Geodesic
Robust a posteriori error bounds for spline collocation applied to singularly perturbed reaction-diffusion problems
Electronic transactions on numerical analysis, Tome 45 (2016), pp. 342-353
Collocation with arbitrary order $C^1$-splines for a singularly perturbed reaction-diffusion problem in one dimension is studied. Robust a posteriori error bounds are derived for the collocation method on arbitrary meshes. These bounds are used to drive an adaptive mesh moving algorithm. Numerical results are presented.
Classification : 65L10, 65L11, 65L60
Keywords: reaction-diffusion, spline collocation, singular perturbations, a posteriori error estimation 
@article{ETNA_2016__45__a8,
     author = {Linss,  Torsten and Radojev,  Goran},
     title = {Robust a posteriori error bounds for spline collocation applied to singularly perturbed reaction-diffusion problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {342--353},
     year = {2016},
     volume = {45},
     zbl = {1352.65195},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2016__45__a8/}
}
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EP  - 353
VL  - 45
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%0 Journal Article
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%A Radojev,  Goran
%T Robust a posteriori error bounds for spline collocation applied to singularly perturbed reaction-diffusion problems
%J Electronic transactions on numerical analysis
%D 2016
%P 342-353
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%U http://geodesic.mathdoc.fr/item/ETNA_2016__45__a8/
%G en
%F ETNA_2016__45__a8
Linss,  Torsten; Radojev,  Goran. Robust a posteriori error bounds for spline collocation applied to singularly perturbed reaction-diffusion problems. Electronic transactions on numerical analysis, Tome 45 (2016), pp. 342-353. http://geodesic.mathdoc.fr/item/ETNA_2016__45__a8/