Preconditioning and uniform convergence for convection-diffusion problems discretized on Shishkin-type meshes

DOI10.1155/2016/2161279zbMath1422.65128OpenAlexW2296471397WikidataQ59123142 ScholiaQ59123142MaRDI QIDQ1750811

Thái Anh Nhan, Relja Vulanović

Publication date: 23 May 2018

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/2161279

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (7)

Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems ⋮ Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning ⋮ The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems ⋮ Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh ⋮ A note on a generalized Shishkin-type mesh ⋮ A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems ⋮ A Uniform Convergence Analysis for a Bakhvalov-Type Mesh with an Explicitly Defined Transition Point

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