@Article{EAJAM-10-72, author = {Cheng , Xiaoliang and Xiao , Qichang}, title = {Numerical Analysis of an Adhesive Contact Problem with Long Memory}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {1}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.181018.020419}, url = {http://global-sci.org/intro/article_detail/eajam/13603.html} }