Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem
https://doi.org/10.26907/0021-3446-2024-2-3-21
Abstract
In order to solve a parabolic variational inequality with a nonlocal spatial operator and a one-sided constraint on the solution, a numerical method based on the penalty method, finite elements, and the implicit Euler scheme is proposed and studied. Optimal estimates for the accuracy of the approximate solution in the energy norm are obtained.
About the Authors
O. V. Glazyrina
Kazan Federal University
Russian Federation
Russian Federation
Olga Vladimirovna Glazyrina
18 Kremlyovskaya str., Kazan, 420008
R. Z. Dautov
Kazan Federal University
Russian Federation
Russian Federation
Rafail Zamilovich Dautov
18 Kremlyovskaya str., Kazan, 420008
D. A. Gubaidullina
Kazan Federal University
Russian Federation
Russian Federation
Dinara Airatovna Gubaidullina
18 Kremlyovskaya str., Kazan, 420008
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Review
For citations:
Glazyrina O.V., Dautov R.Z., Gubaidullina D.A. Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(2):3-21. (In Russ.) https://doi.org/10.26907/0021-3446-2024-2-3-21
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