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- W2615202468 abstract "This paper investigates gradient recovery schemes for data defined on discretized manifolds. The proposed method, parametric polynomial preserving recovery (PPPR), does not require the tangent spaces of the exact manifolds, and they have been assumed for some significant gradient recovery methods in the literature. Another advantage of PPPR is that superconvergence is guaranteed without the symmetric condition which has been asked in the existing techniques. There is also numerical evidence that the superconvergence by PPPR is high curvature stable, which distinguishes itself from the others. As an application, we show its capability of constructing an asymptotically exact textit{a posteriori} error estimator. Several numerical examples on two-dimensional surfaces are presented to support the theoretical results and comparisons with existing methods are documented." @default.
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- W2615202468 date "2017-03-19" @default.
- W2615202468 modified "2023-10-16" @default.
- W2615202468 title "Parametric Polynomial Preserving Recovery on Manifolds" @default.
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- W2615202468 doi "https://doi.org/10.48550/arxiv.1703.06509" @default.
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