A finite element method scheme for boundary value problems with noncoordinated degeneration of input data |
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| Authors: | V. A. Rukavishnikov E. V. Kuznetsova |
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| Affiliation: | 1. Computer Center, Far Eastern Branch, Russian Academy of Sciences, ul. Kim-Yu-Chen 65, Khabarovsk, 680000, Russia
2. Far Eastern State Transport University, ul. Serusheva 47, Khabarovsk, 680021, Russia
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| Abstract: | A finite element method scheme is constructed for boundary value problems with noncoordinated degeneration of input data and singularity of a solution. We look at a rate with which an approximate solution by the proposed finite element method converges toward an exact R ν -generalized solution in the weight set W 2,ν*+β 2+1/1 (Ω, δ), and establish estimates for the finite element approximation. |
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