A note of "pointwise estimates of the SDFEM for convection--diffusion problems with characteristic layers"
Jin Zhang
TL;DR
This paper provides pointwise error estimates for the streamline diffusion finite element method (SDFEM) applied to convection-diffusion problems with characteristic layers, using Shishkin meshes to improve accuracy.
Contribution
It introduces new pointwise error estimates for SDFEM on Shishkin meshes specifically for problems with characteristic layers, enhancing understanding of method accuracy.
Findings
Improved error bounds for SDFEM on Shishkin meshes
Enhanced accuracy in problems with characteristic layers
Guidelines for applying SDFEM to convection-diffusion problems
Abstract
We propose some useful estimates for the pointwise error estimates of the streamline diffusion finite element method (SDFEM) on Shishkin meshes, when SDFEM is applied for problems of characteristic layers.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Advanced Numerical Methods in Computational Mathematics · Advanced Mathematical Modeling in Engineering