Discrete Green functions of the SDFEM on Shishkin triangular meshes
Jin Zhang
TL;DR
This paper provides estimates of the discrete Green function for the SDFEM applied on Shishkin triangular meshes, enhancing understanding of the method's stability and accuracy in singularly perturbed problems.
Contribution
It introduces new estimates of the discrete Green function specifically for SDFEM on Shishkin triangular meshes, which was not previously analyzed.
Findings
Provides bounds for the discrete Green function on Shishkin meshes
Improves understanding of SDFEM stability in singular perturbation problems
Enhances error analysis for finite element methods on complex meshes
Abstract
We propose estimates of the discrete Green function for the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Advanced Numerical Methods in Computational Mathematics · Material Science and Thermodynamics