%0 Conference Paper %1 GiesselmannMeyerRohdeNISP19 %A Giesselmann, J. %A Meyer, F. %A Rohde, C. %B Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems 2018 %D 2020 %E Bressan, Alberto %E Lewicka, Marta %E Wang, Dehua %E Zheng, Yuxi %I AIMS Series on Applied Mathematics %K ians imported vorlaeufig %P 449-456 %T An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws %U https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf %V 10 %X We present an a posteriori error analysis for one-dimensional ran-dom hyperbolic systems of conservation laws. For the discretization of therandom space we consider the Non-Intrusive Spectral Projection method, thespatio-temporal discretization uses the Runge–Kutta Discontinuous Galerkinmethod. We derive an a posteriori error estimator using smooth reconstructionsof the numerical solution, which combined with the relative entropy stabilityframework yields computable error bounds for the space-stochastic discretiza-tion error. Moreover, we show that the estimator admits a splitting into astochastic and deterministic part.

@inproceedings{GiesselmannMeyerRohdeNISP19, abstract = {We present an a posteriori error analysis for one-dimensional ran-dom hyperbolic systems of conservation laws. For the discretization of therandom space we consider the Non-Intrusive Spectral Projection method, thespatio-temporal discretization uses the Runge–Kutta Discontinuous Galerkinmethod. We derive an a posteriori error estimator using smooth reconstructionsof the numerical solution, which combined with the relative entropy stabilityframework yields computable error bounds for the space-stochastic discretiza-tion error. Moreover, we show that the estimator admits a splitting into astochastic and deterministic part.}, added-at = {2020-04-02T21:00:14.000+0200}, author = {Giesselmann, J. and Meyer, F. and Rohde, C.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/26bbdaeff6ce4c73116e9519800943bc9/mathematik}, booktitle = {Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems 2018}, editor = {Bressan, Alberto and Lewicka, Marta and Wang, Dehua and Zheng, Yuxi}, interhash = {45b76027efec884f7b99317f3fae979f}, intrahash = {6bbdaeff6ce4c73116e9519800943bc9}, keywords = {ians imported vorlaeufig}, owner = {meyerfn}, pages = {449-456}, publisher = {AIMS Series on Applied Mathematics}, timestamp = {2022-02-15T13:55:51.000+0100}, title = {An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws}, url = {https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf}, volume = 10, year = 2020 }