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- W4295685124 abstract "We perform a posteriori error analysis in the supremum norm for the quadratic discontinuous Galerkin method for the elliptic obstacle problem. We define two discrete sets (motivated by Gaddam, Gudi and Kamana [1]), one set having integral constraints and other one with the nodal constraints at the quadrature points, and discuss the pointwise reliability and efficiency of the proposed a posteriori error estimator. In the analysis, we employ a linear averaging function to transfer DG finite element space to standard conforming finite element space and exploit the sharp bounds on the Green's function of the Poisson's problem. Moreover, the upper and the lower barrier functions corresponding to continuous solution u are constructed by modifying the conforming part of the discrete solution uh appropriately. Finally, numerical experiments are presented to complement the theoretical results." @default.
- W4295685124 created "2022-09-14" @default.
- W4295685124 creator A5024761874 @default.
- W4295685124 creator A5035161060 @default.
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- W4295685124 date "2022-09-11" @default.
- W4295685124 modified "2023-09-23" @default.
- W4295685124 title "Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem" @default.
- W4295685124 doi "https://doi.org/10.48550/arxiv.2209.04918" @default.
- W4295685124 hasPublicationYear "2022" @default.
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