Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645616 | Applied Numerical Mathematics | 2011 | 15 Pages |
Abstract
For a general class of finite element spaces based on local polynomial spaces E with Pp⊂E⊂Qp we construct a vertex–edge–cell and point–value oriented interpolation operators that fulfil anisotropic interpolation error estimates.Using these estimates we prove ε-uniform convergence of order p for the Galerkin FEM and the LPSFEM for a singularly perturbed convection–diffusion problem with characteristic boundary layers.
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