Smoothness of Functions in Spaces of the Finite Element Method
- Авторлар: Dem’yanovich Y.1, Prozorova E.1
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Мекемелер:
- St. Petersburg State University
- Шығарылым: Том 235, № 3 (2018)
- Беттер: 262-274
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242107
- DOI: https://doi.org/10.1007/s10958-018-4073-9
- ID: 242107
Дәйексөз келтіру
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.
Авторлар туралы
Yu. Dem’yanovich
St. Petersburg State University
Хат алмасуға жауапты Автор.
Email: y.demjanovich@spbu.ru
Ресей, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
E. Prozorova
St. Petersburg State University
Email: y.demjanovich@spbu.ru
Ресей, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504