FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer
https://doi.org/10.18255/1818-1015-2016-3-240-247
Abstract
We consider singularly perturbed turning point problems whose solutions exhibit an interior layer. Two suitable layer-adapted mesh-types are presented. For both types we give uniform error estimates in the ε-weighted energy norm for finite elements of higher order. Numerical experiments are used to compare the meshes and to confirm the theoretical findings.
About the Author
S. Becher
Institut fuЁr Numerische Mathematik, Technische UniversitaЁt Dresden, 01062 Dresden, Deutschland
Russian Federation
Russian Federation
References
1. Becher S., “Analysis of Galerkin and SDFEM on piecewise equidistant meshes for turning point problems exhibiting an interior layer”, 2016, arXiv:1604.01327v1 [math.NA].
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Review
For citations:
Becher S. FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer. Modeling and Analysis of Information Systems. 2016;23(3):240-247. https://doi.org/10.18255/1818-1015-2016-3-240-247
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