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Article information
1999 , Volume 4, ¹ 1, p.33-47
Zadorin A.I.
Numerical solution of an elliptic equation with the boundary layers for a half-strip
An elliptic equation with a small parameter at the highest derivatives for a half-strip is considered. Method of the transition of the boundary conditions to the rectangular region is proposed. The estimates of the replacement error are obtained. For the problem in a rectangular region, the difference scheme on the special nonuniform grid is investigated.
[full text] Classificator Msc2000:- *35B25 Singular perturbations
- 35J70 Elliptic partial differential equations of degenerate type
- 65N06 Finite difference methods
- 65N12 Stability and convergence of numerical methods
- 65N15 Error bounds
- 65N50 Mesh generation and refinement
Keywords: elliptic equation, singular perturbation, small parameter, domain truncation, finite-difference method, nonuniform mesh, uniform convergence
Author(s):
Zadorin Aleksandr Ivanovich
Address: 644046, Russia, Omsk
Phone Office: (3812) 236739
E-mail: zadorin@iitam.omsk.net.ru
Bibliography link:
Zadorin A.I. Numerical solution of an elliptic equation with the boundary layers for a half-strip // Computational technologies. 1999. V. 4. ¹ 1. P. 33-47
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