An analysis of the bilinear finite volume method for the singularly-perturbed convection-diffusion problems on Shishkin mesh

DOI10.1016/J.CAMWA.2024.08.023MaRDI QIDQ6647585

Tie Zhang, Ying Sheng

Publication date: 3 December 2024

Published in: Computers & Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityShishkin mesh\(\epsilon\)-uniform convergence\(\epsilon\)-perturbed convection-diffusion problembilinear finite volume method

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Analysis of SDFEM on Shishkin triangular meshes and hybrid meshes for problems with characteristic layers
• Superconvergence of finite volume element method for elliptic problems
• A uniform numerical method for quasilinear singular perturbation problems without turning points
• Singular perturbation methods for ordinary differential equations
• A uniformly accurate finite volume discretization for a convection-diffusion problem
• Multiple scale and singular perturbation methods
• Local projection methods on layer-adapted meshes for higher order discretisations of convection-diffusion problems
• Analysis of the SDFEM in a streamline diffusion norm for singularly perturbed convection diffusion problems
• Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
• Non-Equidistant Generalizations of the Gushchin-Shchennikov Scheme
• Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem
• Uniform Pointwise Convergence of an Upwind Finite Volume Method on Layer-Adapted Meshes
• Convergence analysis of the LDG method applied to singularly perturbed problems
• An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
• An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection-diffusion problems
• On adaptive mesh for the initial boundary value singularly perturbed delay Sobolev problems
• Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh in 2D

This page was built for publication: An analysis of the bilinear finite volume method for the singularly-perturbed convection-diffusion problems on Shishkin mesh

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6647585)