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• W3046231153 abstract "<p style='text-indent:20px;'>We numerically investigate the superconvergence property of the discontinuous Galerkin method by patch reconstruction. The convergence rate <inline-formula><tex-math id=M1>$ 2m+1 $</tex-math></inline-formula> can be observed at the grid points and barycenters in one dimensional case with uniform partitions. The convergence rate <inline-formula><tex-math id=M2>$ m + 2 $</tex-math></inline-formula> is achieved at the center of the element faces in two and three dimensions. The meshes are uniformly partitioned into triangles/tetrahedrons or squares/hexahedrons. We also demonstrate the details of the implementation of the proposed method. The numerical results for all three dimensional cases are presented to illustrate the propositions.</p>" @default.
• W3046231153 created "2020-08-07" @default.
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• W3046231153 date "2020-01-01" @default.
• W3046231153 modified "2023-09-23" @default.
• W3046231153 title "A numerical study of superconvergence of the discontinuous Galerkin method by patch reconstruction" @default.
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• W3046231153 doi "https://doi.org/10.3934/era.2020078" @default.
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