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Published at December 10

Discontinuous Galerkin methods for the complete stochastic Euler equations

math.NA

cs.NA

math.AP

math.PR

65M70, 65C30, 65N12

Released Date: December 10, 2024

Authors: Dominic Breit¹, Thamsanqa Castern Moyo¹, Philipp Öffner

Aff.: ¹TU Clausthal, Institute of Mathematics, Erzstraße 1, 38678 Clausthal-Zellerfeld, Germany

Arxiv: http://arxiv.org/pdf/2412.07613v1

Refer to caption

	FV				DGSEM ( $\mathfrak{p}=1$ )
Elements	$\mathtt{E}_{1}$	EOC( $\mathtt{E}_{1}$ )	$\mathtt{E}_{2}$	EOC( $\mathtt{E}_{2}$ )	$\mathtt{E}_{1}$	EOC( $\mathtt{E}_{1}$ )	$\mathtt{E}_{2}$	EOC( $\mathtt{E}_{2}$ )
64	0.0321	-	0.0046	-	0.0141	-	0.00111	-
128	0.0224	0.51	0.0021	1.09	0.0098	0.52	0.00077	0.52
256	0.0148	0.61	0.0009	1.26	0.0074	0.41	0.00066	0.23
512	0.0089	0.72	0.0003	1.47	0.0061	0.27	0.00061	0.08
average EOC	-	0.61	-	1.27	-	0.4	-	0.28