On a connection between layer-adapted exponentially graded and S-type meshes

TL;DR

This paper explores the relationship between exponentially graded and S-type meshes used in solving singularly perturbed problems, leading to a more general class of layer-adapted meshes.

Contribution

It establishes a connection between two mesh types and introduces a generalized class of layer-adapted meshes for improved numerical analysis.

Findings

Identifies a link between exponentially graded and S-type meshes.

Proposes a more flexible class of layer-adapted meshes.

Enhances understanding of mesh design for singular perturbations.

Abstract

In this short note we analyse a connection between the exponentially graded and the class of S-type meshes for singularly perturbed problems. As a by-product we obtain a slightly modified and more general class of layer-adapted meshes.