L1andL∞Uniform convergence of a difference scheme for a semilinear singular perturbation problem
✍ Scribed by Martin Stynes; Eugene O'Riordan
- Publisher
- Springer-Verlag
- Year
- 1987
- Tongue
- English
- Weight
- 485 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
📜 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
In this paper we consider a singularly perturbed quasilinear boundary value problem depending on a parameter. The problem is discretized using a hybrid difference scheme on Shishkin-type meshes. We show that the scheme is second-order convergent, in the discrete maximum norm, independent of singular