Boundary node correction and superconvergence in the FEM

Boundary node correction and superconvergence in the FEM

Convergence improvement and superconvergence behaviour, obtained by the simple boundary node correction (BNC) procedure for certain stress‐like variables of smoothed FEM solutions, are reported in this paper. The effectiveness of BNC is shown through three examples of steady flow problems, and a pos...

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Veröffentlicht in:International journal for numerical methods in fluids 1990-04, Vol.10 (6), p.713-721
Hauptverfasser: Yao, M., Malkus, D. S.
Format: Artikel
Sprache:eng
Schlagworte:
Acceleration of convergence
Boundary node correction
Exact sciences and technology
Finite element method
Mathematics
Multiple mesh extrapolation
Numerical analysis
Numerical analysis. Scientific computation
Posterior error analysis
Pressure smoothing
Sciences and techniques of general use
Superconvergence
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Zusammenfassung:Convergence improvement and superconvergence behaviour, obtained by the simple boundary node correction (BNC) procedure for certain stress‐like variables of smoothed FEM solutions, are reported in this paper. The effectiveness of BNC is shown through three examples of steady flow problems, and a posterior error analysis based on the multiple‐mesh extrapolation technique has been used for estimating the convergence rates.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.1650100608