Abstract
We demonstrate for two typical model problems that one observes uniform convergence of the Galerkin FEM on standard meshes with respect to the perturbation parameter in energy norms if the energy norm of the layers is small. Moreover, it is also possible only to resolve the strong layer using a layer adapted mesh but to do nothing concerning the weaker layer.
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Roos, HG., Schopf, M. (2013). Error Estimation in Energy Norms: Is It Necessary to Fit the Mesh to Boundary Layers. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_9
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DOI: https://doi.org/10.1007/978-3-642-41515-9_9
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