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Local Projection Stabilization Method of Convective-Diffusion Problem on Shishkin Triangular Mesh
Shasha Liu, Xiaowei Liu
32 - 40
10.3233/ATDE230937
Research Article
Advances in Transdisciplinary Engineering
Volume 42: Applied Mathematics, Modeling and Computer Simulation
Abstract

In this paper, a singularly perturbed convection-diffusion problem with exponential boundary layers is considered. For this problems, we study a local projection stabilization method on a Shishkin triangular mesh. If piecewise polynomials of order r ≥ 1 are used, the method has uniform convergence of almost order r in the energy norm.

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