On the finite dimensional approximations of some mixed variational inequalities

Abstract

We construct the finite-dimensional approximations for mixed variational inequalities with pseudomonotone operators and convex non-differentiable functionals in Banach spaces. Such variational inequalities arise in the mathematical description of the processes of an established filtration and in the problems of determining the equilibrium of soft shells. The convergence of these approximations are investigated.

Производная Гато Оператора Геометрически Нелинейной Задачи Об Изгибе Трехслойной Пластины

“…Обобщенные постановки физически нелинейных и геометрически линейных задач рассмотрены в [15][16][17][18][19]. Нелинейные задачи теории мягких сетчатых оболочек изучены в [20][21][22][23][24][25][26][27][28]. Численное решение геометрически нелинейных задач проведено в [29][30][31][32][33][34][35].…”

Eigenvibrations of a bar with load

“…The theoretical basis for the study of nonlinear spectral problems is results obtained for linear eigenvalues problems [17][18][19][20][21][22][23]. In the papers [24][25][26][27][28][29][30], numerical methods for solving applied nonlinear boundary value problems and variational inequalities have been studied.…”

Finite difference approximation of electron balance problem in the stationary high-frequency induction discharges

“…The theoretical basis for the study of nonlinear eigenvalue problems is results obtained for linear eigenvalues problems [17][18][19][20][21][22][23]. In the papers [24][25][26][27][28][29][30], numerical methods for solving applied nonlinear boundary value problems and variational inequalities have been studied. …”