A note of pointwise estimates on Shishkin meshes
Jin Zhang
TL;DR
This paper provides pointwise estimates of the discrete Green function for the stream-line diffusion finite element method on Shishkin meshes, aiding in understanding numerical stability and accuracy.
Contribution
It introduces new pointwise estimates of the discrete Green function specifically for SDFEM on Shishkin meshes, enhancing analysis of numerical methods for singularly perturbed problems.
Findings
Discrete Green function estimates improve understanding of SDFEM stability.
Enhanced error analysis for finite element methods on Shishkin meshes.
Potential for improved numerical solutions in singular perturbation problems.
Abstract
We propose the estimates of the discrete Green function for the stream- line diffusion finite element method (SDFEM) on Shishkin meshes.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsDifferential Equations and Numerical Methods · Differential Equations and Boundary Problems · Advanced Mathematical Modeling in Engineering