TY - GEN A1 - Hild, Patrick A2 - Korbicz, Józef - red. A2 - Uciński, Dariusz - red. PB - Zielona Góra: Uniwersytet Zielonogórski N2 - 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. N2 - 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. L1 - http://www.zbc.uz.zgora.pl/Content/46933/AMCS_2011_21_3_7.pdf L2 - http://www.zbc.uz.zgora.pl/Content/46933 KW - variational inequality KW - positive operator KW - averaging operator KW - contact problem KW - Signorini problem KW - mixed finite element method T1 - A sign preserving mixed finite element approximation for contact problems UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=46933 ER -