Year: 2020
Author: Xiaoliang Cheng, Qichang Xiao
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 72–88
Abstract
Spatially semidiscrete and fully discrete schemes for a variational-hemivariational inequality, which describes adhesive contact between a deformable body of a viscoelastic material with long memory and a foundation are constructed. The variational formulation of the problem is represented by a system coupling a nonlinear integral equation with a history-dependent variational-hemivariational inequality. Assuming certain regularity of the solution and using piecewise linear finite element function for displacements and piecewise constant functions for bonding field, we obtain optimal order error estimates.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.181018.020419
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 72–88
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Variational-hemivariational inequality adhesion memory term numerical approximation error estimate.
Author Details
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