SUPERCONVERGENCE ANALYSIS OF APPROXIMATE BOUNDARY-FLUX CALCULATIONS

Certain projection post-processing techniques have been proposed for computing the boundary flux for two-dimensional problems (e.g., see Carey, et al. [5]). 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 [5]. If the solution uH3() then the boundary flux error is O(h3/2) in the L2-norm. 1992 Springer-Verlag.

SUPERCONVERGENCE ANALYSIS OF APPROXIMATE BOUNDARY-FLUX CALCULATIONS Academic Article