Decomposition of the Solution to a Two-Dimensional Singularly Perturbed Convection–Diffusion Equation with Variable Coefficients in a Square and Estimates in Hölder Norms-Reference-Cited by-同舟云学术

Decomposition of the Solution to a Two-Dimensional Singularly Perturbed Convection–Diffusion Equation with Variable Coefficients in a Square and Estimates in Hölder Norms

Published:2021-02 Issue:2 Volume:61 Page:194-204
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Andreev V. B.,Belukhina I. G.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542521020044.pdf

Reference9 articles.

1. G. I. Shishkin, Grid Approximations of Singularly Perturbed Elliptic and Parabolic Equations (Ural Otd. Ross. Akad. Nauk, Yekaterinburg, 1992) [in Russian].

2. V. B. Andreev, “Hölder estimates for the regular component of the solution to a singularly perturbed convection–diffusion equation,” Comput. Math. Math. Phys. 57 (12), 1935–1972 (2017).

3. R. B. Kellogg and M. Stynes, “Corner singularities and boundary layers in a simple convection-diffusion problem,” J. Differ. Equations 213, 81–120 (2005).

4. V. B. Andreev and I. G. Belukhina, “Estimates in Hölder classes for the solution of an inhomogeneous Dirichlet problem for a singularly perturbed homogeneous convection–diffusion equation,” Comput. Math. Math. Phys. 59 (2), 253–265 (2019).

5. V. B. Andreev, “Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection–diffusion equation,” Comput. Math. Math. Phys. 55 (1), 19–30 (2015).

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