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A streamline diffusion finite element method on a shishkin mesh for a convection-diffusion problem

Rendiconti del Seminario Matematico e Fisico di Milano, 1994
A model of the time-dependent convection-diffusion problem whose solution may exhibit interior and boundary layers is considered. The standard streamline diffusion scheme, with piecewise linear elements on a uniform mesh for such a problem is convergent only at points that are not close to any layer. The main of the paper is to replace the uniform mesh
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The finite volume element method on the Shishkin mesh for a singularly perturbed reaction–diffusion problem

Computers and Mathematics With Applications, 2021
Xiangyun Meng, Yonghai Li
exaly

Convergence and supercloseness of a finite element method for a two-parameter singularly perturbed problem on Shishkin triangular mesh

Applied Mathematics and Computation, 2022
Yanhui Lv, Jin Zhang
exaly

Supercloseness in a balanced norm of finite element methods on Shishkin and Bakhvalov–Shishkin rectangular meshes for reaction–diffusion problems

Mathematical Methods in the Applied Sciences, 2022
Xiaowei Liu, Jin Zhang
exaly

Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh in 2D

Computers and Mathematics With Applications, 2023
Xiaoqi Ma
exaly

Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh

Mathematical Methods in the Applied Sciences, 2023
Xiaoqi Ma
exaly

AN EXTRAPOLATION TECHNIQUE FOR A SINGULARLY PERTURBED PROBLEM ON A SHISHKIN MESH

Proceedings of the Third Asian Mathematical Conference 2000, 2002
M.C. NATIVIDAD, M. STYNES
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