Yanren Hou

Orcid: 0000-0002-3425-0433

According to our database1, Yanren Hou authored at least 58 papers between 2003 and 2023.

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

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Bibliography

2023
Analysis of an Embedded-Hybridized Discontinuous Galerkin Method for the Time-Dependent Incompressible Navier-Stokes Equations.
J. Sci. Comput., December, 2023

A priori error estimates of Crank-Nicolson finite element method for parabolic optimal control problems.
Comput. Math. Appl., August, 2023

Error analysis of a linear unconditionally energy-stable Leapfrog scheme for the Swift-Hohenberg equation.
Commun. Nonlinear Sci. Numer. Simul., June, 2023

An energy-stable second-order finite element method for the Swift-Hohenberg equation.
Comput. Appl. Math., February, 2023

Error estimates for the Scalar Auxiliary Variable (SAV) schemes to the modified phase field crystal equation.
J. Comput. Appl. Math., 2023

2022
Analysis of divergence-free 𝐻¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number.
Math. Comput., November, 2022

Error analysis of first- and second-order linear, unconditionally energy-stable schemes for the Swift-Hohenberg equation.
Comput. Math. Appl., 2022

Numerical analysis of two-grid decoupling finite element scheme for Navier-Stokes/Darcy model.
Comput. Math. Appl., 2022

Error estimate of a stabilized second-order linear predictor-corrector scheme for the Swift-Hohenberg equation.
Appl. Math. Lett., 2022

2021
A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model.
Numer. Algorithms, 2021

A Second Order Energy Stable BDF Numerical Scheme for the Swift-Hohenberg Equation.
J. Sci. Comput., 2021

A variable time-stepping algorithm for the unsteady Stokes/Darcy model.
J. Comput. Appl. Math., 2021

Robust error analysis of H(div)-conforming DG method for the time-dependent incompressible Navier-Stokes equations.
J. Comput. Appl. Math., 2021

Analysis of the local and parallel space-time algorithm for the heat equation.
Comput. Math. Appl., 2021

A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation.
Comput. Math. Appl., 2021

An equal-order hybridized discontinuous Galerkin method with a small pressure penalty parameter for the Stokes equations.
Comput. Math. Appl., 2021

2020
Well-Posedness and Finite Element Approximation for the Convection Model in Superposed Fluid and Porous Layers.
SIAM J. Numer. Anal., 2020

A second-order artificial compression method for the evolutionary Stokes-Darcy system.
Numer. Algorithms, 2020

New approach to prove the stability of a decoupled algorithm for a fluid-fluid interaction problem.
J. Comput. Appl. Math., 2020

Numerical analysis of a second order algorithm for a non-stationary Navier-Stokes/Darcy model.
J. Comput. Appl. Math., 2020

Expandable Local and Parallel Two-Grid Finite Element Scheme for the Stokes Equations.
CoRR, 2020

A variable timestepping algorithm for the unsteady Stokes/Darcy model.
CoRR, 2020

Numerical analysis of two grad-div stabilization methods for the time-dependent Stokes/Darcy model.
Comput. Math. Appl., 2020

Analysis of the parareal method with spectral deferred correction method for the Stokes/Darcy equations.
Appl. Math. Comput., 2020

2019
An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons.
Comput. Phys. Commun., 2019

On the solution of coupled Stokes/Darcy model with Beavers-Joseph interface condition.
Comput. Math. Appl., 2019

2018
Error estimates of a decoupled algorithm for a fluid-fluid interaction problem.
J. Comput. Appl. Math., 2018

A stabilized finite volume method for the evolutionary Stokes-Darcy system.
Comput. Math. Appl., 2018

2017
Numerical design of FSHL-based approximate cloaks with arbitrary shapes.
J. Comput. Phys., 2017

Numerical analysis of a second order algorithm for simplified magnetohydrodynamic flows.
Adv. Comput. Math., 2017

2016
Stability and Convergence Analysis of a Decoupled Algorithm for a Fluid-Fluid Interaction Problem.
SIAM J. Numer. Anal., 2016

Two-level methods for the Cahn-Hilliard equation.
Math. Comput. Simul., 2016

Local and parallel finite element methods for the mixed Navier-Stokes/Darcy model.
Int. J. Comput. Math., 2016

An expandable local and parallel two-grid finite element scheme.
Comput. Math. Appl., 2016

Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Stokes-Darcy model.
Appl. Math. Lett., 2016

2015
A two-grid decoupling method for the mixed Stokes-Darcy model.
J. Comput. Appl. Math., 2015

The partition of unity parallel finite element algorithm.
Adv. Comput. Math., 2015

2014
Adaptive dimension splitting algorithm for three-dimensional elliptic equations.
Int. J. Comput. Math., 2014

Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem.
Comput. Math. Appl., 2014

Subgrid stabilized defect-correction method for a steady-state natural convection problem.
Comput. Math. Appl., 2014

2013
Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials.
SIAM J. Numer. Anal., 2013

Adaptive Local Postprocessing Finite Element Method for the Navier-Stokes Equations.
J. Sci. Comput., 2013

2012
Variational multiscale method based on the Crank-Nicolson extrapolation scheme for the non-stationary Navier-Stokes equations.
Int. J. Comput. Math., 2012

Dimension splitting algorithm for a three-dimensional elliptic equation.
Int. J. Comput. Math., 2012

Immersed Interface Method for elliptic equations based on a piecewise second order polynomial.
Comput. Math. Appl., 2012

A two-level method in time and space for solving the Navier-Stokes equations based on Newton iteration.
Comput. Math. Appl., 2012

2011
Defect correction method for time-dependent viscoelastic fluid flow.
Int. J. Comput. Math., 2011

2010
A Posteriori Error Estimates of Stabilization of Low-Order Mixed Finite Elements for Incompressible Flow.
SIAM J. Sci. Comput., 2010

Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations.
J. Comput. Phys., 2010

A two-level correction method in space and time based on Crank-Nicolson scheme for Navier-Stokes equations.
Int. J. Comput. Math., 2010

A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation.
Appl. Math. Comput., 2010

2009
Postprocessing Fourier Galerkin Method for the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2009

A finite element variational multiscale method for incompressible flows based on two local gauss integrations.
J. Comput. Phys., 2009

A stabilized semi-implicit Galerkin scheme for Navier-Stokes equations.
J. Comput. Appl. Math., 2009

A fully discrete stabilized finite element method for the time-dependent Navier-Stokes equations.
Appl. Math. Comput., 2009

The global attractor of g-Navier-Stokes equations with linear dampness on R<sup>2</sup>.
Appl. Math. Comput., 2009

2006
Tangent space correction method for the Galerkin approximation based on two-grid finite element.
Appl. Math. Comput., 2006

2003
A Small Eddy Correction Method for Nonlinear Dissipative Evolutionary Equations.
SIAM J. Numer. Anal., 2003


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