Abstract
We apply continuous and discontinuous Galerkin time discretization together with standard finite element method for space discretization to the heat equation. For the numerical solution arising from these discretizations we present a guaranteed and fully computable a posteriori error upper bound. Moreover, we present local asymptotic efficiency estimate of this bound.
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Acknowledgements
This research was supported by the project GA UK No. 92315 of the Charles University in Prague (F. Roskovec) and by the Grant No. 13-00522S of the Czech Science Foundation (V. Dolejší, M. Vlasák).
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Dolejší, V., Roskovec, F., Vlasák, M. (2016). A Posteriori Error Estimates for Nonstationary Problems. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_23
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DOI: https://doi.org/10.1007/978-3-319-39929-4_23
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