Year: 2013
Author: C.-Y. Jung, T. B. Nguyen
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 2 : pp. 314–332
Abstract
In this article we aim to study finite volume approximations which approximate the solutions of convection-dominated problems possessing the so-called interior transition layers. The stiffness of such problems is due to a small parameter multiplied to the highest order derivative which introduces various transition layers at the boundaries and at the interior points where certain compatibility conditions do not meet. Here, we are interested in resolving interior transition layers at turning points. The proposed semi-analytic method features interior layer correctors which are obtained from singular perturbation analysis near the turning points. We demonstrate this method is efficient, stable and it shows 2nd-order convergence in the approximations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-IJNAM-570
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 2 : pp. 314–332
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Convection-diffusion equations Singular perturbation analysis Transition layers Boundary layers Compatibility conditions Turning points Finite volume methods.