Some a Posteriori Error Bounds for Numerical Solutions of Plate in Bending Problems
- Авторы: Korneev V.1, Kostylev V.2
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Учреждения:
- Saint Petersburg State University
- Vedeneev All-Russia Research Institute of Hydraulic Engineering (VNIIG) Open Joint-Stock Company
- Выпуск: Том 39, № 7 (2018)
- Страницы: 904-915
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202631
- DOI: https://doi.org/10.1134/S1995080218070156
- ID: 202631
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Аннотация
For the efficient error control of numerical solutions of the solid mechanics problems, the two requirements are important: an a posteriori error bound has sufficient accuracy and computation of the bound is cheap in respect to the arithmetic work. The first requirement can be formulated in a more specific form of consistency of an a posteriori bound, assuming that it is not improvable in the order and, at least, coincides in the order with the a priori error estimate. Several new a posteriori error bounds are presented, which improve accuracy and reduce the computational cost. Also for the first time a new consistent guaranteed a posteriori error bound is suggested.
Об авторах
V. Korneev
Saint Petersburg State University
Автор, ответственный за переписку.
Email: vad.korneev2011@yandex.ru
Россия, Universitetskaya nab. 7/9, St. Petersburg, 199034
V. Kostylev
Vedeneev All-Russia Research Institute of Hydraulic Engineering (VNIIG) Open Joint-Stock Company
Email: vad.korneev2011@yandex.ru
Россия, ul. Gzhatskaya 21, St. Petersburg, 195220
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