Parameter‐uniform numerical methods for singularly perturbed linear transport problems

DOI10.1002/mma.8446arXiv2107.12886MaRDI QIDQ6189744

A. Navas-Montilla, Eugene O'Riordan, José Luis Gracia

Publication date: 4 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12886

zbMATH Keywords

transport equationShishkin meshsingularly perturbedfluid particle interaction

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• Unnamed Item
• Unnamed Item
• A parameter-uniform numerical method for a singularly perturbed two parameter elliptic problem
• Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems
• A simple 1D model of inviscid fluid-solid interaction
• A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
• Limitations of adaptive mesh refinement techniques for singularly perturbed problems with a moving interior layer.
• Difference scheme for an initial-boundary value problem for a singularly perturbed transport equation
• Second-order linear parabolic equations with a small parameter
• COUPLING EULER AND VLASOV EQUATIONS IN THE CONTEXT OF SPRAYS: THE LOCAL-IN-TIME, CLASSICAL SOLUTIONS
• Quasi-neutral limit for Euler-Poisson system