3 papers
math.NA2020
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…
math.NA2020
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…
math.NA2020
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…