Supercloseness analysis of the linear finite element method for a singularly perturbed convection-diffusion problem on Vulanović-Bakhvalov mesh

DOI10.1016/j.aml.2023.108860MaRDI QIDQ6066889

Xiaoqi Ma, Xiao-Wei Liu, Changliang Yan, Shasha Liu

Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

finite element methodconvection-diffusion equationsuperclosenessVulanović-Bakhvalov mesh

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D
• High-order finite element method on a Vulanović-Bakhvalov mesh for a singularly perturbed convection-diffusion problem
• Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes
• High-order finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion problem with two parameters
• Superconvergence of finite element method for singularly perturbed convection-diffusion equations in 1D
• Supercloseness and postprocessing for linear finite element method on Bakhvalov-type meshes
• Fitted Numerical Methods For Singular Perturbation Problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems
• Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh

This page was built for publication: Supercloseness analysis of the linear finite element method for a singularly perturbed convection-diffusion problem on Vulanović-Bakhvalov mesh