The finite element method scheme for a solution of an evolution variational inequality with a nonlocal space operator

11th International Conference on "Mesh methods for boundary-value problems and applications"

Glazyrina, O.V.^1 ; Pavlova, M.F.^1

Kazan Federal University, 18 Kremlyovskaya str., Kazan

420008, Russia^1

关键词: Differential scheme;    Penalty methods;    Semidiscretization;    Solution characteristics;    Space operators;    Time variable;    Two-layer;    Variational inequalities;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012040/pdf
DOI  :  10.1088/1757-899X/158/1/012040

来源: IOP

【 摘 要 】

We consider the parabolic inequality with monotone with respect to a gradient space operator, which is depended on integral with respect to space variables solution characteristic. We construct a two-layer differential scheme for this problem with use of penalty method, semidiscretization with respect to time variable method and the finite element method (FEM) with respect to space variables. We proved a convergence of constructed mothod.