Geodesic
FEM-analysis on layer-adapted meshes for turning point problems exhibiting an interior layer
Modelirovanie i analiz informacionnyh sistem, Tome 23 (2016) no. 3, pp. 240-247

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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 $\varepsilon$-weighted energy norm for finite elements of higher order. Numerical experiments are used to compare the meshes and to confirm the theoretical findings.
Keywords: turning point, interior layer, layer-adapted meshes, higher order finite elements.
Mots-clés : singular perturbation 
@article{MAIS_2016_23_3_a0,
     author = {S. Becher},
     title = {FEM-analysis on layer-adapted meshes for turning point problems exhibiting an interior layer},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {240--247},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2016_23_3_a0/}
}
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S. Becher. FEM-analysis on layer-adapted meshes for turning point problems exhibiting an interior layer. Modelirovanie i analiz informacionnyh sistem, Tome 23 (2016) no. 3, pp. 240-247. http://geodesic.mathdoc.fr/item/MAIS_2016_23_3_a0/