Piecewise smooth approximation for elliptic systems solutions
Автор: Boluchevskaya Anna Vladimirovna
Журнал: Математическая физика и компьютерное моделирование @mpcm-jvolsu
Рубрика: Математика
Статья в выпуске: 2 (15), 2011 года.
Бесплатный доступ
The paper is devoted to the problem of piecewise smooth approximation for elliptic system solutions defined on triangular grids. It is shown that when we approximate a differential of such a solution by the differential of the approximating mapping the error depends on the triangles shapes and sizes. A mapping is build to approximate the differential with the error that does not depend on triangles in the grid. The analogous results are obtained for Beltrami equation solutions.
Piecewise smooth approximation, approximation of a differential, elliptic system of equations, beltrami equation, approximation error bound, triangulation
Короткий адрес: https://sciup.org/14968687
IDR: 14968687