SMOOTH APPROXIMATION FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS


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Abstract

The paper is devoted to the problem of piecewise-linear approximation of mapping for the elliptic system of solutions defined on triangular grids. A mapping is build to approximate the differential, and the estimate of error of approximation that does not depend on the degree of degeneracy of triangles of the grid. An analogous estimate is obtained for mappings which approximate the differential of solution of Beltrami equation.

About the authors

A.V. Boluchevskaya

Volgograd State University

Author for correspondence.
Email: morenov.sv@ssau.ru

References


Copyright (c) 2017 А.В. Болучевская

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