23 citations · 30 across the 19 of their papers we have counts for
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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…