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On the numerical approximation of a geometric control problem. (Spanish. English summary) Zbl 0536.76037

Summary: The purpose of this paper is to introduce a new method for solving an optimal design problem: determining the aerodynamic body of minimum-drag profile at constant velocity in a viscous incompressible fluid. The stationary Navier-Stokes problem (in velocity-pressure formulation) is discretized by means of a mixed finite element method. In some particular cases, the existence of solutions allows us to prove convergence results.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76M99 Basic methods in fluid mechanics
76G25 General aerodynamics and subsonic flows
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