KFU. Card publication. 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

Form of presentation

Articles in international journals and collections

Year of publication

2015

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Authors, employees of KFU

Lapin Aleksandr Vasilevich, author

Lapin Sergey Aleksandrovich, author

Other authors

Laitinen Erkki , author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

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

The name of the journal

Russian Journal of numerical analysis and mathematical modelling

URL

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

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=179482&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Lapin Aleksandr Vasilevich	ru_RU
dc.contributor.author	Lapin Sergey Aleksandrovich	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/eng/?p_id=179482&p_lang=2	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	Articles in international journals and collections	ru_RU