Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: A sign preserving mixed finite element approximation for contact problems
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, Volume 21, Number 3 (2011) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2011)
Last modified:
Jul 14, 2025
In our library since:
Aug 27, 2018
Number of object content hits:
255
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/55033
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21, number 1 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21, number 2 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21, number 3 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21, number 4 (2011)
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| Edition name | Date |
|---|---|
| A sign preserving mixed finite element approximation for contact problems | Jul 14, 2025 |
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