23 citations · 30 across the 19 of their papers we have counts for
19 papers
Pressure-robust optimally convergent H(div) finite element method without the commuting diagram property for the steady Oseen equations
Jin Zhang, Xiaowei Liu
This work develops a convergence theory for H(div)-conforming finite element methods applied to the steady Oseen problem, focusing on cases where the exact finite element complex h…
Supercloseness of the LDG method for a two-dimensional singularly perturbed convection-diffusion problem on Bakhvalov-type mesh
Chunxiao Zhang, Jin Zhang, Wenchao Zheng
In this paper, we focus on analyzing the supercloseness property of a two-dimensional singularly perturbed convection-diffusion problem with exponential boundary layers. The local…
Uniform convergence of finite element method on Bakhvalov-type mesh for a 2-D singularly perturbed convection-diffusion problem with exponential layers
Jin Zhang, Chunxiao Zhang
On Bakhvalov-type mesh, uniform convergence analysis of finite element method for a 2-D singularly perturbed convection-diffusion problem with exponential layers is still an open p…
Supercloseness of finite element method for a singularly perturbed convection-diffusion problem on Bakhvalov-type mesh in 2D
Chunxiao Zhang, Jin Zhang
For singularly perturbed convection-diffusion problems, supercloseness analysis of finite element method is still open on Bakhvalov-type meshes, especially in the case of 2D. The d…
Supercloseness analysis of the nonsymmetric interior penalty Galerkin method on Bakhvalov-type mesh
Xiaoqi Ma, Jin Zhang
In this paper, we study the convergence of the nonsymmetric interior penalty Galerkin (NIPG) method on a Bakhvalov-type mesh for the first time. For this purpose, a new composite i…
Uniform convergence of optimal order under a balanced norm of a local discontinuous Galerkin method on a Shishkin mesh
Jin Zhang, Wenchao Zheng
For singularly perturbed reaction-diffusion problems in 1D and 2D, we study a local discontinuous Galerkin (LDG) method on a Shishkin mesh. In these cases, the standard energy norm…
Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh
Jin Zhang, Xiaoqi Ma
In this paper, we analyze the supercloseness result of nonsymmetric interior penalty Galerkin (NIPG) method on Shishkin mesh for a singularly perturbed convection diffusion problem…
Finite element method for singularly perturbed problems with two parameters on a Bakhvalov-type mesh in 2D
Jin Zhang, Yanhui Lv
For a singularly perturbed elliptic model problem with two small parameters, we analyze finite element methods of any order on a Bakhvalov-type mesh. For convergence analysis, we c…
Convergence of a finite element method on a Bakhvalov-type mesh for a singularly perturbed convection--diffusion equation in 2D
Jin Zhang, Xiaowei Liu
A finite element method of any order is applied on a Bakhvalov-type mesh to solve a singularly perturbed convection--diffusion equation in 2D, whose solution exhibits exponential b…
Convergence and supercloseness in a balanced norm of finite element methods on Bakhvalov-type meshes for reaction-diffusion problems
Jin Zhang, Xiaowei Liu
In convergence analysis of finite element methods for singularly perturbed reaction--diffusion problems, balanced norms have been successfully introduced to replace standard energy…
Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes
Jin Zhang, Xiaowei Liu
We propose a new analysis of convergence for a th order () finite element method, which is applied on Bakhvalov-type meshes to a singularly perturbed two-point boundary…
Estimations of the discrete Green's function of the SDFEM on Shishkin triangular meshes for singularly perturbed problems with characteristic layers
Xiaowei Liu, Jin Zhang
In this technical report, we present estimations of the discrete Green's function of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes for singul…
Estimations of the discrete Green's function of the SDFEM on Shishkin triangular meshes for problems with only exponential layers
Jin Zhang
In this technical report, we present estimations of the discrete Green's function of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes for proble…
Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers
Jin Zhang, Xiaowei Liu
In this paper, we analyze the supercloseness property of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes, which is different from one in the ca…
Analysis of the SDFEM in a modified streamline diffusion norm for singularly perturbed convection diffusion problems
Jin Zhang, Xiaowei Liu
In this paper we consider a model singularly perturbed convection diffusion problem which is solved by a streamline diffusion finite element method (SDFEM) on a Shishkin rectangula…
Analysis of SDFEM on Shishkin triangular meshes and hybrid meshes for problems with characteristic layers
Jin Zhang, Xiaowei Liu
In this paper, we analyze the streamline diffusion finite element method (SDFEM) for a model singularly perturbed convection-diffusion equation on a Shishkin triangular mesh and hy…
Discrete Green functions of the SDFEM on Shishkin triangular meshes
Jin Zhang
We propose estimates of the discrete Green function for the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes.
A note of "pointwise estimates of the SDFEM for convection--diffusion problems with characteristic layers"
Jin Zhang
We propose some useful estimates for the pointwise error estimates of the streamline diffusion finite element method (SDFEM) on Shishkin meshes, when SDFEM is applied for problems…
A note of pointwise estimates on Shishkin meshes
Jin Zhang
We propose the estimates of the discrete Green function for the stream- line diffusion finite element method (SDFEM) on Shishkin meshes.