A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion

DOI10.1137/21M1443297zbMath1492.65073arXiv2108.13468OpenAlexW3197819860MaRDI QIDQ5071435

Niall Madden, Scott MacLachlan, Thái Anh Nhan

Publication date: 21 April 2022

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.13468

zbMATH Keywords

domain decompositionpreconditioningmultigrid methodssingularly perturbed differential equationsstable finite-difference discretization

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Uses Software

• UMFPACK

Cites Work

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• A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems
• Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh
• Algorithm 832
• A note on the conditioning of upwind schemes on Shishkin meshes
• Some numerical experiments with multigrid methods on Shishkin meshes

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