Explicit algorithms to solve a class of state constrained parabolic optimal control problems

A Lapin, E Laitinen, S Lapin - Russian Journal of Numerical Analysis …, 2015 - degruyter.com
We consider an optimal control problem of a system governed by a linear parabolic equation
with the following features: control is distributed, observation is either distributed or final …

[PDF][PDF] Iterative solution methods for parabolic optimal control problem with constraints on time derivative of state function

E Laitinen, A Lapin - vectors, 2015 - inase.org
An iterative solution method is proposed and investigated for the finite difference
approximation of a parabolic optimal control problem with constraints on time derivative of …

Domain decomposition and Uzawa-type iterative method for elliptic variational inequality

AV Lapin - Lobachevskii Journal of Mathematics, 2017 - Springer
Finite element approximation of an elliptic variational inequality with quaisilinear operator
and constraints to the solution and its gradient is constructed. Corresponding discrete …

Uzawa-type iterative solution methods for constrained saddle point problems

A Lapin - Lobachevskii Journal of Mathematics, 2018 - Springer
For finite-dimensional saddle point problem with a nonlinear monotone operator and
constraints on direct variables, iterative methods are developed, which in the potential case …

Mathematical simulation of the bending problem of the hinged sandwich plate in physically nonlinear statement

IB Badriev, AI Korablev, MV Makarov… - Journal of Physics …, 2019 - iopscience.iop.org
The work is devoted to numerical investigation of physically nonlinear problem of bending
the hinged sandwich plate with transversal soft core. The generalized statement of the …

Non-overlapping domain decomposition method for a variational inequality with gradient constraints

A Lapin, E Laitinen, S Lapin - IOP Conference Series: Materials …, 2016 - iopscience.iop.org
Non-overlapping domain decomposition method is applied to a variational inequality with
nonlinear diffusion-convection operator and gradient constraints. The method is based on …

[PDF][PDF] Kazan Federal University, 2 University of Oulu (Finland), 3 Washington State University (USA, Pullman) E-mail avlapine@ mail. ru

N KASHTANOV, E LAITINEN, A LAPIN, S LAPIN - core.ac.uk
The iterative solution methods are investigated for the finite difference approximations of
variational inequalities with diffusion-convection operator and constraints on the gradient of …

ИТЕРАЦИОННЫЕ МЕТОДЫ ДЛЯ СЕТОЧНЫХ АППРОКСИМАЦИЙ ВАРИАЦИОННЫХ НЕРАВЕНСТВ С ОГРАНИЧЕНИЯМИ НА ГРАДИЕНТ РЕШЕНИЯ

СА ЛАПИН, НС Каштанов, АВ Лапин, Л Эркки - 2014 - dspace.kpfu.ru
Исследованы итерационные методы для конечно-разностных аппроксимаций
вариационных неравенств с оператором диффузии-конвекции и ограничениями на …

ITERATIVE METHODS FOR THE GRID APPROXIMATIONS OF VARIATIONAL INEQUALITIES WITH CONSTRAINTS ON THE GRADIENT OF SOLUTION

N KASHTANOV, E LAITINEN, A LAPIN… - Сеточные методы для …, 2014 - elibrary.ru
The iterative solution methods are investigated for the finite difference approximations of
variational inequalities with diffusion-convection operator and constraints on the gradient of …