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References
Agmon, S.: Lectures on elliptic boundary value problems. Princeton: Van Nostrand 1965
Ciarlet, P. G., Raviart, P.-A.: The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. The Mathematical foundations of the finite element method. Academic Press 1972
Douglas, J., Jr., Dupont, T.: Some superconvergence results for Galerkin methods for the approximate solution of two point boundary problems. To appear in the Proceedings of a conference on numerical analysis held by the Royal Irish Academy, Dublin, 1972
Herbold, R. J., Varga, R. S.: The effect of quadrature errors in the numerical solution of two-dimensional boundary value problems by variational techniques. Aequationes Math.7, 36–58 (1972)
Schatz, A. H.: Private communication
Wheeler, M. F.: An optimalL ∞ error estimate for Galerkin approximations to solutions of two point boundary problems. SIAM J. Num. Anal.10, 914–917 (1973)
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Douglas, J. Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Numer. Math. 22, 99–109 (1974). https://doi.org/10.1007/BF01436724
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DOI: https://doi.org/10.1007/BF01436724