Yinnian He
Orcid: 0000-0003-3402-8493
According to our database1,
Yinnian He
authored at least 111 papers
between 2003 and 2023.
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Bibliography
2023
Modified Characteristic Finite Element Method with Second-Order Spatial Accuracy for Solving Convection-Dominated Problem on Surfaces.
Entropy, December, 2023
The analogue of grad-div stabilization in DG method for a coupled Stokes and Darcy problem.
Comput. Math. Appl., November, 2023
Adv. Comput. Math., October, 2023
Finite element method for semi-linear elliptical equation with a 2<i>m</i> - 1 polynomial nonlinearity.
Comput. Math. Appl., June, 2023
SIAM J. Numer. Anal., February, 2023
A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential.
Commun. Nonlinear Sci. Numer. Simul., 2023
2022
New Optimized Robin-Robin Domain Decomposition Methods using Krylov Solvers for the Stokes-Darcy System.
SIAM J. Sci. Comput., August, 2022
A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations.
J. Sci. Comput., 2022
Uniform Stability and Convergence with Respect to (ν , μ , s, 1-σ ) of the Three Iterative Finite Element Solutions for the 3D Steady MHD Equations.
J. Sci. Comput., 2022
A Parallel Robin-Robin Domain Decomposition Method based on Modified Characteristic FEMs for the Time-Dependent Dual-porosity-Navier-Stokes Model with the Beavers-Joseph Interface Condition.
J. Sci. Comput., 2022
A strongly conservative finite element method for the coupled Stokes and dual-porosity model.
J. Comput. Appl. Math., 2022
Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule.
J. Comput. Appl. Math., 2022
Local tangential lifting virtual element method for the diffusion-reaction equation on the non-flat Voronoi discretized surface.
Eng. Comput., 2022
Entropy, 2022
Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model.
Commun. Nonlinear Sci. Numer. Simul., 2022
Comput. Methods Appl. Math., 2022
Analysis and computation of a pressure-robust method for the rotation form of the incompressible Navier-Stokes equations with high-order finite elements.
Comput. Math. Appl., 2022
Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model.
Comput. Math. Appl., 2022
Appl. Math. Comput., 2022
2021
Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation.
J. Sci. Comput., 2021
A weak Galerkin finite element method based on H(div) virtual element for Darcy flow on polytopal meshes.
J. Comput. Appl. Math., 2021
Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition.
J. Comput. Appl. Math., 2021
Entropy, 2021
Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations.
CoRR, 2021
Analysis and computation of a pressure-robust method for the rotation form of the stationary incompressible Navier-Stokes equations by using high-order finite elements.
CoRR, 2021
A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes.
Comput. Math. Appl., 2021
A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition.
Appl. Math. Lett., 2021
A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes.
Adv. Comput. Math., 2021
2020
J. Sci. Comput., 2020
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
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
Comput. Math. Appl., 2020
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
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
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
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
Numerische Mathematik, 2013
Numer. Algorithms, 2013
A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation.
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
Math. Comput. Model., 2011
On error estimates of the fully discrete penalty method for the viscoelastic flow problem.
Int. J. Comput. Math., 2011
Comput. Math. Appl., 2011
Comput. Math. Appl., 2011
2010
SIAM J. Numer. Anal., 2010
Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations.
J. Sci. Comput., 2010
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
Adv. Numer. Anal., 2009
2008
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
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
Appl. Math. Comput., 2007
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
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
Computing, 2005
Using divergence free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations.
Appl. Math. Comput., 2005
2004
Numerische Mathematik, 2004
Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem.
Numerische Mathematik, 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