Error estimations in the balanced norm of finite element method on Bakhvalov-Shishkin triangular mesh for reaction-diffusion problems

DOI10.1016/J.AML.2021.107523OpenAlexW3178287839MaRDI QIDQ2236736

Min Yang, Xiao-Wei Liu

Publication date: 26 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107523

zbMATH Keywords

singular perturbationfinite element methodreaction-diffusion equationbalanced normBakhvalov-Shishkin

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

Analysis of finite element method in balanced norms for two-parameter singularly perturbed problems ⋮ Balanced-norm and energy-norm error analyses for a backward Euler/FEM solving a singularly perturbed parabolic reaction-diffusion problem ⋮ Supercloseness and post-processing of finite element method in a balanced norm for singularly perturbed reaction-diffusion equation ⋮ Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem ⋮ Supercloseness in a balanced norm of the NIPG method on Shishkin mesh for a reaction diffusion problem ⋮ Noise-related face image recognition based on double dictionary transform learning

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