@inproceedings{73c2e423ba2c47eb9eb0b27eabab1609,
title = "On aposteriori error analysis of DG schemes approximating hyperbolic conservation laws",
abstract = "This contribution is concerned with aposteriori error analysis of discontinuous Galerkin (dG) schemes approximating hyperbolic conservation laws. In the scalar case the aposteriori analysis is based on the L1contraction property and the doubling of variables technique. In the system case the appropriate stability framework is in L2, based on relative entropies. It is only applicable if one of the solutions, which are compared to each other, isLipschitz. FordGschemes approximating hyperbolic conservation laws neither the entropy solution nor the numerical solution need to be Lipschitz.We explain how this obstacle can be overcome using a reconstruction approach which leads to an aposteriori error estimate.",
author = "Jan Giesselmann and Tristan Pryer",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2014.; 7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7 ; Conference date: 15-06-2014 Through 20-06-2014",
year = "2014",
month = may,
day = "13",
doi = "10.1007/978-3-319-05684-5_30",
language = "English",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York",
pages = "313--321",
editor = "Christian Rohde and J{\"u}rgen Fuhrmann and Mario Ohlberger",
booktitle = "Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7",
address = "USA United States",
}