Email this article Smoothness of Functions in Spaces of the Finite Element Method
- Authors: Dem’yanovich Y.K.1, Prozorova E.V.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 235, No 3 (2018)
- Pages: 262-274
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242107
- DOI: https://doi.org/10.1007/s10958-018-4073-9
- ID: 242107
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Abstract
We find necessary and sufficient conditions for the generalized smoothness of the coordinate functions obtained from the approximate relations. We show that for the coordinate functions the smoothness on their supports is equivalent to that on the boundaries of supports. We obtain conditions for the continuity of Courant type finite element approximations and conditions for the uniqueness of a linear space of such approximations.
About the authors
Yu. K. Dem’yanovich
St. Petersburg State University
Author for correspondence.
Email: y.demjanovich@spbu.ru
Russian Federation, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
E. V. Prozorova
St. Petersburg State University
Email: y.demjanovich@spbu.ru
Russian Federation, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
