Back to Search Start Over

Numerical analysis of history-dependent variational–hemivariational inequalities with applications in contact mechanics

Authors :
Weimin Han
Ziping Huang
Wenbin Chen
Cheng Wang
Wei Xu
Source :
Journal of Computational and Applied Mathematics. 351:364-377
Publication Year :
2019
Publisher :
Elsevier BV, 2019.

Abstract

This paper is devoted to numerical analysis of history-dependent variational– hemivariational inequalities arising in contact problems for viscoelastic material. We introduce both temporally semi-discrete approximation and fully discrete approximation for the problem, where the temporal integration is approximated by a trapezoidal rule and the spatial variable is approximated by the finite element method. We analyze the discrete schemes and derive error bounds. The results are applied for the numerical solution of a quasistatic contact problem. For the linear finite element method, we prove that the error estimation for the numerical solution is of optimal order under appropriate solution regularity assumptions.

Details

ISSN :
03770427
Volume :
351
Database :
OpenAIRE
Journal :
Journal of Computational and Applied Mathematics
Accession number :
edsair.doi...........a1c1c459c565fbf5fe3e1464dd26165d
Full Text :
https://doi.org/10.1016/j.cam.2018.08.046