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Article

Vlasák, Miloslav ; Kučera, Václav
A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 202-208
MSC: 65M15, 65M60
Keywords:
convection-diffusion problem; semilinear; nonstationary; evolutionary; discontinuous Galerkin method
Summary:
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.
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