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Contributions to Books:

M. Faustmann, J. Melenk:
"Robust exponential convergence of $hp$-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains";
in: "ASC Report 25/2016", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2016, ISBN: 978-3-902627-09-4, 1 - 17.



English abstract:
The hp-version of the finite element method is applied to singularly perturbed reaction-diffusion type equations on polygonal domains. The solution exhibits boundary layers as well as corner layers. On a class of meshes that are suitable refined near the boundary and the corners, robust exponential convergence (in the polynomial degree) is shown in both a balanced norm and the maximum norm.

Keywords:
high order FEM, singular perturbation, balanced norm, uniform estimates


Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2016/asc25x2016.pdf


Created from the Publication Database of the Vienna University of Technology.