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

Part I. the error analysis of thep-version

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Summary

This paper is the first one in the series of three which are addressing in detail the properties of the three basic versions of the finite element method in the one dimensional setting The main emphasis is placed on the analysis when the (exact) solution has singularity of xα-type. The first part analyzes thep-version, the second theh-version and generalh-p version and the final third part addresses the problems of the adaptiveh-p version.

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Authors and Affiliations

  1. Institute for Physical Science and Technology, University of Maryland, 20742, College Park., MD, USA

    W. Gui & I. Babuška

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  1. W. Gui
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  2. I. Babuška
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Supported by the NSF Grant DMS-8315216

Partially supported by ONR 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, 577–612 (1986). https://doi.org/10.1007/BF01389733

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  • DOI: https://doi.org/10.1007/BF01389733

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