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L 2 error estimates for finite elements with interpolated boundary conditions

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Summary

TheL 2 error in the “nearly zero” quadratic approximate solution to Poisson's equation is shown to be of optimal order. The same method of proof can be used to show that theL 2 error with a space of cubics developed by Ridgway Scott is optimal.

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Authors and Affiliations

  1. U.S. Naval Ordnance Laboratory, 20910, Silver Spring, Maryland, USA

    Alan E. Berger

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  1. Alan E. Berger
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Additional information

This work was supported by the Office of Naval Research under Contract Number ONR NR-044-453 and by the Naval Ordnance Laboratory Independent Research Fund.

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Berger, A.E. L 2 error estimates for finite elements with interpolated boundary conditions. Numer. Math. 21, 345–349 (1973). https://doi.org/10.1007/BF01436388

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  • DOI: https://doi.org/10.1007/BF01436388

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