Article information
2008 , Volume 13, ¹ 3, p.45-53
Zadorin A.I.
Method of interpolation for a function of two variables with a boundary layer component
For a function of two variables, corresponding to a solution of the elliptic problem with a boundary layer, the interpolation function is constructed. It is shown, that interpolation error is small for any relations between a small parameter and mesh steps. It is proved, that in case of the Shishkin mesh polinomial interpolation the method is uniformly accurate with regard to a small parameter. Formulas for calculation of derivatives, that use mesh values of the solution with a uniformly small error are proposed.
[full text] 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. Method of interpolation for a function of two variables with a boundary layer component // Computational technologies. 2008. V. 13. ¹ 3. P. 45-53
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