Convergence of centered difference schemes for a system of two-dimensional equations of acoustics |
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Authors: | M. N. Moskal'kov D. Utebaev |
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Affiliation: | (1) Kiev University, USSR |
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Abstract: | The accuracy of difference schemes for first-order hyperbolic systems is studied for the case of two-dimensional equations of acoustics with various boundary conditions. A difference scheme is constructed and an a priori bound of the error is obtained in some weak norm. This bound combined with the Bramble-Hilbert theorem makes it possible to prove o(m + hm) convergence of the difference solution to the solution of the differential problem in the class W2m(QT, m=1,2.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 57, pp. 48–57, 1985. |
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