An averaged space-time discretization of the stochastic $p$-Laplace system

Diening L, Hofmanová M, Wichmann J (2022)
arXiv:2204.08929.

Preprint | Englisch
 
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Abstract / Bemerkung
We study the stochastic $p$-Laplace system in a bounded domain. We propose two new space-time discretizations based on the approximation of time-averaged values. We establish linear convergence in space and $1/2$ convergence in time. Additionally, we provide a sampling algorithm to construct the necessary random input in an efficient way. The theoretical error analysis is complemented by numerical experiments.
Erscheinungsjahr
2022
Zeitschriftentitel
arXiv:2204.08929
Page URI
https://pub.uni-bielefeld.de/record/2962502

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Diening L, Hofmanová M, Wichmann J. An averaged space-time discretization of the stochastic $p$-Laplace system. arXiv:2204.08929. 2022.
Diening, L., Hofmanová, M., & Wichmann, J. (2022). An averaged space-time discretization of the stochastic $p$-Laplace system. arXiv:2204.08929
Diening, L., Hofmanová, M., and Wichmann, J. (2022). An averaged space-time discretization of the stochastic $p$-Laplace system. arXiv:2204.08929.
Diening, L., Hofmanová, M., & Wichmann, J., 2022. An averaged space-time discretization of the stochastic $p$-Laplace system. arXiv:2204.08929.
L. Diening, M. Hofmanová, and J. Wichmann, “An averaged space-time discretization of the stochastic $p$-Laplace system”, arXiv:2204.08929, 2022.
Diening, L., Hofmanová, M., Wichmann, J.: An averaged space-time discretization of the stochastic $p$-Laplace system. arXiv:2204.08929. (2022).
Diening, Lars, Hofmanová, Martina, and Wichmann, Jörn. “An averaged space-time discretization of the stochastic $p$-Laplace system”. arXiv:2204.08929 (2022).

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