Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 23, number 2 (2013) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-11-05
2024-04-11
52
https://zbc.uz.zgora.pl/repozytorium/publication/88619
Nazwa wydania | Data |
---|---|
An analytical and numerical approach to a bilateral contact problem with nonmonotone friction | 2024-11-05 |
Fernández Garcia, José Ramón Han, Weimin Shillor, Meir Sofonea, Mircea Fliess, Michel - ed. Jai, Abdelhaq El - ed.
Albers, Bettina Savidis, Atavros A. Taşan, Ercan H. Estorff, Otto von Gehlken, Malte Cordón, Oskar - ed. Kazienko, Przemysław - ed.
Sharma, Avadesh Kumar Chauhan, Premanand Singh Sharma, P. Bhadoria, Shailendra Singh Jurczak, Paweł - red.
Czechowski, Leszek Jurczak, Paweł - red.
Strug, Barbara Paszyńska, Anna Paszyński, Maciej Grabska, Ewa Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Szafran, Jacek Juszczyk-Andraszyk, Klaudia Kamiński, Marcin Jurczak, Paweł - red.
Kuczma, Mieczysław Wybranowska, Krystyna Świtka, Romuald - red.
Różyło, Patryk Wysmulski, Paweł Falkowicz, Katarzyna Jurczak, Paweł - red.