Struktura obiektu

Autor:

Hild, Patrick

Współtwórca:

Korbicz, Józef - red. ; Uciński, Dariusz - red.

Tytuł:

A sign preserving mixed finite element approximation for contact problems

Tytuł publikacji grupowej:

AMCS, Volume 21 (2011)

Temat i słowa kluczowe:

variational inequality ; positive operator ; averaging operator ; contact problem ; Signorini problem ; mixed finite element method

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2011

Typ zasobu:

artykuł

DOI:

10.2478/v10006-011-0037-7

Strony:

487-498

Źródło:

AMCS, Volume 21, Number 3 (2011) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego