Fernández Cara, E. On the numerical approximation of a geometric control problem. (Spanish. English summary) Zbl 0536.76037 Collect. Math. 33, 225-247 (1982). 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. Cited in 1 Document MSC: 76D05 Navier-Stokes equations for incompressible viscous fluids 76M99 Basic methods in fluid mechanics 76G25 General aerodynamics and subsonic flows Keywords:geometric control problem; optimal design; aerodynamic body; minimum-drag profile; stationary; velocity-pressure formulation; mixed finite element method PDFBibTeX XMLCite \textit{E. Fernández Cara}, Collect. Math. 33, 225--247 (1982; Zbl 0536.76037) Full Text: EuDML