8 citations · 19 across the 8 of their papers we have counts for
8 papers
Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations
Yinnian He, Weizhang Huang
Mesh sensitivity of finite element solution for linear elliptic partial differential equations is analyzed. A bound for the change in the finite element solution is obtained in ter…
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
Di Yang, Yinnian He
In this work, we develop a high-order pressure-robust method for the rotation form of the stationary incompressible Navier-Stokes equations. The original idea is to change the velo…
A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes
Di Yang, Yinnian He
In this article, using the weighted discrete least-squares, we propose a patch reconstruction finite element space with only one degree of freedom per element. As the approximation…
On the solution of the coupled steady-state dual-porosity-Navier-Stokes fluid flow model with the Beavers-Joseph-Saffman interface condition
Di Yang, Yinnian He, Luling Cao
In this work, we propose a new analysis strategy to establish an a priori estimate of the weak solutions to the coupled steady-state dual-porosity-Navier-Stokes fluid flow model wi…
Decoupled Modified Characteristic Finite Element Method with Different Subdomain Time Steps for Nonstationary Dual-Porosity-Navier-Stokes Model
Luling Cao, Yinnian He, Jian Li
In this paper, we develop the numerical theory of decoupled modified characteristic finite element method with different subdomain time steps for the mixed stabilized formulation o…
A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation
Leilei Wei, Yinnian He
The tempered fractional diffusion equation could be recognized as the generalization of the classic fractional diffusion equation that the truncation effects are included in the bo…
A posteriori error analysis for finite element solution of elliptic differential equations using equidistributing meshes
Yinnian He, Weizhang Huang
The paper is concerned with the adaptive finite element solution of linear elliptic differential equations using equidistributing meshes. A strategy is developed for defining this…
Analysis of Fully Discrete Finite Element Methods for a System of Differential Equations Modeling Swelling Dynamics of Polymer Gels
Xiaobing Feng, Yinnian He
The goal of this paper is to develop and analyze some fully discrete finite element methods for a displacement-pressure model modeling swelling dynamics of polymer gels under mecha…