Affiliation:
1. School of Mathematical Science Zhejiang University Hangzhou China
2. School of Mathematics and Statistics Guizhou University Guiyang China
3. College of Science China Jiliang University Hangzhou China
Abstract
AbstractIn this paper, we consider a new obstacle problem for the elastic membrane lying above an elastic–rigid obstacle. The elastic–rigid obstacle allows limited penetration and offers a nonmonotone reactive force. We introduce the mathematical model and prove that its weak form, which is a variational–hemivariational inequality, has a unique solution. Then, we consider a discrete scheme to solve the problem. The optimal‐order error estimate under appropriate regularity assumptions is derived. Finally, numerical examples are reported, from which the theoretical predicted optimal‐order error estimate can be clearly observed.
Subject
Applied Mathematics,Computational Mechanics