On the Finite Element Approximations of Mixed Variational Inequalities of Filtration Theory

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

Badriev, I.B.^1 ; Banderov, V.V.^1 ; Lavrentyeva, E.E.^1 ; Pankratova, O.V.^1

Kazan Federal University, 18 Kremlyovskaya Street, Kazan

420008, Russia^1

关键词: Filtration theory;    Finite element approximations;    Functionals;    Mathematical descriptions;    Mixed variational;    Non-differentiable;    Pseudomonotone operators;    Variational inequalities;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012012/pdf
DOI  :  10.1088/1757-899X/158/1/012012

来源: IOP

【 摘 要 】

We construct the finite-element approximations for mixed variational inequalities with pseudomonotone operators and convex non-differentiable functionals in Sobolev spaces. Such variational inequalities arise in the mathematical description of the processes of an established filtration. The convergence of these approximations are investigated.