Superconvergence analysis of approximate boundary-flux calculations
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Certain projection post-processing techniques have been proposed for computing the boundary flux for two-dimensional problems (e.g., see Carey, et al. ). In a series of numerical experiments on elliptic problems they observed that these post-processing formulas for approximate fluxes were almost (O(h2)-accurate for linear triangular elements. In this paper we prove that the computed boundary flux is O(h2 ln 1/h)-accurate in the maximum norm for the partial method of . If the solution uφH3(Ω) then the boundary flux error is O(h3/2) in the L2-norm. © 1992 Springer-Verlag.
author list (cited authors)
Pehlivanov, A. I., Lazarov, R. D., Carey, G. F., & Chow, S. S.