In this paper we are concerned with the application of the stabilized finite element method to aero-elastic problems. The main attention is paid to the numerical solution of incompressible viscous two dimensional flow around a flexibly supported solid body. Typical velocities in this case are low enough to assume the air flow being incompressible, on the other hand the Reynolds numbers are very high (${10}^4-{10}^6$). As the neccessary mesh refinement for standard Galerkin approximation is clearly unfeasible, several possibilities of stabilization procedures (SUPG - streamline upwind/Petrov-Galerkin, GLS - Galerkin Least Squares) is discussed. Moreover the application of the stabilized method to an aeroelastic problem is presented.

EUDML-ID : urn:eudml:doc:271349

@article{702798,
     title = {On stabilized finite element method in problems of aeroelasticity},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2004},
     pages = {206-213},
     url = {http://dml.mathdoc.fr/item/702798}
}

Sváček, Petr. On stabilized finite element method in problems of aeroelasticity, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2004), pp. 206-213. http://gdmltest.u-ga.fr/item/702798/