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

DOI10.1553/etna_vol51s315zbMath1431.65115OpenAlexW2974797593WikidataQ127233352 ScholiaQ127233352MaRDI QIDQ5218396

Thái Anh Nhan, Relja Vulanović

Publication date: 3 March 2020

Published in: ETNA - Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol51/abstract.php?vol=51&pages=315-330

zbMATH Keywords

singular perturbationuniform convergenceboundary-value problemfinite differencesconvection-diffusionBakhvalov-type meshes

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) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (10)

An improved Kellogg-Tsan solution decomposition in numerical methods for singularly perturbed convection-diffusion problems ⋮ A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion ⋮ Supercloseness analysis of the linear finite element method for a singularly perturbed convection-diffusion problem on Vulanović-Bakhvalov mesh ⋮ Analysis of a second-order hybrid scheme on Bakhvalov-type meshes: the truncation-error and barrier-function approach ⋮ Uniform convergence analysis of the BDF2 scheme on Bakhvalov-type meshes for a singularly perturbed Volterra integro-differential equation ⋮ Richardson extrapolation method for 2D-SPP on VB mesh singularly perturbed convection-diffusion problem on a Vulanović-Bakhvalov mesh ⋮ The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems ⋮ A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems ⋮ High-order finite element method on a Vulanović-Bakhvalov mesh for a singularly perturbed convection-diffusion problem ⋮ A Uniform Convergence Analysis for a Bakhvalov-Type Mesh with an Explicitly Defined Transition Point

Cites Work

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