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- W4297788850 abstract "We derive and analyze high order discontinuous Galerkin methods for second-order elliptic problems on implicitely defined surfaces in $mathbb{R}^{3}$. This is done by carefully adapting the unified discontinuous Galerkin framework of Arnold et al. [2002] on a triangulated surface approximating the smooth surface. We prove optimal error estimates in both a (mesh dependent) energy norm and the $L^2$ norm." @default.
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- W4297788850 date "2014-02-14" @default.
- W4297788850 modified "2023-10-18" @default.
- W4297788850 title "High order discontinuous Galerkin methods on surfaces" @default.
- W4297788850 doi "https://doi.org/10.48550/arxiv.1402.3428" @default.
- W4297788850 hasPublicationYear "2014" @default.
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