On the rate of convergence of solutions in singular perturbation problems
β Scribed by Shigeaki Koike
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 470 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
where the interface bRl n R = bR2 n R is a "regular" surface with minimal area. This problem has been analyzed, among others, by De Giorgi, Franzone, and Ambrogio in [3] and[4], Can, Gurtin, and Slemrod in [2], Alikakos and Shaing in [l], Modica in [7], Modica and Mortola in [8], Kohn and Sternberg
Cell-centered discretization of the convection-diffusion equation with large PCclet number Pe is analyzed, in the presence of a parabolic boundary layer. It is shown theoretically how, by suitable mesh refinement in the boundary layer, the accuracy can be made to be uniform in Pe, at the cost of a I