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- W2031813498 abstract "For a conforming shape‐regular triangulation Jh without obtuse angles of a bounded polygonal domain Ω ⊂ R2, a weighted averaging operator relating a high‐order approximation W[z, ∏ h(u)](a) of the directional derivative ∂u/∂z(a) to a unit vector z, inner or so‐called semi‐inner vertex a of Jh and to the interpolant ∏ h(u) of a smooth function u in the vertices of Jh has been presented in [3]. The interpolant ∏ h(u) is continuous on Ω??? and linear on all triangles from Jh. In this paper, the problem of how to find effective procedures for such high‐order approximations of the gradient ∇u(a) by weighted averaging is studied." @default.
- W2031813498 created "2016-06-24" @default.
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- W2031813498 date "2011-01-01" @default.
- W2031813498 modified "2023-09-23" @default.
- W2031813498 title "Averaging of Gradients in Vertices of Triangulations" @default.
- W2031813498 doi "https://doi.org/10.1063/1.3636966" @default.
- W2031813498 hasPublicationYear "2011" @default.
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