We deal with a nonstationary semilinear singularly perturbed convection–diffusion problem. We discretize this problem by discontinuous Galerkin method in space and by midpoint rule in time. We present diffusion–uniform error estimates with sketches of proofs.

EUDML-ID : urn:eudml:doc:271317
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Mots clés:

@article{702728,
     title = {A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {202-208},
     url = {http://dml.mathdoc.fr/item/702728}
}

Vlasák, Miloslav; Kučera, Václav. A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2013), pp. 202-208. http://gdmltest.u-ga.fr/item/702728/