Papers › A simple virtual element-based flux recovery on quadtree
A simple virtual element-based flux recovery on quadtree
Shuhao Cao
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In this paper, we introduce a simple local flux recovery for 𝒬ₖ 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 (l≥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.
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