Smoothness of Functions in Spaces of the Finite Element Method
- Авторы: Dem’yanovich Y.1, Prozorova E.1
-
Учреждения:
- St. Petersburg State University
- Выпуск: Том 235, № 3 (2018)
- Страницы: 262-274
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242107
- DOI: https://doi.org/10.1007/s10958-018-4073-9
- ID: 242107
Цитировать
Аннотация
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.
Об авторах
Yu. Dem’yanovich
St. Petersburg State University
Автор, ответственный за переписку.
Email: y.demjanovich@spbu.ru
Россия, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
E. Prozorova
St. Petersburg State University
Email: y.demjanovich@spbu.ru
Россия, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504