Journal article
Easily implementable iterative methods for variational inequalities with nonlinear diffusion–convection operator and constraints to the gradient of solution
Russian journal of numerical analysis and mathematical modelling, Vol.30(1), pp.43-54
02/01/2015
Handle:
https://hdl.handle.net/2376/113394
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.
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Details
- Title
- Easily implementable iterative methods for variational inequalities with nonlinear diffusion–convection operator and constraints to the gradient of solution
- Creators
- Erkki Laitinen - University of Oulu, Oulu 90014, FinlandAlexander Lapin - Kazan Federal University, Kazan 420008, RussiaSergey Lapin - Washington State University, Pullman 99164, WA, USA
- Publication Details
- Russian journal of numerical analysis and mathematical modelling, Vol.30(1), pp.43-54
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- De Gruyter
- Number of pages
- 12
- Identifiers
- 99900548153201842
- Language
- English
- Resource Type
- Journal article