On the Solving of Variational Inequalities of Stationary Problems of Two-Phase Flow in Porous Media

Ildar B. Badriev

doi:10.4028/www.scientific.net/AMM.392.183

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 392On the Solving of Variational Inequalities of...

On the Solving of Variational Inequalities of Stationary Problems of Two-Phase Flow in Porous Media

Abstract:

We consider a variational inequalities of the second kind with cocoercive operator and a non-differentiable proper convex functional. Such inequalities arise in the mathematical modeling of the problem of finding the boundaries of ultimately-stable pillars of residual viscous-plastic oil. To solve the variational inequalities we suggest the iterative process and its convergence investigated. The numerical results confirm the efficiency of the proposed method.

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Periodical:

Applied Mechanics and Materials (Volume 392)

Pages:

183-187

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.392.183

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Online since:

September 2013

Authors:

Ildar B. Badriev

Keywords:

Cocoercive Operator, Iterative Method, Mathematical Simulation, Seepage Theory, Ultimately-Stable Pillar, Variational Inequality

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