Алгоритми декомпозиції області для задач про термомеханічний контакт багатьох пружних тіл: Fìz.-mat. model. ìnf. tehnol. 2017, 26:63-82

• Дата: 2018
• Автор: Prokopyshyn, Ihor
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2018
• Теми: термоконтактні задачі теорії пружності; односторонній механічний контакт; неідеальний тепловий контакт; варіаційні нерівності; варіаційні рівняння; метод штрафу; методи декомпозиції області; метод скінченних елементів
• Онлайн доступ: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/17
• Назва журналу: Physico-mathematical modeling and informational technologies

We consider a thermoelastic multibody contact problem for finite bodies with unilateral mechanical and imperfect thermal contact conditions. Using a penalty method, we obtain a weak formulation of this problem in the form of a system of linear and nonlinear variational equations in Hilbert space. To solve this variational system, we propose a class of iterative Robin typedomain decomposition algorithms. In each iterative step of these algorithms one have to solve two linear variational equations for each of the bodies, which correspond to heat conduction problem with Newton boundary conditions on the possible contact areas and linear elasticity problem with additional volume forces and Robin boundary conditions respectively. The program implementation of proposed algorithms is made for plane thermoelastic contact problems with the use of linear and quadratic finite element approximations on triangles. 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