Abstract
The layer-adapted meshes used to achieve robust convergence results for problems with layers are not locally uniform. We discuss concepts of almost robust convergence and some realizations of locally-uniform meshes.
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This paper was written during a stay of the first author at the Charles University in Prague supported by the Nečas Center for Mathematical Modeling.
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Roos, HG., Schopf, M. Finite elements on locally uniform meshes for convection–diffusion problems with boundary layers. Computing 92, 285–296 (2011). https://doi.org/10.1007/s00607-011-0144-1
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DOI: https://doi.org/10.1007/s00607-011-0144-1
Keywords
- Finite element method
- Singular perturbation
- Convection–diffusion problem
- Bakhvalov-type meshes
- Locally uniform meshes
- Layer-adapted meshes