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7 Result(s)

within Yinnian He Remove this filter Mathematical Methods in Physics Remove this filter Mathematical and Computational Engineering Remove this filter Numerical Analysis Remove this filter Numerical and Computational Physics, Simulation Remove this filter

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    Article

    Euler implicit/explicit iterative scheme for the stationary Navier–Stokes equations

    In this paper, a new uniqueness assumption (A2) of the solution for the stationary Navier–Stokes equations is presented. Under assumption (A2), the exponential stability of the solution

    Yinnian He in Numerische Mathematik (2013)

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    Article

    A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier–Stokes equations

    This paper proposes and analyzes a stabilized multi-level finite volume method (FVM) for solving the stationary 3D Navier–Stokes equations by using the lowest equal-order finite element pair without relying on...

    Jian Li, Zhangxin Chen, Yinnian He in Numerische Mathematik (2012)

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    Article

    Local and parallel finite element algorithms for the stokes problem

    Based on two-grid discretizations, some local and parallel finite element algorithms for the Stokes problem are proposed and analyzed in this paper. These algorithms are motivated by the observation that for a...

    Yinnian He, **chao Xu, Aihui Zhou, Jian Li in Numerische Mathematik (2008)

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    Article

    Multi-level spectral galerkin method for the navier-stokes problem I : spatial discretization

    A multi-level spectral Galerkin method for the two-dimensional non-stationary Navier-Stokes equations is presented. The method proposed here is a multiscale method in which the fully nonlinear Navier-Stokes eq...

    Yinnian He, Kam-Moon Liu, Weiwei Sun in Numerische Mathematik (2005)

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    Article

    Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem

    The asymptotic behavior and the Euler time discretization analysis are presented for the two-dimensional non-stationary Navier-Stokes problem. If the data ν and f(t) satisfy a...

    Yinnian He, Kaitai Li in Numerische Mathematik (2004)

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    Article

    Numerical analysis of a modified finite element nonlinear Galerkin method

    A fully discrete modified finite element nonlinear Galerkin method is presented for the two-dimensional equation of Navier-Stokes type. The spatial discretization is based on two finite element spaces X ...

    Yinnian He, Huanling Miao, R.M.M. Mattheij, Zhangxin Chen in Numerische Mathematik (2004)

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    Article

    Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations

    In this article, we present a new fully discrete finite element nonlinear Galerkin method, which are well suited to the long time integration of the Navier-Stokes equations. Spatial discretization is based on...

    Yinnian He, Kaitai Li in Numerische Mathematik (1998)