Uniform convergence on a Bakhvalov-type mesh using the preconditioningapproach. Technical report

Authors

Thái Ahn Nhan, Santa Clara UniversityFollow
Relja Vulanović

Document Type

Other

Publication Date

2015

Abstract

The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation parameter.

Comments

This technical report is a supplement to:

Nhan, T. A., & Vulanović, R. (2016). Preconditioning and Uniform Convergence for Convection-Diffusion Problems Discretized on Shishkin-Type Meshes. Advances in Numerical Analysis, 2016, e2161279.

Recommended Citation

Nhan, T. A., & Vulanović, R. (2015). Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach. Technical report, arXiv:1504.0483.