КФУ. Карточка публикации. Easily implementable iterative methods for variational inequalities with nonlinear diffusion-convection operator and constraints to gradient of solution

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EASILY IMPLEMENTABLE ITERATIVE METHODS FOR VARIATIONAL INEQUALITIES WITH NONLINEAR DIFFUSION-CONVECTION OPERATOR AND CONSTRAINTS TO GRADIENT OF SOLUTION

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2015

Язык

английский

Авторы, сотрудники КФУ

Лапин Александр Васильевич, автор

Лапин Сергей Александрович, автор

Другие авторы

Laitinen Erkki , автор

Библиографическое описание на языке оригинала

Laitinen E. Easily implementable iterative methods for variational inequalities with nonlinear diffusion-convection operator and constraints to gradient of solution/ Laitinen E., Lapin A., Lapin S.// Russian J. Numer. Analysis Math. Modeling, - 2015 – V.30, No.1 – P.43-54.

Аннотация

New iterative solution methods are proposed for the finite element approximation of a class of variational inequalities with nonlinear diffusion-convection operator and constraints to the gradient of solution. Implementation of every iteration of these methods reduces to the solution of a system of linear equations and a set of two-dimensional minimization problems. Convergence is proved by the application of a general result on the convergence of the iterative methods for a nonlinear constrained saddle point problem.

Ключевые слова

Variational inequality; finite element method; iterative method; constrained saddle point problem

Название журнала

Russian Journal of numerical analysis and mathematical modelling

URL

https://doi.org/10.1515/rnam-2015-0005.

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https://repository.kpfu.ru/?p_id=179482

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Лапин Александр Васильевич	ru_RU
dc.contributor.author	Лапин Сергей Александрович	ru_RU
dc.contributor.author	Laitinen Erkki	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Laitinen E. Easily implementable iterative methods for variational inequalities with nonlinear diffusion-convection operator and constraints to gradient of solution/ Laitinen E., Lapin A., Lapin S.// Russian J. Numer. Analysis Math. Modeling, - 2015 – V.30, No.1 – P.43-54.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=179482	ru_RU
dc.description.abstract	Russian Journal of numerical analysis and mathematical modelling	ru_RU
dc.description.abstract	New iterative solution methods are proposed for the finite element approximation of a class of variational inequalities with nonlinear diffusion-convection operator and constraints to the gradient of solution. Implementation of every iteration of these methods reduces to the solution of a system of linear equations and a set of two-dimensional minimization problems. Convergence is proved by the application of a general result on the convergence of the iterative methods for a nonlinear constrained saddle point problem.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Easily implementable iterative methods for variational inequalities with nonlinear diffusion-convection operator and constraints to gradient of solution	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU