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- W3179828797 abstract "In this paper, we introduce a simple local flux recovery for $mathcal{Q}_k$ finite element of a scalar coefficient diffusion equation on quadtree meshes, with no restriction on the irregularities of hanging nodes. The construction requires no specific ad hoc tweaking for hanging nodes on $l$-irregular ($lgeq 2$) meshes thanks to the adoption of virtual element families. The rectangular elements with hanging nodes are treated as polygons as in the flux recovery context. An efficient a posteriori error estimator is then constructed based on the recovered flux, and its reliability is proved under common assumptions, both of which are further verified in numerics." @default.
- W3179828797 created "2021-07-19" @default.
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- W3179828797 date "2020-06-09" @default.
- W3179828797 modified "2023-10-16" @default.
- W3179828797 title "A simple virtual element-based flux recovery on quadtree" @default.
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- W3179828797 doi "https://doi.org/10.48550/arxiv.2006.05585" @default.
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