Decomposition of the solution to a two-dimensional singularly perturbed convection-diffusion equation with variable coefficients in a square and estimates in Hölder norms

DOI10.1134/S0965542521020044zbMath1461.35018OpenAlexW3142200315MaRDI QIDQ2662806

I. G. Belukhina, Vladimir B. Andreev

Publication date: 15 April 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521020044

zbMATH Keywords

Hölder estimatestwo characteristic boundary layers

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45)

Related Items (2)

A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms ⋮ A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers

Cites Work

• Corner singularities and boundary layers in a simple convection-diffusion problem
• Hölder estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation
• Estimates in Hölder classes for the solution of an inhomogeneous Dirichlet problem for a singularly perturbed homogeneous convection-diffusion equation
• Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation
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