132 citations · 497 across the 66 of their papers we have counts for
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Any order superconvergence finite volume schemes for 1D general elliptic equations
Waixiang Cao, Zhimin Zhang, Qingsong Zou
We present and analyze a finite volume scheme of arbitrary order for elliptic equations in the one-dimensional setting. In this scheme, the control volumes are constructed by using…
Finite volume schemes of any order on rectangular meshes
Zhimin Zhang, Qingsong Zou
In this paper, we analyze vertex-centered finite volume method (FVM) of any order for elliptic equations on rectangular meshes. The novelty is a unified proof of the inf-sup condit…
Flux-conserving finite element methods
Shangyou Zhang, Zhimin Zhang, Qingsong Zou
We analyze the flux conservation property of the finite element method. It is shown that the finite element solution does approximate the flux locally in the optimal order, i.e., t…
Superconvergence Points of Spectral Interpolation
Zhimin Zhang
In this work, we study superconvergence properties for some high-order orthogonal polynomial interpolations.The results are two-folds: When interpolating function values, we identi…