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Superconvergence analysis of approximate boundary-flux calculations (1992)

Pehlivanov, A. I. ; Lazarov, R. D. ; Carey, G. F. ; [et al.]

Springer

Numerische Mathematik 63 (1992), S. 483-501

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ISSN: 0945-3245

Keywords: 65N30

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary 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(h 2)-accurate for linear triangular elements. In this paper we prove that the computed boundary flux isO(h 2 ln 1/h)-accurate in the maximum norm for the partial method of [5]. If the solutionuφH 3(Ω) then the boundary flux error isO(h 3/2) in theL 2-norm.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01385871

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