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- W2797641362 abstract "This article presents a superconvergence for the gradient approximation of the second order elliptic equation discretized by the weak Galerkin finite element methods on nonuniform rectangular partitions. The result shows a convergence of ${cal O}(h^r)$, $1.5leq r leq 2$, for the numerical gradient obtained from the lowest order weak Galerkin element consisting of piecewise linear and constant functions. For this numerical scheme, the optimal order of error estimate is ${cal O}(h)$ for the gradient approximation. The superconvergence reveals a superior performance of the weak Galerkin finite element methods. Some computational results are included to numerically validate the superconvergence theory." @default.
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- W2797641362 date "2018-04-11" @default.
- W2797641362 modified "2023-10-16" @default.
- W2797641362 title "Superconvergence of the Gradient Approximation for Weak Galerkin Finite Element Methods on Nonuniform Rectangular Partitions" @default.
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- W2797641362 doi "https://doi.org/10.48550/arxiv.1804.03998" @default.
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