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Article

Šebestová, Ivana ; Dolejší, Vít
A posteriori error estimates of the discontinuous Galerkin method for parabolic problem. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 158-163
MSC: 65M15, 65M60
Keywords:
a posteriori error estimates; discontinuous Galerkin; heat equation
Summary:
We deal with a posteriori error estimates of the discontinuous Galerkin method applied to the nonstationary heat conduction equation. The problem is discretized in time by the backward Euler scheme and a posteriori error analysis is based on the Helmholtz decomposition.
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