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

• Autores: Sebastian Franz, Gunar Matthies
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 61, Nº. 6, 2011, págs. 723-737
• Idioma: inglés
• DOI: 10.1016/j.apnum.2011.02.001
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• Resumen

  • 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.