Resumen de Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements

Sebastian Franz, Gunar Matthies

• For a general class of finite element spaces based on local polynomial spaces View the MathML source with View the MathML source we construct a vertex�edge�cell and point�value oriented interpolation operators that fulfil anisotropic interpolation error estimates.

  Using these estimates we prove ?-uniform convergence of order p for the Galerkin FEM and the LPSFEM for a singularly perturbed convection�diffusion problem with characteristic boundary layers.