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- W4380136616 abstract "A novel approach for the stabilization of the Discontinuous Galerkin method based on the Dafermos entropy rate crition is presented. First, estimates for the maximal possible entropy dissipation rate of a weak solution are derived. Second, families of conservative Hilbert-Schmidt operators are identified to dissipate entropy. Steering these operators using the bounds on the entropy dissipation results in high-order accurate shock-capturing DG schemes for the Euler equations, satisfying the entropy rate criterion and an entropy inequality." @default.
- W4380136616 created "2023-06-10" @default.
- W4380136616 creator A5071580083 @default.
- W4380136616 date "2023-06-08" @default.
- W4380136616 modified "2023-09-24" @default.
- W4380136616 title "Stabilizing Discontinuous Galerkin Methods Using Dafermos' Entropy Rate Criterion: II -- Systems of Conservation Laws and Entropy Inequality Predictors" @default.
- W4380136616 doi "https://doi.org/10.48550/arxiv.2306.05124" @default.
- W4380136616 hasPublicationYear "2023" @default.
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