerische Mathematik, vol. 123, no. 1, pp. 67–96, 2013.
  55. Some iterative finite element methods for steady Navier-Stokes equations with different viscosities,Journal of Computational Physics, vol. 232, no. 1, pp. 136–152, 2013.
  56. Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equationZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 93, no. 1, pp. 14–28, 2013.
  57. A family of fourth-order and sixth-order compact difference schemes for the three-dimensional poisson equationJournal of Scientific Computing, vol. 54, no. 1, pp. 97–120, 2013.
  58. Solving the elliptic Monge-Ampère equation by Kansa's methodEngineering Analysis with Boundary Elements, vol. 37, no. 1, pp. 84–88, 2013.
  59. Cascadic multigrid preconditioner for elliptic equations with jump coefficientsElectronic Transactions on Numerical Analysis, vol. 39, pp. 333–339, 2012.
  60. A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equationsNumerische Mathematik, vol. 122, no. 2, pp. 279–304, 2012.
  61. Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equationFinite Elements in Analysis and Design, vol. 59, pp. 28–34, 2012.
  62. Two-level Newton iterative method for the 2D/3D steady Navier-Stokes equationsNumerical Methods for Partial Differential Equations, vol. 28, no. 5, pp. 1620–1642, 2012.
  63. P 1-nonconforming quadrilateral finite volume methods for the semilinear elliptic equationsJournal of Scientific Computing, vol. 52, no. 3, pp. 519–545, 2012.
  64. Numerical Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Fractional Zakharov-Kuznetsov EquationMathematical Modelling and Analysis, vol. 17, no. 4, pp. 558–570, 2012.
  65. A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairsJournal of Mathematical Analysis and Applications, vol. 392, no. 2, pp. 209–224, 2012.
  66. Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equationsJournal of Computational Physics, vol. 231, no. 20, pp. 6790–6800, 2012.
  67. A generalized fractional sub-equation method for fractional differential equations with variable coefficientsPhysics Letters, Section A: General, Atomic and Solid State Physics, vol. 376, no. 38-39, pp. 2588–2590, 2012.
  68. Long time numerical stability and asymptotic analysis for the viscoelastic oldroyd flowsDiscrete and Continuous Dynamical Systems - Series B, vol. 17, no. 5, pp. 1551–1573, 2012.
  69. On error estimates of the penalty method for the unsteady conduction-convection problem I: Time DiscretizationInternational Journal of Numerical Analysis and Modeling, vol. 9, no. 4, pp. 876–891, 2012.
  70. A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integrationMathematical Methods in the Applied Sciences, vol. 35, no. 9, pp. 1033–1046, 2012.
  71. Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations,Applied Mathematics and Computation, vol. 218, no. 17, pp. 8269–8278, 2012.
  72. Two-level stabilized finite element method for Stokes eigenvalue problemApplied Mathematics and Mechanics (English Edition), vol. 33, no. 5, pp. 621–630, 2012.
  73. Fully discrete finite element method based on pressure stabilization for the transient Stokes equations,Mathematics and Computers in Simulation, vol. 82, no. 8, pp. 1496–1515, 2012.
  74. Nonconforming spline collocation methods in irregular domains II: Error analysisNumerical Methods for Partial Differential Equations, vol. 28, no. 2, pp. 441–456, 2012.
  75. A defect-correction method for unsteady conductionconvection problems II: Time discretization,Journal of Computational and Applied Mathematics, vol. 236, no. 9, pp. 2553–2573, 2012.
  76. Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluidDiscrete and Continuous Dynamical Systems, vol. 32, no. 2, pp. 657–677, 2012.
  77. The characteristic finite difference streamline diffusion method for convection-dominated diffusion problemsApplied Mathematical Modelling, vol. 36, no. 2, pp. 561–572, 2012.
  78. A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equationsComputer Methods in Applied Mechanics and Engineering, vol. 209-212, pp. 172–183, 2012.
  79. The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial dataNumerical Methods for Partial Differential Equations, vol. 28, no. 1, pp. 155–187, 2012.
  80. Astabilized finite element method for non-stationary conduction-convection problemsAdvances in Applied Mathematics and Mechanics, vol. 3, no. 2, pp. 239–258, 2011.
  81. The local discontinuous Galerkin finite element method for Burger's equationMathematical and Computer Modelling, vol. 54, no. 11-12, pp. 2943–2954, 2011.
  82. Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equationsApplied Mathematical Modelling, vol. 35, no. 12, pp. 5856–5871, 2011.
  83. A local superconvergence analysis of the finite element method for the Stokes equations by local projectionsNonlinear Analysis, Theory, Methods and Applications, vol. 74, no. 17, pp. 6499–6511, 2011.
  84. Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem,Mathematical Problems in Engineering, vol. 2011, 2011.
  85. A new parallel finite element algorithm for the stationary Navier-Stokes equationsFinite Elements in Analysis and Design, vol. 47, no. 11, pp. 1262–1279, 2011.
  86. Homotopy analysis method for higher-order fractional integro-differential equationsComputers and Mathematics with Applications, vol. 62, no. 8, pp. 3194–3203, 2011.
  87. Variable-coefficient discrete (G′/G) -expansion method for nonlinear differential-difference equations,Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 375, no. 38, pp. 3355–3361, 2011.
  88. Global asymptotical properties for a diffused HBV infection model with CTL immune response and nonlinear incidenceActa Mathematica Scientia, vol. 31, no. 5, pp. 1959–1967, 2011.
  89. On error estimates of the fully discrete penalty method for the viscoelastic flow problemInternational Journal of Computer Mathematics, vol. 88, no. 10, pp. 2199–2220, 2011.
  90. Galerkin and subspace decomposition methods in space and time for the NavierStokes equations,Nonlinear Analysis, Theory, Methods and Applications, vol. 74, no. 10, pp. 3218–3231, 2011.
  91. A new stabilized subgrid eddy viscosity method based on pressure projection and extrapolated trapezoidal rule for the transient Navier-Stokes equationsJournal of Computational Mathematics, vol. 29, no. 4, pp. 415–440, 2011.
  92. The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial dataNumerical Methods for Partial Differential Equations, 2011.
  93. A defect-correction mixed finite element method for stationary conduction-convection problems,Mathematical Problems in Engineering, vol. 2011, 2011.
  94. Modified homotopy perturbation method for solving the Stokes equationsComputers and Mathematics with Applications, vol. 61, no. 8, pp. 2262–2266, 2011.
  95. Parallel finite element algorithms based on fully overlapping domain decomposition for time-dependent Navier-Stokes equationsJisuan Wuli/Chinese Journal of Computational Physics, vol. 28, no. 2, pp. 181–187, 2011.
  96. A two-level finite element method for the stationary Navier-Stokes equations based on a stabilized local projectionNumerical Methods for Partial Differential Equations, vol. 27, no. 2, pp. 460–477, 2011.
  97. A defect-correction method for unsteady conduction convection problems I: Spatial discretization,Science China Mathematics, vol. 54, no. 1, pp. 185–204, 2011.
  98. A comparison of three kinds of local and parallel finite element algorithms based on two-grid discretizations for the stationary Navier-Stokes equationsComputers and Fluids, vol. 40, no. 1, pp. 249–257, 2011.
  99. On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equationsInternational Journal of Numerical Analysis and Modeling, vol. 8, no. 1, pp. 70–85, 2011.
  100. A Posteriori error estimate for stabilized low-order mixed fem for the stokes equationsAdvances in Applied Mathematics and Mechanics, vol. 2, no. 6, pp. 798–809, 2010.
  101. On error estimates of the penalty method for the viscoelastic flow problem I: Time discretization,Applied Mathematical Modelling, vol. 34, no. 12, pp. 4089–4105, 2010.
  102. Computer implementation of a coupled boundary and finite element methods for the steady exterior Oseen problemMathematical Problems in Engineering, vol. 2010, 2010.
  103. A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equationsJournal of Computational and Applied Mathematics, vol. 235, no. 3, pp. 708–725, 2010.
  104. Fully discrete finite element approximations of a polymer gel modelSIAM Journal on Numerical Analysis, vol. 48, no. 6, pp. 2186–2217, 2010.
  105. A stabilised characteristic finite element method for transient Navier-Stokes equationsInternational Journal of Computational Fluid Dynamics, vol. 24, no. 9, pp. 369–381, 2010.
  106. Blow-up and global solutions for a class of nonlinear parabolic equations with different kinds of boundary conditionsApplied Mathematics and Computation, vol. 217, no. 2, pp. 801–810, 2010.
  107. A coupled Newton iterative mixed finite element method for stationary conduction-convection problemsComputing (Vienna/New York), vol. 89, no. 1-2, pp. 1–25, 2010.
  108. Two-level stabilized finite element method for the transient Navier-Stokes equationsInternational Journal of Computer Mathematics, vol. 87, no. 10, pp. 2341–2360, 2010.
  109. Newton iterative parallel finite element algorithm for the steady navier-stokes equationsJournal of Scientific Computing, vol. 44, no. 1, pp. 92–106, 2010.
  110. Parallel iterative finite element algorithms based on full domain partition for the stationary Navier-Stokes equationsApplied Numerical Mathematics, vol. 60, no. 7, pp. 719–737, 2010.
  111. Subgrid model for the stationary incompressible Navier-Stokes equations based on the high order polynomial interpolationInternational Journal of Numerical Analysis and Modeling, vol. 7, no. 4, pp. 734–748, 2010.
  112. Assessment of subgrid-scale models for the incompressible Navier-Stokes equationsJournal of Computational and Applied Mathematics, vol. 234, no. 2, pp. 593–604, 2010.
  113. Parallel finite element algorithm based on full domain partition for stationary Stokes equationsApplied Mathematics and Mechanics (English Edition), vol. 31, no. 5, pp. 643–650, 2010.
  114. Fully discrete finite element method for the viscoelastic fluid motion equationsDiscrete and Continuous Dynamical Systems - Series B, vol. 13, no. 3, pp. 665–684, 2010.
  115. Numerical implementation of the Crank Nicolson/Adams Bashforth scheme for the time-dependent Navier Stokes equationsInternational Journal for Numerical Methods in Fluids, vol. 62, no. 6, pp. 647–659, 2010.
  116. An inf-sup stabilized finite element method by multiscale functions for the stokes equationsAdvances in Applied Mathematics and Mechanics, vol. 1, no. 2, pp. 273–287, 2009.
  117. Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairsComputing (Vienna/New York), vol. 86, no. 1, pp. 37–51, 2009.
  118. Fourier analysis of Schwarz domain decomposition methods for the biharmonic equationApplied Mathematics and Mechanics (English Edition), vol. 30, no. 9, pp. 1177–1182, 2009.
  119. Combination of standard galerkin and subspace methods for the time-dependent navier-stokes equations with nonsmooth initial dataNumerical Methods for Partial Differential Equations, vol. 25, no. 5, pp. 1009–1028, 2009.
  120. Application of modified homotopy perturbation method for solving the augmented systemsJournal of Computational and Applied Mathematics, vol. 231, no. 1, pp. 288–301, 2009.
  121. Two-level Galerkin-Lagrange multipliers method for the stationary Navier-Stokes equationsJournal of Computational and Applied Mathematics, vol. 230, no. 2, pp. 504–512, 2009.
  122. Stabilized multiscale finite element method for the stationary Navier-Stokes equationsJournal of Mathematical Analysis and Applications, vol. 354, no. 2, pp. 708–717, 2009.
  123. Traveling wavefronts for a two-species ratio-dependent predator-prey system with diffusion terms and stage structureNonlinear Analysis: Real World Applications, vol. 10, no. 3, pp. 1691–1701, 2009.
  124. Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equationsComputer Methods in Applied Mechanics and Engineering, vol. 198, no. 15-16, pp. 1351–1359, 2009.
  125. Traveling wavefronts for a two-species predator-prey system with diffusion terms and stage structure,Applied Mathematical Modelling, vol. 33, no. 3, pp. 1356–1365, 2009.
  126. The convergence of a new parallel algorithm for the Navier-Stokes equationsNonlinear Analysis: Real World Applications, vol. 10, no. 1, pp. 23–41, 2009.
  127. Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equationNumerical Methods for Partial Differential Equations, vol. 24, no. 6, pp. 1485–1500, 2008.
  128. Asymptotic behavior of linearized viscoelastic flow problemDiscrete and Continuous Dynamical Systems - Series B, vol. 10, no. 4, pp. 843–856, 2008.
  129. A penalty finite volume method for the transient Navier-Stokes equationsApplied Numerical Mathematics, vol. 58, no. 11, pp. 1583–1613, 2008.
  130. A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equationsApplied Numerical Mathematics, vol. 58, no. 10, pp. 1503–1514, 2008.
  131. The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial dataMathematics of Computation, vol. 77, no. 264, pp. 2097–2124, 2008.
  132. A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equationsApplied Mathematics and Computation, vol. 202, no. 2, pp. 700–707, 2008.
  133. The existence of global attractors for semilinear parabolic equation in Hk spacesNonlinear Analysis, Theory, Methods and Applications, vol. 68, no. 11, pp. 3541–3549, 2008.
  134. Interactions between two rarefaction waves for the pressure-gradient equations in the gas dynamics,Applied Mathematics and Computation, vol. 199, no. 1, pp. 231–241, 2008.
  135. Local and parallel finite element algorithms for the stokes problemNumerische Mathematik, vol. 109, no. 3, pp. 415–434, 2008.
  136. A stabilized finite element method based on two local Gauss integrations for the Stokes equations,Journal of Computational and Applied Mathematics, vol. 214, no. 1, pp. 58–65, 2008.
  137. Diffusion effect and stability analysis of a predator-prey system described by a delayed reaction-diffusion equationsJournal of Mathematical Analysis and Applications, vol. 339, no. 2, pp. 1432–1450, 2008.
  138. A simplified two-level method for the steady Navier-Stokes equationsComputer Methods in Applied Mechanics and Engineering, vol. 197, no. 17-18, pp. 1568–1576, 2008.
  139. The numerical rank of a matrix and its applicationsApplied Mathematics and Computation, vol. 196, no. 1, pp. 416–421, 2008.
  140. Global existence of solutions of a nonlinear degenerate parabolic problemJournal of Physics: Conference Series, vol. 96, no. 1, 2008.
  141. Stability of a predator-prey system with diffusion and stage structureDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 15, no. 1, pp. 53–75, 2008.
  142. Stability and error analysis for spectral Galerkin method for the Navier-Stokes equations with L2 initial dataNumerical Methods for Partial Differential Equations, vol. 24, no. 1, pp. 79–103, 2008.
  143. Stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equationsSIAM Journal on Numerical Analysis, vol. 45, no. 2, pp. 837–869, 2007.
  144. Global Ln strong solutions to magneto-hydro-dynamics equations in the n spaceDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 14, no. 6, pp. 805–835, 2007.
  145. A new stabilized finite element method for the transient Navier-Stokes equationsComputer Methods in Applied Mechanics and Engineering, vol. 197, no. 1-4, pp. 22–35, 2007.
  146. Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem,Numerical Methods for Partial Differential Equations, vol. 23, no. 5, pp. 1167–1191, 2007.
  147. A multi-level discontinuous Galerkin method for solving the stationary Navier-Stokes equations,Nonlinear Analysis, Theory, Methods and Applications, vol. 67, no. 5, pp. 1403–1411, 2007.
  148. Reformed post-processing Galerkin method for the Navier-stokes equationsDiscrete and Continuous Dynamical Systems - Series B, vol. 8, no. 2, pp. 369–387, 2007.
  149. The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem,Journal of Computational and Applied Mathematics, vol. 205, no. 1, pp. 651–665, 2007.
  150. Stability and bifurcation for a kind of nonlinear delayed differential equationsApplied Mathematics and Computation, vol. 190, no. 1, pp. 677–685, 2007.
  151. A multi-level stabilized finite element method for the stationary Navier-Stokes equationsComputer Methods in Applied Mechanics and Engineering, vol. 196, no. 29-30, pp. 2852–2862, 2007.
  152. On large time-stepping methods for the Cahn-Hilliard equationApplied Numerical Mathematics, vol. 57, no. 5-7 SPEC. ISS., pp. 616–628, 2007.
  153. Analysis of finite element approximations of a phase field model for two-phase fluidsMathematics of Computation, vol. 76, no. 258, pp. 539–571, 2007.
  154. High order iterative methods without derivatives for solving nonlinear equationsApplied Mathematics and Computation, vol. 186, no. 2, pp. 1617–1623, 2007.
  155. Superconvergence of discontinuous Galerkin finite element method for the stationary Navier-Stokes equationsNumerical Methods for Partial Differential Equations, vol. 23, no. 2, pp. 421–436, 2007.
  156. Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equationsMathematics of Computation, vol. 76, no. 257, pp. 115–136, 2007.
  157. A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup conditionApplied Mathematics and Computation, vol. 182, no. 1, pp. 24–35, 2006.
  158. Multi-level spectral Galerkin method for the Navier-Stokes equations, II: Time discretizationAdvances in Computational Mathematics, vol. 25, no. 4, pp. 403–433, 2006.
  159. Retraction to "Asymptotic behavior of the Navier-Stokes flow in a general 2D domain" [Appl. Math. Lett. 18 (2005) 1170-1176] (DOI:10.1016/j.aml.2005.02.005)Applied Mathematics Letters, vol. 19, no. 8, pp. 840, 2006.
  160. Local and parallel finite element algorithms for the Navier-Stokes problemJournal of Computational Mathematics, vol. 24, no. 3, pp. 227–238, 2006.
  161. Parametric iterative methods of second-order for solving nonlinear equationApplied Mathematics and Computation, vol. 173, no. 2, pp. 1060–1067, 2006.
  162. Stokes coupling method for the exterior flow Part IV: Stabilized finite element approximationApplied Mathematics and Computation, vol. 172, no. 2 SPEC. ISS., pp. 1225–1238, 2006.
  163. Stabilized finite element method for the non-stationary navier-stokes problemDiscrete and Continuous Dynamical Systems - Series B, vol. 6, no. 1, pp. 41–68, 2006.
  164. A multilevel finite element method in space-time for the Navier-Stokes problemNumerical Methods for Partial Differential Equations, vol. 21, no. 6, pp. 1052–1078, 2005.
  165. Asymptotic behavior of the Navier-Stokes flow in a general 2D domainApplied Mathematics Letters, vol. 18, no. 10, pp. 1170–1176, 2005.
  166. Multi-level spectral galerkin method for the navier-stokes problem I : Spatial discretizationNumerische Mathematik, vol. 101, no. 3, pp. 501–522, 2005.
  167. Stability and error analysis for a spectral Galerkin method for the Navier-Stokes equations with H2 or H1 initial dataNumerical Methods for Partial Differential Equations, vol. 21, no. 5, pp. 875–904, 2005.
  168. Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equationsMathematics of Computation, vol. 74, no. 251, pp. 1201–1216, 2005.
  169. Two-level stabilized finite element methods for the steady Navier-Stokes problemComputing (Vienna/New York), vol. 74, no. 4, pp. 337–351, 2005.
  170. Using divergence free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations,Applied Mathematics and Computation, vol. 163, no. 2, pp. 593–607, 2005.
  171. Stabilized finite-element method for the stationary Navier-Stokes equationsJournal of Engineering Mathematics, vol. 51, no. 4, pp. 367–380, 2005.
  172. Taylor expansion method for nonlinear evolution equationsApplied Mathematics and Mechanics (English Edition), vol. 26, no. 4, pp. 522–529, 2005.
  173. Oseen coupling method for the exterior flow. Part II: Well-posedness analysisMathematical Methods in the Applied Sciences, vol. 27, no. 17, pp. 2027–2044, 2004.
  174. Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem,Numerische Mathematik, vol. 98, no. 4, pp. 647–673, 2004.
  175. Fully discrete postprocessing Galerkin method for the Navier-Stokes equationsDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 11, no. 5-6, pp. 615–630, 2004.
  176. Uniform stability of spectral nonlinear Galerkin methodsNumerical Methods for Partial Differential Equations, vol. 20, no. 5, pp. 723–741, 2004.
  177. Numerical analysis of a modified finite element nonlinear Galerkin methodNumerische Mathematik, vol. 97, no. 4, pp. 725–756, 2004.
  178. A Conjecture on Fixed-Point Indices of Mappings in ConesApplied Mathematics Letters, vol. 17, no. 1, pp. 25–30, 2004.
  179. A two-level finite element Galerkin method for the nonstationary Navier-Stokes equations - II: Time discretizationJournal of Computational Mathematics, vol. 22, no. 1, pp. 33–54, 2004.
  180. A two-level finite element Galerkin method for the nonstationary Navier-Stokes equations - I: Spatial discretizationJournal of Computational Mathematics, vol. 22, no. 1, pp. 21–32, 2004.
  181. An Optimal Nonlinear Galerkin Method with Mixed Finite Elements for the Steady Navier-Stokes EquationsNumerical Methods for Partial Differential Equations, vol. 19, no. 6, pp. 762–775, 2003.
  182. Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equationsSIAM Journal on Numerical Analysis, vol. 41, no. 4, pp. 1263–1285, 2003.
  183. Finite element approximation for the viscoelastic fluid motion problemJournal of Computational and Applied Mathematics, vol. 155, no. 2, pp. 201–222, 2003.
  184. On the convergence of viscoelastic fluid flows to a steady stateAdvances in Differential Equations, vol. 7, no. 6, pp. 717–742, 2002.
  185. Coupling boundary integral and finite element methods for the Oseen coupled problemComputers and Mathematics with Applications, vol. 44, no. 10-11, pp. 1413–1429, 2002.
  186. Stability of Galerkin and Inertial Algorithms with variable time step sizeJournal of Computational and Applied Mathematics, vol. 146, no. 2, pp. 213–230, 2002.
  187. Stokes coupling method for the ecterior flow. Part III: RegularityProgress in Natural Science, vol. 11, no. 10, pp. 744–745, 2001.
  188. Global finite element nonlinear Galerkin method for the penalized Navier-Stokes equationsJournal of Computational Mathematics, vol. 19, no. 6, pp. 607–616, 2001.
  189. L1 decay estimates for dissipative wave equationsMathematical Methods in the Applied Sciences, vol. 24, no. 5, pp. 319–338, 2001.
  190. Oseen Coupling Method for the Exterior Flow Part I: Oseen Coupling ApproximationActa Mathematica Sinica, English Series, vol. 16, no. 2, pp. 337–348, 2000.
  191. Stability and convergence for the reform postprocessing Galerkin method *Nonlinear Analysis: Real World Applications, vol. 1, no. 4, pp. 517–533, 2000.
  192. Stokes coupling method for the exterior flow part I: Approximate accuracyActa Mathematicae Applicatae Sinica, vol. 15, no. 3, pp. 333–336, 1999.
  193. Finite element nonlinear galerkin coupling method for the exterior steady navier-stokes problem,Journal of Computational Mathematics, vol. 17, no. 6, pp. 595–608, 1999.
  194. A modified nonlinear Galerkin method for the viscoelastic fluid motion equationsInternational Journal of Engineering Science, vol. 37, no. 13, pp. 1643–1662, 1999.
  195. Nonlinear Galerkin method and Crank-Nicolson method for viscous incompressible flowJournal of Computational Mathematics, vol. 17, no. 2, pp. 139–158, 1999.
  196. The coupling of boundary integral and finite element methods for the exterior steady Oseen problem,Computers and Mathematics with Applications, vol. 37, no. 2, pp. 27–40, 1999.
  197. The Coupling of Boundary Integral and Finite Element Methods for the Nonstationary Exterior Flow,Numerical Methods for Partial Differential Equations, vol. 14, no. 5, pp. 549–565, 1998.
  198. Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations,Numerische Mathematik, vol. 79, no. 1, pp. 77–106, 1998.
  199. Nonlinear Galerkin approximation of the two dimensional exterior Navier-Stokes problemDiscrete and Continuous Dynamical Systems, vol. 2, no. 4, pp. 467–482, 1996.
  200. Stokes coupling method for the exterior flow part II: Well-posedness analysisActa Mathematica Scientia, vol. 16, no. 4, pp. 442–457, 1996.

 

 

 

 

 ​​​​​​​

教育经历

A: Shaanxi Normal University (1978-1982), Major: Mathematics; Degree: B.S.

B: Xi'an Jiaotong University (1983-1986), Major: Computational Mathematics,

Degree: M.S.

C: Xi'an Jiaotong University (1989-1992), Major: Computational Fluid Dynamics,

 Degree: Ph.D

讲授课程

Linear Algebra; Advanced Calculs;

Distribution and Sobolev Space;

Mathematical Physics Equations;

  Nonlinear Problem and Numerical Analysis;

  Mathematical Physics Problems in Continuous Field;

  Partial Differential Equations.

工作经历

Yinnian He

Xi'an Jiaotong University, China

Yinnian He is a Professor of Mathematics, born in Xi'an, China (July 28, 1953). He received a B.S. degree in mathematics from Shaanxi Normal University in China in 1982; M.S. degree in mathematics from Xi'an Jiaotong University in China in 1985; Ph.D degree in fluid mechanics from Xi’an Jiaotong University in China in 1992. His postdoctoral experience include being with Eindhoven University of Technology, The Netherlands (February 1997 to March 1998). He visited the University of Alberta, Canada (April 2000 to July 2000); City University of Hong Kong, Baptist University, Hong Kong (2001, 2004, 2005, 2006); Indiana University, Ind, USA (2002); The University of Tennessee, Tenn, USA(2003); The University of Kansas, Kan, USA (2008). He is an Advisory Editor of the Journal of Numerical Methods and Computer Applications, the Chinese Journal of Computational Physics, and Numer Math: A Jounal of Chinese Universities. He is currently with the school of  Mathematics and Statistics,  Xi'an Jiaotong University, Xi'an, China.

 

联系方式

​​​​​​​
 

Emailheyn@mail.xjtu.edu.cn

Address:  School of Mathematics and Statistics, Xi'an Jiaotong University,
Xi'an 710049, P.R. China​​​​​​​