- Tytuł:
- An analytical and numerical approach to a bilateral contact problem with nonmonotone friction
- Autorzy:
-
Barboteu, M.
Bartosz, K.
Kalita, P. - Powiązania:
- https://bibliotekanauki.pl/articles/330898.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
linearly elastic material
bilateral contact
nonmonotone friction law
hemivariational inequality
finite element method
error estimate
nonconvex proximal bundle method
quasi augmented Lagrangian method
Newton method
metoda elementów skończonych
szacowanie błędu
metoda Lagrangiana
metoda Newtona - Opis:
- We consider a mathematical model which describes the contact between a linearly elastic body and an obstacle, the so-called foundation. The process is static and the contact is bilateral, i.e., there is no loss of contact. The friction is modeled with a nonmotonone law. The purpose of this work is to provide an error estimate for the Galerkin method as well as to present and compare two numerical methods for solving the resulting nonsmooth and nonconvex frictional contact problem. The first approach is based on the nonconvex proximal bundle method, whereas the second one deals with the approximation of a nonconvex problem by a sequence of nonsmooth convex programming problems. Some numerical experiments are realized to compare the two numerical approaches.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 263-276
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł