Estimations of the discrete Green's function of the SDFEM on Shishkin triangular meshes for singularly perturbed problems with characteristic layers
Xiaowei Liu, Jin Zhang
TL;DR
This paper provides estimations of the discrete Green's function for the SDFEM on Shishkin meshes, aiding understanding of numerical solutions for singularly perturbed problems with characteristic layers.
Contribution
It introduces new estimations of the discrete Green's function for SDFEM on Shishkin meshes, specifically addressing problems with characteristic layers.
Findings
Estimations improve understanding of SDFEM behavior.
Results demonstrate effectiveness on singularly perturbed problems.
Provides theoretical bounds for Green's function.
Abstract
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 singularly perturbed problems with characteristic layers.
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 · Advanced Mathematical Modeling in Engineering · Material Science and Thermodynamics