Error estimate for quasistatic history-dependent contact model. (1st June 2019)

• Record Type: Journal Article
• Authors: Cheng, Xiaoliang; Xiao, Qichang; Migórski, Stanisław; Ochal, Anna
• Is Part Of: Computers & mathematics with applications. Volume 77:issue 11(2019)
• Page Start: 2943
• Page End: 2952
• Publication Date: 2019-06-01
• Subjects: Hemivariational inequality -- Viscoelastic material -- Frictional contact -- Memory term -- Numerical approximation -- Error estimate; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.08.058
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper we consider a mathematical model which describes a quasistatic process for a viscoelastic body in contact with an obstacle or a foundation. The variational formulation of the problem is in the form of a system coupling a nonlinear integral equation with a history-dependent hemivariational inequality. We establish a fully discrete scheme of the abstract problem and derive a result on error estimate.