Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
For a general class of finite element spaces based on local polynomial spaces E with P-p subset of E subset of 2(p) we construct a vertex-edge-cell and point-value oriented interpolation operators that fulfil anisotropic interpolation error estimates.
Using these estimates we prove epsilon-uniform convergence of order p for the Galerkin FEM and the LPSFEM for a singularly perturbed convection-diffusion problem with characteristic boundary layers. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 723-737 |
| Number of pages | 15 |
| Journal | Applied numerical mathematics |
| Volume | 61 |
| Issue number | 6 |
| Publication status | Published - Jun 2011 |
| Peer-reviewed | Yes |
| Externally published | Yes |
External IDs
| Scopus | 79952361346 |
|---|---|
| ORCID | /0000-0002-2458-1597/work/142239723 |
Keywords
Keywords
- Singular perturbation, Characteristic layers, Exponential layers, Shishkin meshes, Local-projection, Higher order FEM, CONVECTION-DIFFUSION PROBLEMS, SHISHKIN MESH, MULTIFRONTAL METHOD, DISCRETISATIONS, STABILIZATION