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Combined use of the finite element and finite superelement methods

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Abstract

Results of the theoretical and numerical studies of an algorithm based on the combined use of the finite element and finite superelement methods are presented. Estimates of the errors for one of the variants of the method applied to solving the Laplace equation are obtained. The method can be used to solve a problem concerning the skin layer appearing due to high velocities.

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Original Russian Text © M.P. Galanin, E.B. Savenkov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 2, pp. 270–283.

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Galanin, M.P., Savenkov, E.B. Combined use of the finite element and finite superelement methods. Comput. Math. and Math. Phys. 46, 258–270 (2006). https://doi.org/10.1134/S0965542506020084

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