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most citedEntropy stable discontinuous Galerkin methods for the shallow water equations with subcell positivity preservation

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math.NA2024

A Structure-Preserving Domain Decomposition Method for Data-Driven Modeling

Shuai Jiang, Jonas Actor, Scott Roberts +1

We present a domain decomposition strategy for developing structure-preserving finite element discretizations from data when exact governing equations are unknown. On subdomains, t…

math.NA2021★ 1 cited

Entropy stable discontinuous Galerkin methods for the shallow water equations with subcell positivity preservation

Xinhui Wu, Nathaniel Trask, Jesse Chan

High order schemes are known to be unstable in the presence of shock discontinuities or under-resolved solution features, and have traditionally required additional filtering, limi…