NANAApr 18, 2017

Estimations of the discrete Green's function of the SDFEM on Shishkin triangular meshes for problems with only exponential layers

arXiv:1704.054502 citationsh-index: 13
AI Analysis

Provides theoretical foundations for the SDFEM's performance on anisotropic meshes, benefiting numerical analysts working on singularly perturbed problems.

This report provides estimations of the discrete Green's function for the SDFEM on Shishkin triangular meshes, targeting convection-diffusion problems with exponential layers. The results establish theoretical bounds for the numerical method's stability and error analysis.

In this technical report, we present estimations of the discrete Green's function of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes for problems with only exponential layers.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

Your Notes