Yinnian He

According to our database1, Yinnian He authored at least 87 papers between 2003 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2021
Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation.
J. Sci. Comput., 2021

Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition.
J. Comput. Appl. Math., 2021

A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition.
Appl. Math. Lett., 2021

2020
A Discontinuous Galerkin Method for the Coupled Stokes and Darcy Problem.
J. Sci. Comput., 2020

A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem.
J. Sci. Comput., 2020

Crank-Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid-Fluid Interaction Problems.
J. Sci. Comput., 2020

Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients.
J. Sci. Comput., 2020

A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem.
J. Num. Math., 2020

A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes.
CoRR, 2020

Decoupled Modified Characteristic Finite Element Method with Different Subdomain Time Steps for Nonstationary Dual-Porosity-Navier-Stokes Model.
CoRR, 2020

A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation.
CoRR, 2020

A strongly conservative finite element method for the coupled Stokes-Biot Model.
Comput. Math. Appl., 2020

A parallel finite element method for incompressible magnetohydrodynamics equations.
Appl. Math. Lett., 2020

2019
Boundary element method for a free third boundary problem modeling tumor growth with spectral accuracy.
J. Comput. Appl. Math., 2019

A new multiscale finite element method for the 2D transient Navier-Stokes equations.
Int. J. Comput. Math., 2019

Stability and convergence of a finite element method for a semilinear elliptical problem with small viscosity.
Comput. Math. Appl., 2019

Stability and convergence of semi-implicit time-stepping algorithm for stationary incompressible magnetohydrodynamics.
Comput. Math. Appl., 2019

Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method.
Comput. Math. Appl., 2019

2018
Weak Galerkin Finite Element Methods for the Simulation of Single-Phase Flow in Fractured Porous Media.
J. Sci. Comput., 2018

Unconditional convergence and optimal L2 error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations.
Comput. Math. Appl., 2018

Fully discrete stabilized multiphysics finite element method for the polymer gel model.
Comput. Math. Appl., 2018

Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics.
Comput. Math. Appl., 2018

Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow.
Adv. Comput. Math., 2018

2017
Boundary element method for a free boundary problem modeling three dimensional tumor growth.
Comput. Math. Appl., 2017

2016
First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean.
SIAM J. Sci. Comput., 2016

A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes.
J. Comput. Appl. Math., 2016

Second order time-space iterative method for the stationary Navier-Stokes equations.
Appl. Math. Lett., 2016

2015
Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics.
J. Sci. Comput., 2015

$$H^2$$ H 2 -Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier-Stokes Equations.
J. Sci. Comput., 2015

Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics.
J. Sci. Comput., 2015

Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementation.
Comput. Math. Appl., 2015

An efficient two-step algorithm for the incompressible flow problem.
Adv. Comput. Math., 2015

2014
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation.
J. Comput. Phys., 2014

A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation.
Int. J. Comput. Math., 2014

Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method.
Comput. Phys. Commun., 2014

Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain.
Comput. Math. Appl., 2014

Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem.
Comput. Math. Appl., 2014

A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation.
Appl. Math. Comput., 2014

2013
Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations.
Numerische Mathematik, 2013

Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods.
Numer. Algorithms, 2013

A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation.
J. Sci. Comput., 2013

Two-Level Newton's Method for Nonlinear Elliptic PDEs.
J. Sci. Comput., 2013

Some iterative finite element methods for steady Navier-Stokes equations with different viscosities.
J. Comput. Phys., 2013

Multiscale enrichment of a finite volume element method for the stationary Navier-Stokes problem.
Int. J. Comput. Math., 2013

2012
A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations.
Numerische Mathematik, 2012

Fully discrete finite element method based on pressure stabilization for the transient Stokes equations.
Math. Comput. Simul., 2012

P 1-Nonconforming Quadrilateral Finite Volume Methods for the Semilinear Elliptic Equations.
J. Sci. Comput., 2012

Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations.
J. Comput. Phys., 2012

A defect-correction method for unsteady conduction-convection problems II: Time discretization.
J. Comput. Appl. Math., 2012

Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations.
Appl. Math. Comput., 2012

2011
The local discontinuous Galerkin finite element method for Burger's equation.
Math. Comput. Model., 2011

On error estimates of the fully discrete penalty method for the viscoelastic flow problem.
Int. J. Comput. Math., 2011

Homotopy analysis method for higher-order fractional integro-differential equations.
Comput. Math. Appl., 2011

Modified homotopy perturbation method for solving the Stokes equations.
Comput. Math. Appl., 2011

2010
Fully Discrete Finite Element Approximations of a Polymer Gel Model.
SIAM J. Numer. Anal., 2010

Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations.
J. Sci. Comput., 2010

Assessment of subgrid-scale models for the incompressible Navier-Stokes equations.
J. Comput. Appl. Math., 2010

A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations.
J. Comput. Appl. Math., 2010

Two-level stabilized finite element method for the transient Navier-Stokes equations.
Int. J. Comput. Math., 2010

A coupled Newton iterative mixed finite element method for stationary conduction-convection problems.
Computing, 2010

Blow-up and global solutions for a class of nonlinear parabolic equations with different kinds of boundary conditions.
Appl. Math. Comput., 2010

2009
Application of modified homotopy perturbation method for solving the augmented systems.
J. Comput. Appl. Math., 2009

Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs.
Computing, 2009

A Subgrid Model for the Time-Dependent Navier-Stokes Equations.
Adv. Numer. Anal., 2009

2008
Local and parallel finite element algorithms for the stokes problem.
Numerische Mathematik, 2008

The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data.
Math. Comput., 2008

Interactions between two rarefaction waves for the pressure-gradient equations in the gas dynamics.
Appl. Math. Comput., 2008

A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equations.
Appl. Math. Comput., 2008

The numerical rank of a matrix and its applications.
Appl. Math. Comput., 2008

2007
Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations.
SIAM J. Numer. Anal., 2007

Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations.
Math. Comput., 2007

Analysis of finite element approximations of a phase field model for two-phase fluids.
Math. Comput., 2007

Stability and bifurcation for a kind of nonlinear delayed differential equations.
Appl. Math. Comput., 2007

High order iterative methods without derivatives for solving nonlinear equations.
Appl. Math. Comput., 2007

2006
Retraction to "Asymptotic behavior of the Navier-Stokes flow in a general 2D domain" [Appl. Math. Lett 18 (2005) 1170-1176].
Appl. Math. Lett., 2006

A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition.
Appl. Math. Comput., 2006

Stokes coupling method for the exterior flow Part IV: stabilized finite element approximation.
Appl. Math. Comput., 2006

Parametric iterative methods of second-order for solving nonlinear equation.
Appl. Math. Comput., 2006

Multi-level spectral Galerkin method for the Navier-Stokes equations, II: time discretization.
Adv. Comput. Math., 2006

2005
Multi-level spectral galerkin method for the navier-stokes problem I : spatial discretization.
Numerische Mathematik, 2005

Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations.
Math. Comput., 2005

Two-level Stabilized Finite Element Methods for the Steady Navier-Stokes Problem.
Computing, 2005

Using divergence free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations.
Appl. Math. Comput., 2005

2004
Numerical analysis of a modified finite element nonlinear Galerkin method.
Numerische Mathematik, 2004

Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem.
Numerische Mathematik, 2004

A conjecture on fixed-point indices of mappings in cones.
Appl. Math. Lett., 2004

2003
Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations.
SIAM J. Numer. Anal., 2003


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