Beschreibung:
Thepapergivesanoverviewoverlocalinequalitiesfor anisotropicsimplicialLagrangianfiniteelements.Themain original contributions are the estimates forhigherderivatives of the interpolation error, the formulation of the assumptions on admissible anisotropic finite elements intermsofgeometrical conditionsinthethree-dimensionalcase,and an anisotropic variant of the inverse inequality. An application ofanisotropic meshesinthecontextofastabilized Galerkin method for a convection-diffusion problem is given.