Two improved algorithms and implementation for a singularly perturbed problem on moving meshes

DOI10.1007/s11424-011-8138-9zbMath1338.93245OpenAlexW1984029746MaRDI QIDQ301019

Yin Yang, Yanping Chen, Qin Zhou

Publication date: 29 June 2016

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-011-8138-9

zbMATH Keywords

algorithmsingularly perturbed problemRichardson extrapolationmoving mesh methodequidistribution principle

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

A moving mesh method for singularly perturbed problems

Cites Work

• Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid
• The midpoint upwind scheme
• Layer-adapted meshes for convection-diffusion problems
• Uniform pointwise convergence for a singularly perturbed problem using arc-length equidistribution.
• Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
• Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence
• Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid
• Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem
• Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems
• Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
• A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem

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