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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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