Geodesic
Smooth approximation for the solutions of elliptic systems
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 21-28

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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.
Keywords: piecewise-linear approximation, approximation of a differential, elliptic system of equations, Beltrami equation, approximation error bound
Mots-clés : triangulation. 
@article{VSGU_2011_8_a1,
     author = {A. V. Boluchevskaya},
     title = {Smooth approximation for the solutions of elliptic systems},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {21--28},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a1/}
}
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A. V. Boluchevskaya. Smooth approximation for the solutions of elliptic systems. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 21-28. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a1/