A penalty-finite element approximation to a Signorini two-body contact problem in thermoelasticity

作者：Copetti M I M^*

来源：Applied Mathematics and Computation, 2014, 234: 293-308.

DOI：10.1016/j.amc.2014.02.050

• Thermoviscoelasticity
• Contact problem
• Penalty method
• Finite element approximation

In this work, a numerical approximation by the finite element method of a quasi-static, frictionless, unilateral contact problem between two thermoelastic bodies, in two dimensions, is considered. The approximation scheme is based on a penalty formulation used to replace the Signorini contact condition. Convergence results and error bounds are obtained and some numerical experiments presented.

• 出版日期2014-5-15