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

Author:

Badriev Ildar B.1

Affiliation:

1. Kazan (Volga Region) Federal University

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.

Publisher

Trans Tech Publications, Ltd.

Reference4 articles.

1. Zhu D., P. Marcotte New classes of generalized monotonicity / Journal of Optimazation Theory and Applications. – 1995. – V. 87, № 2. – P. 457–471.

2. Entov, V.M., Pankov, V.N., and Pan'ko, S.V. Mathematical Theory of Unrecovered Visco-Plastic Oil [Matematicheskaya teoriya tselikov ostatochnoi vyazkoplastichnoi nefti, in Russian], Tomsk, Russia, (1989).

3. Lapin, A.V., Investigation of some non-linear problems of filtering theory / USSR Computational Mathematics and Mathematical Physics. – 1979. – V. 19, Is. 3, P. 135-148.

4. Ekeland I. and Temam R. Convex Analysis and Variational Problems, Amsterdam: North-Holland, (1976).

Cited by 26 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Finite difference approximation of eigenvibrations of a cantilever beam with elastically attached load;MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2020): Proceeding of the 14th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures;2020

2. Eigenvibrations of a bar with two attached loads;MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2020): Proceeding of the 14th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures;2020

3. Numerical study of non-linear deformation processes of porous concrete;IOP Conference Series: Materials Science and Engineering;2020-01-01

4. Investigation of the effect of elastic-plastic loading modes in the manufacture of metal flywheels on their performance properties;IOP Conference Series: Materials Science and Engineering;2020-01-01

5. Quadrature finite element method for the problem on eigenvibrations of a bar with elastic support;IOP Conference Series: Materials Science and Engineering;2020-01-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3