Superconvergence analysis of approximate boundary-flux calculations Academic Article uri icon

abstract

  • 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.

published proceedings

  • Numerische Mathematik

author list (cited authors)

  • Pehlivanov, A. I., Lazarov, R. D., Carey, G. F., & Chow, S. S.

citation count

  • 32

complete list of authors

  • Pehlivanov, AI||Lazarov, RD||Carey, GF||Chow, SS

publication date

  • December 1992