Supercloseness and postprocessing for linear finite element method on Bakhvalov-type meshes

DOI10.1007/S11075-022-01353-4OpenAlexW4283742823MaRDI QIDQ2699985

Jin Zhang, Xiao-Wei Liu

Publication date: 20 April 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01353-4

zbMATH Keywords

singular perturbationfinite element methodconvection-diffusion equationsuperclosenessbakhvalov-type mesh

Mathematics Subject Classification ID

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)

Supercloseness of finite element method for a singularly perturbed convection-diffusion problem on Bakhvalov-type triangular meshes ⋮ Supercloseness analysis of the linear finite element method for a singularly perturbed convection-diffusion problem on Vulanović-Bakhvalov mesh ⋮ Supercloseness and post-processing of finite element method in a balanced norm for singularly perturbed reaction-diffusion equation ⋮ Supercloseness analysis of the nonsymmetric interior penalty Galerkin method for a singularly perturbed problem on Bakhvalov-type mesh ⋮ Uniform convergence of finite element method on Bakhvalov-type triangular mesh for a singularly perturbed problem featuring exponential layers ⋮ Supercloseness of weak Galerkin method on Bakhvalov-type mesh for a singularly perturbed problem in 1D

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