Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh

Authors

Thái Ahn Nhan, Santa Clara UniversityFollow
Relja Vulanović

Document Type

Article

Publication Date

2019

Publisher

Kent State University/Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM)

Abstract

We use a barrier-function technique to prove the parameter-uniform convergence for singularly perturbed convection-diffusion problems discretized on a Bakhvalov-type mesh. This is the first proof of this kind in the research literature, the barrier-function approach having only been applied so far to Shishkin-type meshes.

Comments

This journal provides immediate open access

Recommended Citation

T.A. Nhan and R. Vulanović (2019). Analysis of the truncation error and barrier function technique for a Bakhvalov-type mesh. ETNA 51, 315–330, DOI: 10.1553/etna_vol51s315