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Theh, p andh-p versions of the finite element method in 1 dimension

Part II. The error analysis of theh-andh-p versions

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The paper is the second in the series of three devoted to the detailed analysis of the three, basic versions of the finite element method in one dimensional setting. The first part [1] analyzed thep-version, the present one concentrates on theh andh-p versions.

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References

  1. Babuška, I., Gui, W.: Theh, p andh-p Versions of the Finite Element Method for One Dimensional Problem. Part I: The Error Analysis of thep-Version. Numer. Math.49, 577–612 (1986)

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  2. DeVore, R., Scherer, K.: Variable knot variable degree spline approximation tox β. In: Quantitative Approximation. Proceedings, Bonn, pp. 101–131 (1979)

  3. Scherer, K.: On optimal global error bounds obtained by scaled local error estimates. Numer. Math.36, 257–277 (1981)

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Supported by NSF Grant DMS-8315216

Partially supported by UNR Contract N00014-85-K-0169

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Gui, W., Babuška, I. Theh, p andh-p versions of the finite element method in 1 dimension. Numer. Math. 49, 613–657 (1986). https://doi.org/10.1007/BF01389734

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  • DOI: https://doi.org/10.1007/BF01389734

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