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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 7, Pages 1213–1225
(Mi zvmmf626)
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This article is cited in 8 scientific papers (total in 8 papers)
A posteriori error estimation of a finite difference solution based on adjoint equations and differential representations
A. K. Alekseev S. P. Korolev Rocket and Space Corporation "Energia"
Abstract:
Numerical results obtained for the parabolized Navier–Stokes equations are used to show that the error in computed flow parameters caused by the truncation error of the underlying finite difference scheme can be evaluated using adjoint equations. If the local truncation error is determined in terms of the Lagrange remainder of a Taylor series, the numerical results can be improved and the remaining error can be estimated from above.
Key words:
a posteriori error estimation, finite difference scheme, differential representation, adjoint equations.
Received: 27.04.2004 Revised: 24.07.2004
Citation:
A. K. Alekseev, “A posteriori error estimation of a finite difference solution based on adjoint equations and differential representations”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1213–1225; Comput. Math. Math. Phys., 45:7 (2005), 1172–1184
Linking options:
https://www.mathnet.ru/eng/zvmmf626 https://www.mathnet.ru/eng/zvmmf/v45/i7/p1213
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Abstract page: | 449 | Full-text PDF : | 438 | References: | 54 | First page: | 1 |
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