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Building a system of difference equations by the Galerkin method using two-dimensional simplex

E. P. Eremina1, D. I. Boyarkin2

AnnotationThe Dirichlet problem for the Poisson equation is considered. The system of basic functions for the triangular grid is constructed. The system of equations is generated, the difference scheme is constructed. Estimates for the Kolmogorov widths for triangular and rectangular grids are obtained. Comparative analysis was performed.
Keywordsbasis functions, Galerkin form, weak solution, Kolmogorov width.

1Magister of Applied Mathematics Chair, Mordovian State University after N.P. Ogarev, Saransk; tremasovaep@gmail.ru.

2Docent of Applied Mathematics Chair, Mordovian State University after N.P. Ogarev, Saransk; boyarkindi@gmail.ru.

Citation: E. P. Eremina,D. I. Boyarkin, "[Building a system of difference equations by the Galerkin method using two-dimensional simplex]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 61–70 (In Russian)