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Preprint Sep 2026

A merged-cell discontinuous Galerkin method for scalar conservation laws on curved domains

We analyse a discontinuous Galerkin method for two-dimensional scalar conservation laws on curved domains. Small intersections of a Cartesian grid with the domain are combined by rectangular cell merging. The local space is the restriction of $\mathbb Q_k$ to each physical merged cell. An entropy-conservative flux is s...

Yong Liu · 0 citations

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