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- W3209582963 abstract "In this paper, we introduce a new stabilization for discontinuous Galerkin methods for the Poisson problem on polygonal meshes, which induces optimal convergence rates in the polynomial approximation degree [Formula: see text]. The stabilization is obtained by penalizing, in each mesh element [Formula: see text], a residual in the norm of the dual of [Formula: see text]. This negative norm is algebraically realized via the introduction of new auxiliary spaces. We carry out a [Formula: see text]-explicit stability and error analysis, proving [Formula: see text]-robustness of the overall method. The theoretical findings are demonstrated in a series of numerical experiments." @default.
- W3209582963 created "2021-11-08" @default.
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- W3209582963 date "2021-10-29" @default.
- W3209582963 modified "2023-10-07" @default.
- W3209582963 title "A p-robust polygonal discontinuous Galerkin method with minus one stabilization" @default.
- W3209582963 doi "https://doi.org/10.1142/s0218202521500597" @default.
- W3209582963 hasPublicationYear "2021" @default.
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