Geodesic
An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary Navier–Stokes system using complex analysis techniques
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2251-2259 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new method is examined for the construction of approximate solutions to boundary value problems for the Navier–Stokes equations, which describe plane stationary flows of a viscous incompressible fluid. The method is based on the use of the complex form of the original equations and on the representation of the unknown complex-valued functions and the corresponding conjugate functions by their expansions in powers of the conjugate independent variable, the coefficients being holomorphic functions. A method of partitioning into analytic elements with subsequent sewing is proposed. The use of this method makes it possible to construct approximate solutions in domains with a fairly complicated configuration. As an illustration, the numerical results are given for the flow in a canal with a notch. 
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     title = {An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary {Navier{\textendash}Stokes} system using complex analysis techniques},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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A. I. Alexandrovich; M. B. Soloviev. An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary Navier–Stokes system using complex analysis techniques. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2251-2259. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a12/

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