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| 1 | LOCAL AND PARALLEL FINITE ELEMENT ALGORITHMS FOR THE NAVIER-STOKES PROBLEM显示文摘基于二格子的 discretizations,在这篇论文,某新本地人和平行有限元素算法为静止不可压缩的 Navier-Stokesproblem 被建议并且分析。这些算法被为 Navier-Stokesproblem 的一个答案,低频率部件能被一个相对粗糙的格子接近很好,高频率部件能被某本地、平行的过程在一个好格子上计算的观察激发。为分析的一个主要技术工具是也在一般形状常规的格子上为有限元素答案在这篇论文被获得的一些本地先验的错误估计。 | Yinnian He Jinchao Xu Aihui Zhou | 2006 | Journal of Computational Mathematics2006，24，3： | 16 |
| 2 | A NEW STABILIZED SUBGRID EDDY VISCOSITY METHOD BASED ON PRESSURE PROJECTION AND EXTRAPOLATED TRAPEZOIDAL RULE FOR THE TRANSIENT NAVIER-STOKES EQUATIONS显示文摘我们由使用有限元素的最低的相等顺序的对基于为短暂海军司烧方程的压力设计和外推的 trapezoidal 统治考虑一个新 subgrid 旋涡粘性方法。计划稳定传送对流统治问题并且改善限制 inf 啜相容性稳定性。它包括为稳定的术语和计算为更高的顺序衍生物要求了的压力免费的参数有一些吸引人的特征。而且,它要求仅仅每时间从一个 Oseen 问题产生的线性系统的解决方案走并且有第二份订单时间的精确性。方法关于答案整齐完成最佳的精确性。[从作者抽象] | Minfu Feng Yanhong Bai Yinnian He Yanmei Qin | 2011 | Journal of Computational Mathematics2011，29，4： | 8 |
| 3 | A defect-correction method for unsteady conduction convection problems Ⅰ:spatial discretization显示文摘In this paper, a semi-discrete defect-correction mixed finite element method (MFEM) for solving the non-stationary conduction-convection problems in two dimension is presented. In this method, we solve the nonlinear equations with an added artificial viscosity term on a finite element grid and correct this solutions on the same grid using a linearized defect-correction technique. The stability and the error analysis are derived. The theory analysis shows that our method is stable and has a good convergence property. | SI ZhiYong HE YinNian WANG Kun | 2011 | Science China Mathematics2011，54，1： | 4 |
| 4 | The existence of global attractors for semilinear parabolic equation in Hk spaces显示文摘 | Song Lingyu He Yinnian Zhang Yindi | 2008 | Nonlinear Analysis2008，68，11： | 1 |
| 5 | A penalty finite volume method for the transient Navier-Stokes equations显示文摘 | HE Guoliang HE Yinnian CHEN Zhangxin | | 0，，11： | 1 |
| 6 | A penalty finite volume method for the transient Navier-Stokes equations显示文摘 | He Guoliang He Yinnian Chen Zhangxin | 2008 | Applied Numerical Mathematics2008，，58： | 1 |
| 7 | An Inf-Sup Stabilized Finite Element Method by Multiscale Functions for the Stokes Equations显示文摘In the paper,an inf-sup stabilized finite element method by multiscale functions for the Stokes equations is discussed.The key idea is to use a PetrovGalerkin approach based on the enrichment of the standard polynomial space for the velocity component with multiscale functions.The inf-sup condition for P_(1)-P_(0)triangular element(or Q_(1)-P_(0)quadrilateral element)is established.The optimal error estimates of the stabilized finite element method for the Stokes equations are obtained. | Zhihao Ge Yinnian He Lingyu Song | 2009 | Advances in Applied Mathematics and Mechanics2009，1，2： | 1 |
| 8 | A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations显示文摘 | He Yinnian Li Jian | 2008 | Appl Numer Math2008，58，： | 1 |
| 9 | A stabilized finite element method for the stationary Navier-Stokes equations显示文摘 | He Yinnian Wang Aiwen Mei Liquan | 2005 | Eng Math2005，51，： | 1 |
| 10 | A stabilized finite element method based on local Gauss integral technique for the stationary Navier-Stokes equations显示文摘 | Li Jian He Yinnian | 2008 | J Comp Appl Math2008，214，： | 1 |
| 11 | A new stabilized finite element method for the transient Navier-Stokes equations显示文摘 | Li Jian He Yinnian Chen Zhangxin | 2007 | Comp Meth Appl Mech Eng2007，197，： | 1 |
| 12 | Two-level stabilized finite element methods for the steady Navier-Stokes problem显示文摘 | He Yinnian Li Kaitai | 2005 | Computing2005，74，4： | 1 |
| 13 | A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation显示文摘 | Zhai Shuying Feng Xinlong He Yinnian | 2014 | Applied Mathematics and Computation2014，230，： | 1 |
| 14 | NONLINEAR GALERKIN METHOD FOR STEADYNONLINEAR DIFFERENTIAL EQUATIONS显示文摘A nonlinear Galerkin method using spectral expansions is presented for thesteady nonlinear partial differential equations. We prove the existence, uniqueness andconvergence of the numerical solution corresponding to this method. Compared with the usualGalerkin method, the nonlinear Galerkin method is simpler under the same convergenceaccuracy. | HE Yinnian LI Kaitai(Research Centre for Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, China) | 1997 | Systems Science and Mathematical Sciences1997，10，4： | 1 |
| 15 | The existence of global attractors for semilinear parabolic equation in wspaces显示文摘 | Song Lingyu He Yinnian Zhang Yindi | 2008 | Nonlinear Analysis2008，68，： | 1 |
| 16 | Global attractor of a modified Swift-Hohenberg equation in w spaces显示文摘 | Song Lingyu He Yinnian Ma Tian | 2010 | Nonlinear Analysis2010，72，： | 1 |
| 17 | A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations显示文摘 | He Yinnian Li Jian | 2008 | Appl Numer Math2008，58，10： | 1 |
| 18 | A stabilized finite element method for the stationary Navier-Stokes equations显示文摘 | He Yinnian Wang Aiwen Mei Liquan | 2005 | Eng Math2005，51，4： | 1 |
| 19 | A stabilized finite element method based on two local Gauss integral technique for the stationary Stokes equations显示文摘 | Li Jian He Yinnian | 2008 | J Comp Appl Math2008，214，1： | 1 |
| 20 | A new stabilized finite element method for the transient Navier-Stokes equations显示文摘 | Li Jian He Yinnian Chen Zhangxin | 2007 | Comp Meth Appl Mech Eng2007，197，4： | 1 |
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