Convergence of a finite element method on a Bakhvalov-type mesh for a singularly perturbed convection–diffusion equation in 2D

11/11/2020
by   Jin Zhang, et al.
0

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 boundary layers. A uniform convergence of (almost) optimal order is proved by means of a carefully defined interpolant.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/28/2020

Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes

We propose a new analysis of convergence for a kth order (k> 1) finite e...
research
01/13/2020

A convection-diffusion problem with a small variable diffusion coefficient

Consider a singularly perturbed convection-diffusion problem with small,...
research
06/22/2023

A balanced finite-element method for an axisymmetrically loaded thin shell

We analyse a finite-element discretisation of a differential equation de...
research
03/26/2020

φ-FEM, a finite element method on domains defined by level-sets: the Neumann boundary case

We extend a fictitious domain-type finite element method, called ϕ-FEM a...
research
09/21/2023

Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations

We propose a novel efficient and robust Wavelet-based Edge Multiscale Fi...
research
03/27/2019

Numerical modeling of neutron transport in SP3 approximation by finite element method

The SP3 approximation of the neutron transport equation allows improving...

Please sign up or login with your details

Forgot password? Click here to reset