- Tytuł:
- A sign preserving mixed finite element approximation for contact problems
- Autorzy:
- Hild, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/907565.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
nierówność wariacyjna
zagadnienie kontaktowe
metoda elementów skończonych
variational inequality
positive operator
averaging operator
contact problem
Signorini problem
mixed finite element method - Opis:
- This paper is concerned with the frictionless unilateral contact problem (i.e., a Signorini problem with the elasticity operator). We consider a mixed finite element method in which the unknowns are the displacement field and the contact pressure. The particularity of the method is that it furnishes a normal displacement field and a contact pressure satisfying the sign conditions of the continuous problem. The a priori error analysis of the method is closely linked with the study of a specific positivity preserving operator of averaging type which differs from the one of Chen and Nochetto. We show that this method is convergent and satisfies the same a priori error estimates as the standard approach in which the approximated contact pressure satisfies only a weak sign condition. Finally we perform some computations to illustrate and compare the sign preserving method with the standard approach.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 487-498
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł