Geodesic
Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2024), pp. 3-21 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: finite element method, penalty method, parabolic variational inequality, accuracy estimate.
Mots-clés : implicit scheme 
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     title = {Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem},
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O. V. Glazyrina; R. Z. Dautov; D. A. Gubaidullina. Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2024), pp. 3-21. http://geodesic.mathdoc.fr/item/IVM_2024_2_a0/

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